HELP ASAP
8. The tubes on the frame of this road bike form a triangle. The owner's manual
identifies some of the angle measures formed by the bike frame. Based on the
information in the diagram below, determine which tube is the longest.
top tube
seat tube
top tube
30%
7
55
C
down tube
Part I: Classify the triangle formed by the three bike frame tubes as equilateral,
isosceles, or scalene. Find the measure of ZB and explain your classification. (3
points; 1 point for classification, 1 point for the angle measure, and 1 point for
explanation)
seat tube
down tube

Answers

Answer 1

Answer:

See below

Step-by-step explanation:

Longest is the down tube.....it is opposite the largest angle (95°) angle in the triangle . This is a SCALENE triangle ( all sides of different length)

Answer 2

The longest tube that we have here is the down tube. The triangle that is formed id the scalene triangle

What is the scalene triangle

A scalene triangle is a type of triangle where all three sides have different lengths. In other words, no two sides of a scalene triangle are equal in length. Additionally, the angles of a scalene triangle are also different from each other.

The term "scalene" comes from the Greek word "skalenos," which means "uneven" or "unequal." This name reflects the defining characteristic of the scalene triangle, which is the absence of any equal sides or angles.

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Related Questions

Rationalize the Denominator
2i/i-2

Answers

Answer:

2-4i/5

Step-by-step explanation:

[tex]\frac{2i}{i-2} *\frac{i+2}{i+2}\\=\frac{2i(i+2)}{i^2-4}\\= \frac{2i(i+2)}{-1-4}\\ =\frac{2i(i+2)}{-5} \\ = \frac{-2 + 4i}{-5}\\ =( 2 - 4i )/ 5[/tex]

Answer:

[tex]\frac{2i}{i-2}=\frac{2-4i}{5}[/tex]

Step-by-step explanation:

[tex]\frac{2i}{i-2}[/tex] (Given)

[tex]=\frac{2i}{i-2}\times \frac{i+2}{i+2}[/tex] [Multiply numerator and denominator both by (i + 2)]

[tex]=\frac{2i(i+2)}{(i-2)(i+2)}[/tex]

[tex]=\frac{2i^2+4i)}{i^2-2^2}[/tex]

[tex]=\frac{2(-1)+4i)}{-1-4}[/tex]

[tex]=\frac{-2+4i)}{-5}[/tex]

[tex]=\frac{2-4i)}{5}[/tex]

[tex]\implies \frac{2i}{i-2}=\frac{2-4i}{5}[/tex]

Please help quickly!!

Answers

Answer:

Step-by-step explanation:

Which pair of expressions are equivalent using the Associative Property of Multiplication?

4(2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5
4(2a ⋅ 5) = 8a ⋅ 20
4(2a ⋅ 5) = (2a ⋅ 5) ⋅ 4
4(2a ⋅ 5) = 4 ⋅ 2a ⋅ 5

Answers

Answer:

4 (2a ⋅ 5) = (4 ⋅ 2a) ⋅ 5

Step-by-step explanation:

On a coordinate plane, an image has points (negative 2, 2), (0, 2), (2, 0), (0, negative 2), (negative 2, negative 2).
Use the image shown and a scale factor of 1/2 to find the pre-image. Which is the pre-image of A’?

Answers

If the scale factor is 1/2. Then the coordinate of the pre-image will be (-1, 1), (0, 1), (1, 0), (0, -1), and (-1, -1).

What is a transformation of geometry?

A spatial transformation is each mapping of feature shapes to itself, and it maintains some spatial correlation between figures.

Dilation does not change the shape, but changes the size of the geometry.

On a coordinate plane, an image has points (-2, 2), (0, 2), (2, 0), (0, -2), and (-2, -2).

The scale factor is 1/2. Then the coordinate of the pre-image will be

(-1, 1), (0, 1), (1, 0), (0, -1), and (-1, -1).

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Answer:D (-4) (-4)

Step-by-step explanation:

Suppose the measures of the interior angles of a convex quadrilateral are four consecutive odd numbers. Find the measure of the third angle.

