Answer:
Step-by-step explanation:
If we let M be a number, then 5 times as big as M would be 5M. Not that hard :/
Rewrite the expression using a single, positive exponent: 14^-3·14^12
Answer:
It's 14⁹.
Add the powers in the process of multiplying.
Which is -3 + 12 answer is 9.
Hope this helped!
Ryan went shopping and purchased two shirts for $16 each, and a pair of sneakers that cost 2 1/2 times as much as a shirt. How much money did Ryan spend?
Answer:
Ryan spent $72 on his shopping trip.
Step-by-step explanation:
To find out how much money Ryan spent, we need to add up the cost of the shirts and the sneakers.
First, we know that Ryan purchased two shirts for $16 each. So we can find the total cost of the shirts by multiplying the cost per shirt by the number of shirts:
$16 per shirt x 2 shirts = $32So the total cost of the shirts is $32.
Next, we know that Ryan purchased a pair of sneakers that cost 2 1/2 times as much as a shirt. We can use this information to find the cost of the sneakers.
If the cost of a shirt is $16, then we can find the cost of the sneakers by multiplying $16 by 2 1/2:
$16 x 2 1/2 = $16 x 2.5 = $40So the cost of the sneakers is $40.
Finally, we can find the total cost of Ryan's shopping trip by adding up the cost of the shirts and the sneakers:
$32 + $40 = $72Therefore, Ryan spent $72 on his shopping trip.
A t test for a mean uses a sample of 24 observations. Find the t test statistic value that has a P-value of 0. 10 when the alternative hypothesis is (a) Ha Subscript a Ha: μ ≠0, (b) Ha: μ greater than >0, (c) Ha: mu μ<0. Find the t test statistic value when Ha: μ≠0
The t-test statistic value that has a P-value of 0.10 when the alternative hypothesis is
(a) Ha: μ ≠ 0 is ±1.711.
(b) Ha: μ > 0 is 1.319.
(c) Ha: μ < 0 is -1.319.
(d) Ha: μ ≠ 0 is ±1.711.
To find the t-test statistic value for a given P-value and alternative hypothesis, we need to use a t-distribution table or a statistical software program. Here, we will use a t-distribution table to find the t-test statistic value for a sample of 24 observations and a P-value of 0.10 for each alternative hypothesis.
(a) Ha: μ ≠ 0 (two-tailed test)
The critical t-value for a two-tailed test with a P-value of 0.10 and degrees of freedom (df) of 23 (sample size - 1) is:
t = ±1.711
Therefore, the t-test statistic value that has a P-value of 0.10 when the alternative hypothesis is Ha: μ ≠ 0 is ±1.711.
(b) Ha: μ > 0 (one-tailed test)
The critical t-value for a one-tailed test with a P-value of 0.10 and df of 23 is:
t = 1.319
Therefore, the t-test statistic value that has a P-value of 0.10 when the alternative hypothesis is Ha: μ > 0 is 1.319.
(c) Ha: μ < 0 (one-tailed test)
The critical t-value for a one-tailed test with a P-value of 0.10 and df of 23 is:
t = -1.319
Therefore, the t-test statistic value that has a P-value of 0.10 when the alternative hypothesis is Ha: μ < 0 is -1.319.
(d) Ha: μ ≠ 0 (two-tailed test)
To find the t-test statistic value when Ha: μ ≠ 0, we can use the inverse t-distribution function in a statistical software program or a calculator. The t-test statistic value that corresponds to a P-value of 0.10 with 23 degrees of freedom is:
t = ±1.711
Therefore, the t-test statistic value that has a P-value of 0.10 when the alternative hypothesis is Ha: μ ≠ 0 is ±1.711.
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Find angle C
SinC/4=sin104/8
Answer:
C = 52
Step-by-step explanation:
sin(c/4) = sin(104/8)
sin(c/4) = 0.22495
c/4 = 13
c = 52
A bead is formed by drilling a cylindrical hole, with a 2 mm diameter, through a sphere
with an 8 mm diameter. estimate the surface area of the bead. leave the answer in
terms of pi
The estimated surface area of the bead is 52π square millimeters.
To estimate the face area of the blob, we need to find the face area of the sphere and abate the face area of the spherical hole. The face area of a sphere is given by the formula A = 4πr2 where r is the compass of the sphere.
The radius of the sphere is: r = 8 mm / 2 = 4 mm.
The surface area of the sphere is: S_sphere = 4π[tex]r^{2}[/tex] = [tex]4π(4 mm)^{2}[/tex] =64 [tex]mm^{2}[/tex]
The radius of the cylinder is: r = 2 mm / 2 = 1 mm.
