Find the measure of the arc or angle indicated. Assume that lines which appear tangent are tangent

Answers

Answer 1

The sum of all the angles in a quadrilateral is 360° ,So The angle measure indicated is 137°.

What is radius?

In classical geometry, the radius of a circle or sphere is any line segment that links the object's centre to its edge; in more modern usage, the term also refers to the length of such line segments. The Latin term "radius," which may also be used to describe a chariot wheel spoke, is where the word "radius" first appeared.

The length of tangents drawn from an external point is known to be constant. The circle's radius across the point of contact and any other point on the circle are perpendicular to the tangent. A quadrilateral has 360° of angles total. In light of this, 137° is the indicated angle measurement.

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Correct question is

Find the angle measure indicated. Assume that lines which appear to be tangent are tangent.

Find The Measure Of The Arc Or Angle Indicated. Assume That Lines Which Appear Tangent Are Tangent

Related Questions

Orlando wants to borrow $3,000 for the purchase of a used car. He has to pay back the loan after 4 years. The two loan options are simple interest at a rate of 5. 8% each year, or interest compounded annually at a rate of 5. 2% each year. Which method should he choose , simple or compound , and how much less will he owe using that method?

Answers

Orlando should consider using simple interest and the amount he will have to pay is $696, under the condition that he wants to borrow $3,000 for the purchase of a used car. He needs to clear the loan after 4 years.

Orlando should apply the simple interest method.

The amount of interest he will pay using simple interest is evaluated

I = P × r × t

Here

I = interest paid

P = borrowed principal amount

r =  rate of annual interest

t = time

In this case,

P = $3,000

r = 5.8%

t = 4 years

Therefore,

I = $3,000 × 0.058 × 4

= $696

So Orlando will pay $696 in interest using simple interest.

The amount of interest he will pay using compound interest is calculated as follows:

[tex]A = P * (1 + r/n)^{(n*t)}[/tex]

I = A - P

Here,

A = end term amount

n = count of interest that is compounded each year

In this case,

P = $3,000

r = 5.2%

t = 4 years

Interest is compounded annually so n=1

Therefore,

A = $3,000 × (1 + 0.052/1)⁴

= $3,697.47

I = $3,697.47 - $3,000

= $697.47

So Orlando will pay $697.47 in interest using compound interest.

Therefore, Orlando should choose simple interest method and he will owe $1.47 less using that method.

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Casho signed up for a streaming music service that costs $7 per month. The service allows Casho to listen to unlimited music, but if she wants to download songs for offline listening, the service charges $1. 50 per song. How much total money would Casho have to pay in a month in which she downloaded 30 songs? How much would she have to pay if she downloaded ss songs?

Answers

To find out how much Casho would have to pay in a month in which she downloaded 30 songs, we need to consider both the monthly subscription cost and the cost per song for offline listening.

Step 1: Determine the cost of the monthly subscription, which is $7.

Step 2: Calculate the cost of downloading 30 songs for offline listening. To do this, multiply the cost per song ($1.50) by the number of songs (30).
1.50 * 30 = $45

Step 3: Add the monthly subscription cost ($7) to the cost of downloading 30 songs ($45).
7 + 45 = $52

So, Casho would have to pay $52 a month in which she downloaded 30 songs.

Now, let's find out how much Casho would have to pay if she downloaded ss songs.

Step 1: The cost of the monthly subscription remains the same at $7.

Step 2: Calculate the cost of downloading ss songs for offline listening. Multiply the cost per song ($1.50) by the number of songs (ss).
1.50 * ss = 1.50ss

Step 3: Add the monthly subscription cost ($7) to the cost of downloading ss songs (1.50ss).
7 + 1.50ss = 7 + 1.50ss

The total amount Casho would have to pay if she downloaded ss songs is 7 + 1.50ss.