Answers

Might be 90 degrees not 100% sure tho

Answer:

91 degrees

Step-by-step explanation:

Sum of angles in a quadrilateral: 360 degrees

87, 89, 91, 93 are four consecutive odd numbers that add up to 360

third angle is 91 degrees

Evaluate iint S sqrt 1+x^ 2 +y^ 2 dS where S is the helicoid: r(u, v) = u * cos (v) * i + u * sin (v) * j + vk with 0 <= u <= 1, 0 <= v <= 2pi

Answers

Given the parameterization

[tex]\vec r(u,v) = u\cos(v) \, \vec\imath + u\sin(v) \,\vec\jmath + v \,\vec k[/tex]

take the normal vector to be

[tex]\vec n = \dfrac{\partial\vec r}{\partial u} \times \dfrac{\partial \vec r}{\partial v} = \sin(v) \,\vec\imath - \cos(v) \,\vec\jmath - u \,\vec k[/tex]

(The order of partial derivatives in the cross product doesn't matter since this a scalar line integral.)

Compute the magnitude of the normal vector.

[tex]\|\vec n\| = \sqrt{\sin^2(v) + (-\cos(v))^2 + (-u)^2} = \sqrt{1+u^2}[/tex]

so that the area element reduces to

[tex]dS = \|\vec n\| \, du\,du = \sqrt{1+u^2}\,du\,du[/tex]

Evaluate the integrand at [tex]\vec r[/tex] to get

[tex]\sqrt{1 + (u\cos(v))^2 + (u\sin(v))^2} = \sqrt{1 + u^2}[/tex]

The surface integral reduces to

[tex]\displaystyle \iint_S \sqrt{1+x^2+y^2} \, dS = \int_0^{2\pi} \int_0^1 (1+u^2) \, du \, dv = 2\pi \int_0^1 (1+u^2) \, du = \boxed{\frac{8\pi}3}[/tex]

Anjali wrote a 30-item multiple choice exam and answered every question. She got 8 points for each correct item. She lost 2 points for each incorrect item. Her total score was 150 points. How many items did she answer correctly?

Answers

She did 21 question correctly.

Correct Answer :

Let number of correct answers : x

Let number of wrong answer : y

Given, Total question wrote : 30

So,

x + y = 30 (i) - equation

Got 8 point on each correct answer, total point : 8*x

Got -2 point on each wrong answer, total point : (-2)*y

Total point she score was : 150 (given)

so, our next equation is

8*x - 2*y = 150 (ii) - equation

y = 30 - x [from (i) - equation]

put in (ii) - equation, we get

8*x - 2*(30 - x) = 150

8*x - 60 + 2*x = 150

10*x = 210

x = 21

Therefor, only 21 answers are correct.

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What is the scale factor from ABC to DEF?
A. 2
B. 1/2
C. 3
D. 1/3

Answers

Answer:

The scale factor is 3 C)

as ABC = 3* DEF

AB = 5

DE = 15 = 5*3

AC = 3

DF = 9 = 3*3

BC = 4

EF = 12 = 4 * 3

The scale factor is 3. Why? Well, B and D can already be ruled out because when dilating a figure, an enlargement is displayed by a scale factor greater than one, not less than one. From here, each side length can simply be multiplied by three to get the enlargement size, and you will see that it aligns. AB (which is 5) x 3 = DE (which is 15). AC (which is 3) x 3 = DF (which is 9). BC (which is 4) x 3 = EF (which is 12).

Your final answer: C. If you need to better understand it, let me know and I will gladly assist you!

16x^2+?x+36 perfect square trinomial

Answers

Answer:

16x² +48x +36

Step-by-step explanation:

A perfect square trinomial is of the form ...

(a +b)² = a² +2ab +b²

We want to match this form.

comparing terms

Comparing the known terms, we see ...

16x² = a² ⇒ a = 4x

36 = b² ⇒ b = 6

filling in the missing term

The missing term is the linear term:

2ab = 2(4x)(6) = 48x

? = 48

According to American Airlines, flight 71098 from New York to Los Angeles is on time 88.9% of the time. Assume that we randomly select 150 flights, use the normal approximation to the binomial to do the following:

a) approximately the probability that exactly 124 flights are on time.

b) approximate the probability that between 113 and 130 flights ,inclusive, are on time.

Answers

Using the normal approximation to the binomial, it is found that the probabilities are given as follows:

a) 0.0055 = 0.55%.

b) 0.2296 = 22.96%.