The height of the cylinder is: h = 8 mm - 2 mm = 6 mm.
The surface area of the cylinder is: S_cylinder = 2πrh = 2π(1 mm)(6 mm) = 12π [tex]mm^{2}[/tex]
The estimated surface area of the bead is: S_bead = S_sphere - S_cylinder = 64π [tex]mm^{2}[/tex] - 12π [tex]mm^{2}[/tex] = 52π [tex]mm^{2}[/tex]
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Mabel saved up her money and bought a model train. Each of the 8 cars on the train was the same length. When Mabel put all the cars together, the train was 3 feet long. How long was each car?
Each car on Mabel's train is a little less than half a foot long i.e., 3/8 feet long, or 0.375 feet long. This is solved by using simple mathematical operations.
To find the length of each car on Mabel's train, we can use the formula:
Total length of train = length of one car × number of cars
We are given that Mabel's train has 8 cars and is 3 feet long, so we can substitute those values into the formula and solve for the length of one car:
3 = x × 8
where x is the length of one car.
To solve for x, we can divide both sides by 8:
3/8 = x
Therefore, each car on Mabel's train is 3/8 feet long, or 0.375 feet long.
In other words, each car is a little less than half a foot long.
To help visualize this, imagine dividing the 3-foot length of the train into 8 equal parts. Each part would be 3/8 feet long, which is the length of one car. So when Mabel puts all 8 cars together, they form a train that is 3 feet long.
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Find the permineter of the square. leave answers in simplified radical form and label with correct units.
To find the perimeter of a square, you simply add up the lengths of all four sides. If we let "s" be the length of one side of the square, then the perimeter P can be found using the formula:
P = 4s
Since all four sides of a square are equal, we can simplify this expression to:
P = s + s + s + s = 4s
Therefore, the perimeter of the square is equal to 4 times the length of one side. If the length of one side is given in simplified radical form (such as √2 or √3), then the perimeter should also be expressed in simplified radical form.
For example, if the length of one side is 2√2 units, then the perimeter would be:
P = 4s = 4(2√2) = 8√2 units
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Mr. ream mixes 12 cups of paint in a large bowl. he used the paint to fill 40 small dishes with 2 fluid ounces of paint each. how many cups of paint does mr. ream have left in the bowl
Mr. Ream has 7 cups of paint left in the bowl.
There are 12 cups of paint, which is equivalent to 192 fluid ounces of paint (1 cup = 16 fluid ounces). Mr. Ream filled 40 small dishes with 2 fluid ounces of paint each, for a total of 80 fluid ounces of paint used (40 x 2 = 80).
Therefore, Mr. Ream has 192 - 80 = 112 fluid ounces of paint left in the bowl.
To convert this to cups, we divide by 16 (1 cup = 16 fluid ounces):
112/16 = 7 cups
Therefore, Mr. Ream has 7 cups of paint left in the bowl.
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Calculate the costs of these home improvement and maintenance costs.
Annual real estate taxes on a property are $2046. Insurance premiums total $1236. Required flood insurance protection premiums are $380 annually. The county assesses an annual special assessment landfill fee of $125. Trash collection costs $65 quarterly. Annual homeowner's association is $720 for common area maintenance of the subdivision. The pool company charges $45 quarterly to maintain the pool. Ongoing termite and pest protection costs $39 monthly. How much should a buyer save each month to cover these fees?
Answer: To calculate the total amount a buyer should save each month to cover these fees, we need to add up all the costs and divide by 12 (the number of months in a year).
Annual real estate taxes = $2046
Insurance premiums = $1236
Flood insurance premiums = $380
Annual special assessment landfill fee = $125
Quarterly trash collection costs = $65 x 4 = $260
Annual homeowner's association fee = $720
Quarterly pool maintenance costs = $45 x 4 = $180
Monthly termite and pest protection costs = $39 x 12 = $468
Total annual costs = $2046 + $1236 + $380 + $125 + $260 + $720 + $180 + $468 = $5405
Total monthly costs = $5405 / 12 = $450.42
Therefore, a buyer should save $450.42 each month to cover these fees.
Step-by-step explanation:
please answer the question attached brainliest to however answers first.
Step-by-step explanation:
number 2
number 3
number 6
number 7
which equations have the same solution
0.3=x-5/13
1.2=x-0.8/4
0.4=x-1.2/8
0.9=x-0.1/5
) On January 2, 2019, Helmkamp Company purchased a $30,000 machine. It had an estimated useful life of 5 years and a residual value of $3,000. What is the amount of depreciation expense for 2020, the second year of the asset's life, using the double declining-balance method? (Round intermediary calculations to two decimal places and your final answer to the nearest dollar. )
The required answer is the double declining-balance method is $9,840.