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Consider the vector field F(x, y, z) = (yz, -5xz, –4xy). Find the divergence and curl of F. div(F) = V.F= = curl(F) = V XF =( ). B) Consider the vector field F(x, y, z) = (-x?, -(x + y)

Answers

a) The divergence of F is -4x - 2y,

b) The curl of F is (-2(x+y), 0, -2x).

A) To find the divergence of F, we need to take the dot product of the del operator with F. Therefore, we have:

div(F) = ∇ · F = ∂(yz)/∂x + ∂(-5xz)/∂y + ∂(-4xy)/∂z

= 0 - 5z - 4x

= -5z - 4x

To find the curl of F, we need to take the cross product of the del operator with F. Therefore, we have:

curl(F) = ∇ × F = ( ∂(-4xy)/∂y - ∂(-5xz)/∂z, ∂(yz)/∂z - ∂(4xy)/∂x, ∂(-yz)/∂x - ∂(-5xz)/∂y )

= (-5z, y, -5x)

B) To find the divergence of F, we need to take the dot product of the del operator with F. Therefore, we have:

div(F) = ∇ · F = ∂(-x²)/∂x + ∂(-(x+y)²)/∂y + ∂(0)/∂z

= -2x - 2(x+y)

= -4x - 2y

To find the curl of F, we need to take the cross product of the del operator with F. Therefore, we have:

curl(F) = ∇ × F = ( ∂(0)/∂y - ∂(-(x+y)²)/∂z, ∂(0)/∂z - ∂(-x²)/∂x, ∂(-(x+y))/∂x - ∂(-x²)/∂y )

= (-2(x+y), 0, -2x)

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The probability that Mr Smith will have coffee with his breakfast is 0. 35. Find the probability that in the next 25 mornings, Mr Smith will have coffee on exactly 8 mornings

Answers

The probability that Mr Smith will have coffee on exactly 8 mornings out of the next 25 is 0.142, or 14.2%.

This scenario can be modeled by a binomial distribution, where:

The probability of success (having coffee) on any given morning is p = 0.35

The number of trials (mornings) is n = 25

The number of successes (mornings with coffee) we want to find the probability for is k = 8.

The probability mass function for a binomial distribution is given by:

[tex]P(X = k) = (n \: choose \: k) \times p^k \times (1-p)^{(n-k)},[/tex]

where (n choose k) is the binomial coefficient, which represents the number of ways to choose k items out of n. It can be calculated as:

(n choose k) = n! / (k! × (n-k)!)

Using this formula and putting in the values we have,

[tex]P(X = 8) = (25 \: choose \: 8) \times 0.35^8 \times (1-0.35)^{(25-8)} [/tex]

[tex]P(X = 8) ≈ 0.142[/tex]

Therefore, the probability that Mr Smith will have coffee on exactly 8 mornings out of the next 25 is approximately 0.142, or 14.2%.

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Emir earned some money doing odd jobs last summer and put it in a savings account that earns 10% interest compounded monthly. After 9 years, there is $400. 00 in the account. How much did Emir earn doing odd jobs?

Round your answer to the nearest cent

Answers

Emir earned approximately $207.05 doing odd jobs.

Let x be the amount that Emir earned doing odd jobs. We can use the formula for compound interest, A = P(1+r/n)^(nt), where A is the final amount, P is the principal amount, r is the interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

In this case, we have P = x, r = 0.1, n = 12 (since interest is compounded monthly), t = 9, and A = 400. Solving for x, we get:

x = A/(1+r/n)^(nt) = 400/(1+0.1/12)^(12*9) ≈ $207.05

Therefore, Emir earned approximately $207.05 doing odd jobs.

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Kevin has three classes in a row. Eight classes two hours long. Kevin’s first class is at seven. When will Karen’s last class and?

Answers

Karen's last class will end at three in the afternoon.

At what time will Karen’s final class conclude?

Given that Kevin has three classes in a row, each lasting two hours, we can calculate the total duration of his classes. Three classes, each two hours long, amount to a total of 6 hours.