Normal Probability Distribution

The z-score of a measure X of a normally distributed variable with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex] is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The z-score measures how many standard deviations the measure is above or below the mean. Looking at the z-score table, the p-value associated with this z-score is found, which is the percentile of X.The binomial distribution is the probability of x successes on n trials, with p probability of a success on each trial. It can be approximated to the normal distribution with [tex]\mu = np, \sigma = \sqrt{np(1-p)}[/tex].

The parameters of the binomial distribution are given as follows:

n = 150, p = 0.889.

Hence the mean and the standard deviation of the approximation are:

[tex]\mu = E(X) = np = 150 x 0.889 = 133.35[/tex].[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{150(0.889)(0.111)} = 3.8473[/tex]

Item a:

Using continuity correction, the probability is P(123.5 < X < 124.5), which is the p-value of Z when X = 124.5 subtracted by the p-value of Z when X = 123.5, hence:

X = 124.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{124.5 - 133.35}{3.8473}[/tex]

Z = -2.3

Z = -2.3 has a p-value of 0.0107.

X = 123.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{123.5 - 133.35}{3.8473}[/tex]

Z = -2.56

Z = -2.56 has a p-value of 0.0052.

Hence the probability is 0.0107 - 0.0052 = 0.0055 = 0.55%.

Item b:

The probability is P(112.5 < X < 130.5), which is the p-value of Z when X = 130.5 subtracted by the p-value of Z when X = 112.5, hence:

X = 130.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{130.5 - 133.35}{3.8473}[/tex]

Z = -0.74

Z = -0.74 has a p-value of 0.2296.

X = 112.5:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{112.5 - 133.35}{3.8473}[/tex]

Z = -5.42

Z = -5.42 has a p-value of 0.

Hence the probability is 0.2296 - 0 = 0.2296 = 22.96%.

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y = 5x+1150Use your functions to calculate the total cost for each fridge after 6 months.

New Fridge:

Answers

Answer:

[tex]x = \frac{y - 1150}{5} [/tex]

Step-by-step explanation:

[tex]y - 1150 = 5x \\ \frac{y - 1150}{5} = x \\ x = \frac{y - 1150}{5} [/tex]

Which graph represents the function f(x)=2·4^x?

Answers

Answer:

A (top left)

Step-by-step explanation:

Assuming that the dot is multiplying the numbers, we get the function:

[tex]f(x) = 8^{x}[/tex]

First, lets knock off the obviously wrong answers.

Substitute 0 into the x spot, as anything to the power of zero is one.

[tex]f(0) = 8^{0}=1[/tex]

Automatically, the two answers on the right are incorrect, as y is not equal to 1 when x is 0.

Next, lets substitute 1 into the x spot, as anything to the power of one is itself.

[tex]f(1) = 8^{1} = 8[/tex]

As a result, the top left graph is correct, as y is equal to 8 when x is 1, unlike the bottom left graph.

You invested $7,000 into a money market account for 10 years at an annual interest rate of 3%. How much is the accrued interest?

Answers

The total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

What is invested amount?

An investment is a payment made to acquire the securities of other firms with the intention of making a profit.

We are assuming the interest will be compounded annually

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

Where A = Final amount

P = Principal amount

r = annual rate of interest

n = how many times interest is compounded per year

t = How long the money is deposited or borrowed (in years)

We have:

P = $7000

r = 3% = 0.03

t = 10 years

n = 1

[tex]\rm A = 7000(1+\dfrac{0.03}{1})^{1\times10}[/tex]

After calculating:

A = $9407.41

I = A - P = 9407.41 - 7000 = $2,407.41

Thus, the total interest accrued is $2,407.41 if you invested $7,000 into a money market account for 10 years at an annual interest rate of 3%.

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24. Demography A city has a population of 71,500. Ten years ago the population
was 32,500. What percent of the population 10 years ago is the population now?
Use the proportion method.

Answers

Answer:

45.5%

Step-by-step explanation:

The increase in population was 45.5%

Pam ask you to help her with the catering for the funeral. you decide to use juice concentrate to serve as a refreshing drink. to create this delicious you must dilute the concentrate in the ratio 1:4 you must make 25litres of juice. what volume of concentrate is needed to make the juice

Answers

Answer:

6.25 litres

Step-by-step explanation:

ratio 1:4

25/4 = 6.25

4 * 6.25 = 25

1 * 6.25 = 6.25

= 6.25 litres of concentrate

Answer:

6.25 litres of juice concentrate

25) Which graph represents the equation below? ) = w+ 2 A ܠܐ 5 4 (2, 4) 3 2 1 (-2,0) -5 -4 -3 -2 -1 0 -1 x 1 2 3 4 5 -2 -3 -4 -5 8 y

Answers

The given line equation is y=-1/2x+2

We have given the graph of the line

We have to determine the equation of the line,

We have to points(0,2) and (4,0)

What is the formula for the slope?