To calculate the depreciation expense for 2020 using the double declining-balance method, we first need to determine the asset's straight-line depreciation rate. This is calculated by subtracting the residual value from the cost of the asset and dividing by the asset's useful life:
Depreciation base = $30,000 - $3,000 = $27,000
Annual depreciation expense (straight-line) = Depreciation base / Useful life = $27,000 / 5 = $5,400
Next, we need to determine the double declining-balance rate, which is twice the straight-line rate. Therefore:
Double declining-balance rate = 2 x (1 / Useful life) = 2 x (1 / 5) = 0.40 or 40%
Now we can calculate the depreciation expense for 2020:
Depreciation expense (2020) = Book value (beginning of year) x Double declining-balance rate
The book value at the beginning of 2020 would be the cost of the asset minus accumulated depreciation for the first year:
Book value (beginning of 2020) = $30,000 - ($5,400 x 1) = $24,600
As a result, depreciation increases during the initial year of possession and decreases thereafter.
Therefore:
Depreciation expense (2020) = $24,600 x 0.40 = $9,840
So the amount of depreciation expense for 2020, the second year of the asset's life,
using the double declining-balance method is $9,840.
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the scale is 1 inch=50 miles. 5 inches is what
Answer:
Step-by-step explanation:
you multiply 5 by 50 and that would equal 250
5 x 50 = 250
In 2015, Connecticut had a population of about 3,600,000 million, New York had a population of about
1. 947
×
1
0
7
1. 947×10
7
, and Rhode Island had a population of about
1. 056
×
1
0
6
1. 056×10
6
. What is the total population of all three states combined? Write the total population in scientific notation
The total population of all three states combined is 24,126,000 or 2.4126 × 10⁷ in scientific notation.
To find the total population of all three states combined, we simply need to add up the population of each state. In this case, we are given the populations of Connecticut, New York, and Rhode Island, so we can simply add those numbers together to get the total population.
When working with numbers that are very large or very small, scientific notation can be a helpful way to express them. In scientific notation, a number is expressed as a coefficient multiplied by a power of 10. The coefficient is a number greater than or equal to 1 and less than 10, and the power of 10 indicates how many places the decimal point has been moved to create the coefficient.
In this problem, we are given the populations of the three states in scientific notation. Connecticut's population is given as 3.6 × 10⁶, which means that the coefficient is 3.6 and the power of 10 is 6. To convert this number to standard notation, we simply move the decimal point 6 places to the right to get 3,600,000. Similarly, New York's population is given as 1.947 × 10⁷, which means that the coefficient is 1.947 and the power of 10 is 7, and Rhode Island's population is given as 1.056 × 10⁶, which means that the coefficient is 1.056 and the power of 10 is 6.
To find the total population, we add the populations of the three states together:
Total population = Connecticut population + New York population + Rhode Island population
Total population = 3.6 × 10⁶ + 1.947 × 10⁷ + 1.056 × 10⁶
Total population = (3.6 + 19.47 + 1.056) × 10⁶
Total population = 24.126 × 10⁶
We can simplify this expression by multiplying the coefficient by 10⁶:
Total population = 24.126 × 10⁶ = 2.4126 × 10⁷
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6.7 times 10 to the power of 8 order of operations with scientific notation
6.7 times 10 to the power of 8 in scientific notation is [tex]6.7\times 10^8.[/tex]
To solve this problemWe must adhere to the norms of the acronym PEMDAS, which stands for Parentheses, Exponents, Multiplication and Division and Addition and Subtraction, in that sequence to conduct the order of operations with scientific notation for 6.7 × 108.
Write the number 6.7.
Multiply it by 10 raised to the power of 8. This means you move the decimal point 8 places to the right.
[tex]6.7\times 10^8[/tex]
The final answer is 670,000,000 in standard form or [tex]6.7\times 10^8[/tex] in scientific notation.
Therefore, 6.7 times 10 to the power of 8 in scientific notation is [tex]6.7\times 10^8.[/tex]
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The probability that Oscar gets heads and an even number is. The probability that Oscar gets tails and a prime number less than 4 is.
The probability of getting heads and an even number is 1/4, and the probability of getting tails and a prime number less than 4 is 1/6.
How to calculate coin toss probabilities?To solve this, we need to use the multiplication rule of probability, which states that the probability of two independent events occurring together is the product of their individual probabilities.