Since Kevin's first class starts at seven in the morning, we add 6 hours to that time, resulting in the conclusion of Karen's last class at three in the afternoon.

Understanding schedules and timetables is essential for effective time management. In academic settings, students often have multiple classes with varying durations throughout the day.

Calculating the end time of a class or event based on its start time and duration helps individuals plan their activities and allocate their time efficiently.

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An object is launched vertically in the air at 41.65 meters per second from a 7-meter-tall platform. using the projectile motion model h(t)=-4.9t^2+v0t+h0, where h(t) is the height of the projectile t seconds after it’s departure, v0 is the initial velocity in meters per second, and h0 is the initial height in meters, determine how long it will take for the object to reach its maximum height. what is the maximum height?

Answers

To find the maximum height of the object, we need to first determine when the object reaches that height. We can use the projectile motion model h(t) = -4.9t^2 + v0t + h0 to solve for the time it takes for the object to reach its maximum height.

Since the object is launched vertically, we know that its initial velocity is 41.65 m/s and its initial height is 7 meters. We can substitute these values into the projectile motion model and solve for when the object reaches its maximum height by finding the vertex of the resulting quadratic function.

h(t) = -4.9t^2 + 41.65t + 7

To find the time it takes for the object to reach its maximum height, we can use the formula t = -b/2a, where a = -4.9 and b = 41.65.
t = -(41.65)/(2(-4.9))
t = 4.25 seconds

Therefore, it takes 4.25 seconds for the object to reach its maximum height.
To find the maximum height, we can plug in this time value into the projectile motion model and solve for h(t).
h(4.25) = -4.9(4.25)^2 + 41.65(4.25) + 7


h(4.25) = 89.57 meters
The maximum height of the object is 89.57 meters.

In summary, the object launched vertically from a 7-meter-tall platform with an initial velocity of 41.65 m/s takes 4.25 seconds to reach its maximum height of 89.57 meters. This is found by using the projectile motion model h(t) = -4.9t^2 + v0t + h0 and finding the time it takes for the object to reach its maximum height, and then plugging in that time value to find the maximum height.

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7. Membership at the local Sky Zone costs $189 per year and an hour costs $15 each.
Write an expression (make sure it looks like an expression, not an equation) to
represent the total cost of going to Sky Zone for the year. Evaluate the expression
(make it an equation) if you jump for 19 hours in a year. Write a "therefore"
statement. (4 marks)

Answers

189*365=68985

68985/15= $4599

Step-by-step explanation:

or $5000 if you round up

A skier can purchase a daily or season pass.


The daily pass costs $48 per day and included


the price of ski rentals. The season pass costs


$190 plus a daily fee of $10 to rent the skis.


How many days would a skier have to go skiing


in order for both options to cost the same?


A.


5 days


C. 240 days


D. 10 days


B.


3 days

Answers

We know that the skier would have to go skiing for 5 days in order for both options to cost the same.

To find out how many days a skier would have to go skiing for both options to cost the same, we need to set up an equation. Let's use "d" to represent the number of days the skier goes skiing.

For the daily pass option:
Total cost = $48 x d

For the season pass option:
Total cost = $190 + ($10 x d)

Now we can set up the equation:

$48 x d = $190 + ($10 x d)

Simplifying this equation, we get:

$38 x d = $190

Solving for "d", we get:

d = 5

Therefore, the skier would have to go skiing for 5 days in order for both options to cost the same.

So the answer is A. 5 days.

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PLEASE HELP ME IMMEDIATELY!!!!!

Answers

The intervals where f is decreasing are given as follows:

None of the above.

When a function is increasing and when it is decreasing, looking at it's graph?

Looking at the graph, we get that a function f(x) is increasing when it is "moving northeast", that is, to the right and up on the graph, meaning that when the input variable represented x increases, the output variable represented  by y also increases.Looking at the graph, we get that a function f(x) is decreasing when it is "moving southeast", that is, to the right and down the graph, meaning that when the input variable represented by x increases, the output variable represented by y decreases.