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

m=0-2/4-0

m=-2/4

m=-1/2

What is the slope point form?

[tex](y-y_1)=m(x-x_1)[/tex]

[tex]y-0=-1/2(x-4)\\y=-1/2x+2[/tex]

Therefore the second option is correct

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Find BC.
plssss helpp!!!

Answers

Answer:

BC is 22.5 mi

Step-by-step explanation:

Using the pythagorean theorem formula. c² = a² + b²

BC² = AB² + AC²

BC² = 19² + 12²

BC² = 361 + 144

BC² = 505

√BC² = √505

BC = 22.5

Therefore BC is 22.5 mi

Which function is graphed below?

Answers

The graph of the function is y = arcsec(x).

What graph best represents the data

Answers

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. The correct option is A.

What is a graph?

A graph is a way to represent a lot of data in such a visual format that it is easy for the user to understand the complete information in one go. Usually, the line of the graph is a function that follows the graph.

A histogram is a statistical information presentation that employs rectangles to illustrate the frequency of data items in equal-sized numerical intervals. The independent variable is represented along the horizontal axis and the dependent variable is plotted along the vertical axis in the most frequent kind of histogram.

The best graph that can represent the given situation is Histogram. Hence, the correct option is A.

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This.is my question

Answers

The measure of 3/4 of revolution is 270°.Step-by-step explanation:

Since we have given that

Measure of revolution = 360°

Now, the measure of [tex]\frac{3}{4}[/tex] of revolution.

So, it becomes,

[tex]\frac{3}{4}[/tex]×360

= 3 × 90

= 270

Hence, the measure of 3/4 of revolution is 270°.

Hope this helped and have a good day

Which statement is true about the end behavior of the
graphed function?
As the x-values go to positive infinity, the function's
values go to negative infinity.
As the x-values go to zero, the function's values go
to positive infinity.
As the x-values go to negative infinity, the function's
values are equal to zero.
As the x-values go to positive infinity, the function's
values go tO positive infinity.

Answers

Answer:

As the x-values go to positive infinity, the function's

values go to negative infinity.

Step-by-step explanation:

upon viewing the graph you will notice that the function in blue will appear to go down (negative) as you follow the x to the right, in the positive direction.

Making your answer to be as the x goes to positive inf (right) the values of the function go to negative inf (down).

Dakota has four yardsticks and two 12-inch rulers.If she lays all four of the yardsticks and both rulers end-to-end,what is the maximum number of feet she can measure accurately at once? PLEASE EXPLAIN
E.12 ft
F.14ft
G.16 ft
H.!8ft

Answers

Answer:

[tex]\huge\boxed{\sf 14\ ft}[/tex]

Step-by-step explanation:

Yard sticks = 4

12-inch rulers = 2

All are placed end to end.

Converting yard and inch to feet:4 yardsticks into feets:

We know that,

1 yard = 3 feet

4 yards = 3 × 4 feet

4 yards = 12 feet

2 12-inch ruler into feet:

We know that:

1 inch = 0.083 feet

24 inch = 0.083 × 24 feet

24 inch = 2 feet

The maximum number of feet she can measure exactly:

= 4 yardsticks + 2 12-inch rules

= 12 ft + 2 ft

= 14 ft

[tex]\rule[225]{225}{2}[/tex]

How do I solve this problem? The green dots can be moved

Answers

Answer :

Points at (1, 3) and (3, 3) and (2, 1)

Explanation:

The original graph (dashed) is an absolute value function meaning f(x) = |x|

Given: y = 2f(x - 2) + 1

f(x - 2) means you plug in x - 2 for x in f(x) function

the new graph equation is: y = 2|x - 2| + 1

The graph will shift up 1 because +1The graph will shift right because -2The graph has a scale factor of 2The graph is V shaped because it is an absolute value graph

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Visual:

A parallelogram has an area of 160 square meters and a height of 4 meters. What is the length of the base of the parallelogram?

Answers

The length of the base is 40 meters

How to determine the length of the base?