Hence the decreasing intervals of the function are given as follows:

-3.5 < x < -1.x > 2.5.

Which are none of the options given in the problem.

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If x = 3 centimeters, y = 5 centimeters, and z = 5 centimeters, what is the area of the object?

A. 40 square centimeters
B. 50 square centimeters
C. 45 square centimeters
D. 25 square centimeters

Answers

The area of the object is 40 square centimeters

The correct answer is an option (B)

We know that the formula for the area of trapezoid is,

A = ((a + b)/2) × h

where a and b are the two parallel bases

h is the height of the trapezoid

From the attached figure, first we determine the length of the two parallel bases.

Let us assume that 'a' represents the length of the upper base and 'b' represents the length of the bottom side of the trapezoid

We can observe that a = 2x

so the length of a = 6 centimeters

And b = 2z

So, the length of b = 2(5)

                              = 10 cm

Here, the height h of the trapezoid is given by y = 5 cm

Using above formula for the area of trapezoid, the area of the object would be,

A = ((a + b)/2) × h

A = ((6 + 10)/2) × 5

A = (16/2)  × 5

A = 40 cm²

Therefore, the correct answer is an option (B)

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Find the complete question below.

Find the amount of tin needed to make a milk can that has a diameter of 4cm and height of 5cm

Answers

In the surface area, the amount of tin needed to make a milk can is 87.92 [tex]cm^2[/tex].

What is surface area?

A three-dimensional object's surface area is the space it takes up when viewed from the outside.

Here we know that the tin is in the shape of cylinder.

Now to find the amount we need to determine the surface area of the cylinder.

Now Height h = 5 cm, Diameter = 4 cm then radius r = d/2 = 4/2 = 2 cm.

Now using formula then,

Surface  Area  = 2[tex]\pi\\[/tex]r(h+r) square unit.

=> Surface area = [tex]2\times3.14\times2(5+2)=2\times3.14\times2\times7[/tex] = 87.92 [tex]cm^2[/tex]

Hence the amount of tin needed to make a milk can is 87.92 [tex]cm^2[/tex].

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The following table is based on 16 trials.


Х 15 16 17 18


frequency 2 4 8 2


Based on the table, how many 16's would you expect to get if there are 120 trials?

Answers

This means that there is a 50% chance that the outcome of a trial will be 17.

The given table represents the frequency distribution of a discrete random variable X, which has four possible outcomes: 15, 16, 17, and 18. The frequency of each outcome indicates the number of times that outcome occurs in 16 trials.

To calculate the probability of a specific outcome, we divide its frequency by the total number of trials. In this case, we want to find P(X=17), which is the probability that the outcome of a trial is 17. From the table, we see that the frequency of X=17 is 8, which means that 17 occurred 8 times out of 16 trials. Therefore,

P(X=17) = frequency of X=17 / total number of trials = 8 / 16 = 0.5

This means that there is a 50% chance that the outcome of a trial will be 17.

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Full Question: The Following Table Is Based On 16 Trials. X 15 16 17 18 Frequency 2 4 8 2 Based On The Table, What Is P(X=17)? Leave Your Answer In Decimal Form To Three Places.

The following table is based on 16 trials.

x 15 16 17 18

frequency 2 4 8 2

Based on the table, what is P(x=17)?

Leave your answer in decimal form to three places.

3−(−1)+(−1)−33, minus, left parenthesis, minus, 1, right parenthesis, plus, left parenthesis, minus, 1, right parenthesis, minus, 3

Answers

The calculated value of the expression 3 - (-1) + (-1) - 3 using a calculator is 0

Finding the value of the expression 3 - (-1) + (-1) - 3

From the question, we have the following parameters that can be used in our computation:

The expression 3 - (-1) + (-1) - 3

We can add the numbers using a calculator

So, we have the following representation

Value = 3 - (-1) + (-1) - 3

Using the above as a guide, we have the following:

Value = 0

This means that the value of the expression 3 - (-1) + (-1) - 3 using a calculator is 0

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Find the perimeter of the rectangle, in feet.


L: 3 1/4 FT

W: 7/8 FT


Answers:

A. 8 1/4 ft

B: 8 1/5 ft

C: 8 1/2 ft

D: 8 1/3 ft

Answers

The perimeter of the rectangle is 8 1/4 feet. the correct answer is A.

Perimeter is the total length of the sides of a two-dimensional shape. In a rectangle, opposite sides are equal in length, so the perimeter can be found by adding the lengths of all four sides. To find the perimeter of a rectangle, we use the formula:

Perimeter = 2(length + width)

In this case, the length is given as 3 1/4 feet and the width is given as 7/8 feet. To find the perimeter, we substitute these values into the formula:

Perimeter = 2(3 1/4 + 7/8)

To simplify, we need to convert the mixed number to an improper fraction and find a common denominator for the fractions:

Perimeter = 2(13/4 + 7/8)

Perimeter = 2(26/8 + 7/8)

Perimeter = 2(33/8)

Now we can simplify the expression by multiplying 2 by the fraction:

Perimeter = 66/8

We can reduce this fraction by dividing both the numerator and denominator by 2:

Perimeter = 33/4

Therefore, the perimeter of the rectangle is 8 1/4 feet, which is answer choice A.

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PLEASE HELP ME ASAP
Can you please make a copy and put dots in eachone that goes where its supposed to go

Answers

Answer:

1

1

1

2

2

2

2

Step-by-step explanation:

Quadrilateral ABCD is a square with diagonals AC and BD. If A(4, 9) and C(3, 2), find the slope of BD.
Using the given information from #13, find the length of BD. Give your answer in simplest radical form.
B
the location of point 0 on directed line segment PS such that PO: OS is divided into a ratio of 3:2

Answers

The length of BD is √(65)) and the slope of BD is 1/7.

What does Quadrilateral means ?

In geometry, a quadrilateral is a four-sided polygon with four sides (sides) and four angles (vertices). The word is derived from the Latin words quadri, the form of four, and latus, meaning "side". Different types of quadrilaterals include trapezoid, parallelogram, rectangle, rhombus, square, kite

 To find the slope of the diagonal BD of  square ABCD, you must first  find the coordinates of points B and  D. Since ABCD is a square, all sides are the same length and the diagonals bisect each other at 90 degrees.  

The midpoint M of AC is the intersection of the diagonals, so we can find the coordinates of M by taking the average of the x-coordinates and the average of the y-coordinates:

M = ((4 +3)/2, (9+ 2)/2) = (3.5, 5.5)

Since BD bisects AC, the coordinates of the midpoint M are also the coordinates of both B and D. Hence we have:

B = D = (3.5, 5.5)

The slope of the line passing through points A and C is:

m_AC = (2-9)/(3-4) = -7

Since the diagonals of the square are perpendicular, the slope of BD is the negative inverse of m_AC:

m_BD = -1/m_AC = 1/7

We can use the Pythagorean theorem to find the length of BD. Let x be the length of BD. Then we have:

AC² + BD² = 2x²

Since AC is the diagonal of the square, its length is:

AC = square((3-4)²+ (2-9)²) = square(65)

Substituting this into the above equation  and solving for x, we get:

√(65) x² = 2x²

x² = square(65)

x = square (square(65))

Therefore, the length of BD is √(65) and the slope of BD is 1/7.

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Find the critical value t Subscript c for the confidence level c=0.90. and sample size n=26

Answers

The critical value t Subscript c for a confidence level of 0.90 and sample size of 26 is 1.708. A t-value greater than or less than 1.708 in absolute value would lead to rejection of the null hypothesis at the 0.10 level of significance.

To find the critical value t Subscript c for the confidence level c=0.90 and sample size n=26, we can use a t-distribution table or calculator.