We have:

Area= 160 square meters

Height = 4 meters

The area is calculated using:

Area = Base * Height

So, we have:

160 = Base * 4

Divide both sides by 4

Base = 40

Hence, the length of the base is 40 meters

Answers

The correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

The correct question is as given below:-

Need help ASAP. Choose the expression that represents a cubic expression.

a. 2x + 11

b . −3x² − 2x + 11

c . 4x³ − 3x² − 2x + 11

d . 5x⁴ + 4x³ − 3x² − 2x + 11

What is an expression?

Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

The polynomial having a degree of three is called the cubic polynomial which means that the maximum power of the polynomial will be three and the solutions will also be three.

Here in the option, we can see that the maximum power of the polynomial is three and it will have a maximum of three solutions.

The third-degree expression will be:-

E = 4x³ − 3x² − 2x + 11

Therefore the correct answer is Option c which is the cubic expression is 4x³ − 3x² − 2x + 11

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Another job is advertising leaflets printed on sheets of A4 paper (210 x 297 mm).

The sheets are then folded into thirds as shown.

What are the measurements in millimetres of each folded leaflet?

Answers

5%3×4+14-15 answers thes questions

I will give brainliest to whoever answers!

Answers

Answer:

C 34 cm

Step-by-step explanation:

Area = L x W

72 = 8 x W then W = 9

Perimeter = 2 ( L+W) = 2 ( 8+ 9) = 34 cm

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{Area of rectangle: A = wl; whereas \boxed{\textsf a} is \underline{area}, \boxed{\textsf w} is \underline{width}, \& \boxed{\textsf{l}} is}\\\large\text{\underline{length}.}[/tex]

[tex]\large\text{a = wl}\\\\\large\text{wl = a}\\\\\large\text{w(8) = 72}\\\\\large\text{8w = 72}\\\\\large\textsf{DIVIDE 8 to BOTH SIDES}\\\\\rm{\dfrac{8w}{8} = \dfrac{72}{8}}\\\\\large\text{SIMPLIFY IT!}\\\\\rm{w = \dfrac{72}{8}}\\\\\rm{w = 9}\\\\\\\huge\text{Therefore, your answer should be: \boxed{\mathsf{width = \bf 9}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Juan is learning about like terms in his math class. He must check all the combinations below that are like terms which ones should he check? 3x and x 1/4 and 0.5 -m and 8m -xy2 and 2xy2 y and y2 4xy and -5x2y m and n -7 and 6

Answers

Answer:

he should check

3x and x

1/4 and 0.5

-m and 8m

-xy2 and 2xy2

Step-by-step explanation:

Answer:

The answer is A B C D H

Step-by-step explanation:

a woman at a point a on the shore of a circular lake with radius 1.2 mi wants to arrive at the point B diametrically opposite A on the other side of the lake in the shortest possible time (see the figure). she can walk at the rate of 5 mi/h from C to B and row a boat at 3.5 mi/h from A to C . setting T (x) function to the time by interlaced AC, x is interlacted AC. how to move for shortest.

Answers

If she arrives by boat;

The distance she needs to row = Lake diameter

Distance = Lake diameter = 2 x Radius

Boat distance = 2 x 2 miles = 4 miles

So;

When moving on foot

The distance that needs to be moved D = Half of the circle circle

∴ D = π × Radius

The distance that needs to be moved D = π × 2 miles = 2π Miles

Arc length = Radius × θ

String length = radius x 2 x sin (θ / 2)

0 ≤ θ ≤ π, 0 ≤ sin (θ / 2) ≤ 1

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Write an equation of a line in slope-intercept form that passes through (-2, 1) with a slope of 5. Write an equation of a line in slope - intercept form that passes through ( -2 , 1 ) with a slope of 5 .

Answers

Answer:

y = 5x + 11

Step-by-step explanation:

We are given that a line passes through (-2, 1) and also it contains a slope of 5

We want to write the equation of this line in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the value of y at the y axis

As we are already given the slope, we can immediately substitute it into the formula

Replace m with 5 in y=mx+b:

y = 5x + b

Now we need to find b

As the equation passes through the point (-2, 1), we can use its values to help solve for b.

Substitute -2 as x and 1 as y:

1 = 5(-2) + b

Multiply

1 = -10 + b

Add 10 to both sides

11 = b

Substitute 11 as b in the equation

y = 5x + 11

Topic: finding the equation of the line

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