Since we have a sample size of n=26, we have n-1 = 25 degrees of freedom. Using a t-distribution table or calculator with 25 degrees of freedom and a confidence level of 0.90, we get

t Subscript c = 1.708

Therefore, the critical value t Subscript c for the confidence level c=0.90 and sample size n=26 is 1.708. This means that if we calculate the t-value from our sample data and it is greater than or less than 1.708 in absolute value, we can reject the null hypothesis at the 0.10 level of significance.

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Find the average rate of change for the given function. f(x) = x² x + 6x between x = 0 and x = 7 The average rate of change is 13. (Simplify your answer.)

Answers

The average rate of change for the function f(x) = x² + 6x between x = 0 and x = 7 is 13.

To find the average rate of change for the given function f(x) = x² + 6x between x = 0 and x = 7, you can follow these steps: Calculate the value of the function at the given points.
f(0) = 0² + 6(0) = 0
f(7) = 7² + 6(7) = 49 + 42 = 91

Use the average rate of change formula, which is (f(b) - f(a)) / (b - a), where a and b are the given points.

Substitute the values into the formula:
Average rate of change = (f(7) - f(0)) / (7 - 0) = (91 - 0) / 7 = 91 / 7 = 13

Therefore the average rate of change for the function f(x) = x² + 6x between x = 0 and x = 7 is calculated to be 13.

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6. A certificate of deposit (CD) pays 2. 25% annual interest compounded biweekly. If you


deposit $500 into this CD, what will the balance be after 6 years?


Answers

The balance of the CD after 6 years will be $678.35.

To calculate the balance of the CD after 6 years, we need to use the formula:

[tex]A = P(1 + r/n)^{(nt)[/tex]

Where:
A = the balance after 6 years
P = the initial deposit of $500
r = the annual interest rate of 2.25%
n = the number of times the interest is compounded per year (biweekly = 26 times per year)
t = the number of years (6)

Plugging in the values, we get:

A = [tex]500(1 + 0.0225/26)^{(26*6)[/tex]
A = 500(1.001727)¹⁵⁶
A = 500(1.3567)
A = $678.35

Therefore, the balance of the CD after 6 years will be $678.35.

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How do I do number 3?

Answers

3.) The volume of the triangular prism = 6,480 mi³

The surface area of the triangular prism = 1,872mi²

How to calculate the surface area of the triangular prism?

To determine the surface area of the given triangular prism, the formula that should be used is given as follows:

Surface area = bH + (b1+b2+b3)×l

where ;

b= 8 mi

b1 = 18 mi

b2 = 24 mi

b3 = 30 mi

Height = 18 mi

length = 24 mi

Surface area = 8×18 + ( 18+24+30)× 24

= 144 + 1728

= 1,872mi²

To calculate the volume of a triangular prism, the formula the should be used is given as follows;

Volume = 1/2 × b× h × L

where;

b = 24 ni

h = 18 mi

l = 30 mi

volume = 1/2 ×24×18×30

= 6,480 mi³

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How many outcomes are there in a 5 digit license plate if the first 2 digits must be letters and the last 3 digits are numbers?
The letters and numbers can be repeated.
100
B 260
676,000
D 1,757,600

Answers

C.

Hope this helps brainliest would be appreciated!

What is the value of 6x*2 +17 when x=8

Answers

the answer is 113 hope this helps

Answer:

113 or 401: see below for explanation

Step-by-step explanation:

x = 8

The way you wrote it with the " * " symbol, it means the multiplication of 6x and 2. This is what I did in the line below.

6x × 2 + 17 = 6 × 8 × 2 + 17 = 48 × 2 + 17 = 113

If by " * " you actually meant an exponent, such as 6x², then here is the calculation using 2 as an exponent. For exponent, we normally use ^, such as 6x^2 to mean 6x².

6x² + 17 = 6 × 8² + 17 = 6 × 64 + 17 = 384 + 17 = 401

I need help on this question, and please explain how you did it.

Answers

The expression for AB in terms of x and √3 is:

AB = x√3.

What is an expression?

An expression in mathematics is a combination of numbers, variables, and/or operators that represents a mathematical relationship or quantity. It may contain constants, variables, coefficients, and mathematical operations such as addition, subtraction, multiplication, division, and exponentiation. Expressions are often used to describe or represent real-world situations, and can be simplified, evaluated, or manipulated using algebraic rules and properties.

In the given question,

In a right triangle ABC, if sin B = 0.5, then we know that:

sin B = opposite / hypotenuse

So, we can write:

0.5 = AB / CB

We also know that:

CB² = AB² + AC²

Substituting the value of AC, we get:

CB² = AB² + (3x)²

CB² = AB² + 9x²

Now, we can substitute the value of CB² from the first equation:

(AB / 0.5)² = AB² + 9x²

4AB² = AB² + 9x²

3AB² = 9x²

AB² = 3x²

The expression for AB in terms of x and √3 is:

AB = x√3

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A translation is applied to the square formed by the points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6) . Select the phrase from the drop-down menu to correctly describe the translation. The square was translated Choose... .

Answers

The square was translated 2 units downwards.

Describing the transformation

From the question, we have the following parameters that can be used in our computation:

Points A(−3, −4) , B(−3, 5) , C(6, 5) , and D(6, −4) . The image is the square that has vertices ​ A′(−3, −6) ​, ​ B′(−3, 3) ​, C′(6, 3) and D′(6, −6)

The square was translated 2 units downward since all the y-coordinates of the vertices of the image square are 2 units less than the corresponding y-coordinates of the vertices of the pre-image square.

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Tabitha bought a new SUV and obtained a loan for $29,000. The annual interest


rate is 4. 3% for 7 years. If Tabitha takes the loan for 5 years instead of 7, she will


save. 5% on the interest rate. How much less will Tabitha pay for her SUV if she


takes the loan for 5 years? *

Answers

Tabitha could pay $4,408.29 less for her SUV if she takes the loan for five years in place of 7.

To calculate the total amount Tabitha might pay for the SUV with a 7-year loan, we are able to use the compound interest formula for calculating the total amount of a loan, that is:

[tex]total amount = principal x (1 + interest charge)^{time}[/tex]

Wherein:

principal is the amount of the loaninterest charge is the annual interest rate Time is the length of the loan in years

With a 7-year loan, the full amount Tabitha could pay is:

[tex]total amount = $29,000 x (1 + 0.043)^{7} = $37,501.76[/tex]

To calculate the overall amount she could pay with a 5-year loan and a 5% decrease interest rate, we first need to calculate the new interest price. A 5% discount inside the interest price of 4.3% is:

New interest price = 4.3% - 5% = 3.3%

Then we can use the equal formula as before to calculate the total amount with the 5-year mortgage:

[tex]total amount = $29,000 x (1 + 0.033)^{5} = $33,093.47[/tex]

The difference in the overall amount among the two loans is:

$37,501.76 - $33,093.47 = $4,408.29

Therefore, Tabitha could pay $4,408.29 less for her SUV if she takes the loan for five years in place of 7.

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A jar contains 11 red marbles, 12 blue marbles, and 6 white marbles. Four marbles from this jar are selected, with each marble being replaced after each selection. What is the standard deviation of X, the number of draws until the first red marble? 0. 4852 0. 9704 2. 0770 1. 5172

Answers

The standard deviation of X to be approximately 0.4852. The correct answer is option (A).

To calculate the standard deviation of X, we need to first calculate the probability of drawing a red marble on the first draw, which is 11/29. The probability of not drawing a red marble on the first draw is 18/29. The probability of drawing a red marble on the second draw, given that we did not draw a red marble on the first draw, is 11/29. Using the formula for the geometric distribution, which models the number of trials until the first success, we can calculate the expected value of X, which is 1/p, where p is the probability of success (11/29 in this case).

Therefore, the expected value of X is 29/11. To calculate the standard deviation of X, we use the formula sqrt(q/p^2), where q is the probability of failure (18/29) and p is the probability of success (11/29). Plugging in these values, we get the standard deviation of X to be approximately 0.4852.  Therefore, the correct answer is option A, 0.4852.

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(1 point) Calculate T..T,, and n(u, v) for the parametrized surface at the given point. Then find the equation of the tangent plane to the surface at that point. (u, v) = (24 + 0,u - 40, 8u): u = 3. V = 9 T, T, = n(u, v) = . The tangent plane: = 92

Answers

Given points:

(u, v) = (24 + 0,u - 40, 8u): u = 3. V = 9 T, T, = n(u, v)

the equation of the tangent plane at the point (u, v) = (24, 9) is:-8x + z = -183T

Process of finding equation:

To start, let's find T..T,, which represents the magnitude of the tangent vector at the given point:

T..T, = ||n(u, v)|| = ||n(24, -31, 72)|| = ||<48, -62, 144>|| = sqrt(48^2 + (-62)^2 + 144^2) = sqrt(11668) ≈ 108.03

Next, let's find the normal vector n(u, v) at the given point:

n(u, v) =

where f_u and f_v are the partial derivatives of the surface equation with respect to u and v, respectively.

In this case, we have:

f(u, v) = (24 + 0,u - 40, 8u)
f_u = <0, 1, 8>
f_v = <1, 0, 0>

Therefore, at the point (u, v) = (24, 9), we have:

n(u, v) = <0, 1, 8> x <1, 0, 0> = <-8, 0, 1>

Finally, let's find the equation of the tangent plane at the point (u, v) = (24, 9). The equation of a plane can be written as:

Ax + By + Cz = D

where A, B, and C are the components of the normal vector, and D can be found by plugging in the coordinates of the point on the plane. In this case, we have:

A = -8
B = 0
C = 1
D = -8(24) + 1(9) = -183

Therefore, the equation of the tangent plane at the point (u, v) = (24, 9) is:

-8x + z = -183

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() Jamison works as a server at a local restaurant. He made $42.80 in tips on
Thursday night. He made 2 1/4 times that amount in tips on Friday night. How much
in tips did he earn on Friday?

Answers

Therefore, Jamison made $96.30 in tips on Friday night.

What is equation?

An equation is a mathematical statement that shows that two expressions are equal. It consists of two sides, left-hand side (LHS) and right-hand side (RHS), connected by an equal sign (=). The LHS and RHS can contain numbers, variables, operators, and functions, and the equal sign indicates that the value of the expression on the LHS is equal to the value of the expression on the RHS.

Here,

Jamison made $42.80 in tips on Thursday night.

To find out how much he made in tips on Friday night, we need to multiply the Thursday amount by 2 1/4, which is the same as multiplying it by 9/4.

$42.80 x 9/4 = $96.30

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Determine if the sequence is a geometric sequence. If it is, find the common ratio and write the explicit formula and recursive definition. 45, 15, 5, 5/3​

Answers

The type of sequence is a geometric sequence with a common ratio of 1/3

Checking the type of sequence

To determine whether the given sequence is a geometric sequence, we need to check if there is a common ratio between any two consecutive terms.

The common ratio, denoted by "r", is calculated by dividing any term of the sequence by its preceding term.

Let's check if there is a common ratio between any two consecutive terms of the given sequence:

15/45 = 1/3

5/15 = 1/3

5/3 / 5 = 1/3

Since the ratio between any two consecutive terms is the same (1/3), the sequence is a geometric sequence.

To find the explicit formula for a geometric sequence, we use the formula:

an = a1 * r^(n-1)

So, we have

an = 45* (1/3)^(n-1)

For the recursice sequence, we have

an = a(n - 1) * 1/3

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