Let's first find the probability of getting heads and an even number. Since there are two equally likely outcomes when flipping a coin (heads or tails), and three equally likely outcomes when rolling a die (1, 2, 3, 4, 5, or 6), the probability of getting heads and an even number is:
P(heads and even) = P(heads) x P(even)
= 1/2 x 3/6
= 1/4
Next, let's find the probability of getting tails and a prime number less than 4. The prime numbers less than 4 are 2 and 3. So, the probability of getting tails and a prime number less than 4 is:
P(tails and prime) = P(tails) x P(prime)
= 1/2 x 2/6
= 1/6
Therefore, the probability that Oscar gets heads and an even number is 1/4, and the probability that Oscar gets tails and a prime number less than 4 is 1/6.
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only answer if you know! NO SPAM PLEASE. Must show all calculations and answer both questions!! Please make sure you double check your answer! Will mark brainliest!
Answer:
5. 0
6. a: π/3; b: 45π/2 m ≈ 70.69 m; c: 30/π min ≈ 9.549 min; d: π/900 rad/s; e: 0.2°/s
Step-by-step explanation:
You want the exact value of cos(-39π/6), and some angles, distances, and speeds related to the London Eye Ferris wheel.
5. Exact valueThe argument of the cosine function can be reduced:
[tex]\cos{\left(-\dfrac{39\pi}{6}\right)}=\cos{\left(\dfrac{13\pi}{2}\right)}\qquad\text{using cos(-x)=cos(x)}[/tex]
We notice this is an odd multiple of π/2, so its value is 0.
cos(-39π/6) = 0
6. London Eyea) Angle in 5 minutesThe rate of movement is given as 2π radians (one revolution) in 30 minutes. Then the angle in 5 minutes is ...
(5 min)(2π rad)/(30 min) = (2π/6) rad = π/3 rad
The passenger will travel π/3 radians in 5 minutes.
b) Distance in 5 minutesThe arc length is given by ...
s = rθ . . . . . . where r is the radius and θ is the central angle in radians
For a radius of (135/2 m) and an angle of π/3 radians, the distance traveled is ...
s = (135/2 m)(π/3) = 45π/2 m ≈ 70.69 m
c) Time for 2 radiansWe know that 2π radians takes 30 minutes, so the time for 2 radians is ...
t = (2 rad)·(30 min)/(2π rad)
t = 30/π min ≈ 9.549 min . . . . about 9:32.96 min
d) Radians per secondThe angular velocity is ...
(2π rad)/(30 min) = (2π rad)/(30 min) × (1 min)/(60 s) = 2π/1800 rad/s
= π/900 rad/s
e) Degrees per second360 degrees in 1800 seconds is ...
360°/(1800 s) = (1/5)°/s
The wheel turns at the rate of 1/5 degree per second.
__
Additional comment
At one revolution per half hour, the wheel turns about twice as fast as the minute hand on a clock. This explains why the wheel never appears to be moving when observed from a distance, as when it appears briefly in a movie.
You work for a contractor a customer wants you to install chicken wire along the perimeter of a rectangular garden that measures 8 feet by 6 feet what is the perimeter of a what is the perimeter in feet of the garden
The perimeter of the 8 feet by 6 feet rectangular garden is 28 feet.
We will need to install chicken wire along this entire length to satisfy the customer's requirements. Good luck with your project!
To find the perimeter of a rectangular garden, you can use the formula:
Perimeter = 2(Length + Width). In this case, the garden measures 8 feet by 6 feet,
so the length is 8 feet and the width is 6 feet.
Add the length and width.
8 feet + 6 feet = 14 feet
Multiply the sum by 2.
2(14 feet) = 28 feet.
The perimeter of the rectangular garden is 28 feet.
As a contractor, you will need to install chicken wire along this entire 28 feet of the garden's perimeter to meet the customer's request.
Remember to choose the appropriate type of chicken wire, considering factors such as durability, mesh size, and material (e.g., galvanized steel or plastic).
Additionally, we may need to install supporting posts at regular intervals to ensure the stability and effectiveness of the chicken wire fence.
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HELP MARKING BRAINLEIST IF RIGHT ASAP
Answer:
{51
Step-by-step explanation:
10^2 - 7^2= 51
You can’t square 51 because no two same whole numbers multiplied creates 51
B= 51
Check answer
7^2 + 51= 100
{100 = 10^2
Lana plotted 3 vertices of a square on a coordinate plane. Which are the coordinates of the missing vertex of Lana's square?
These values (x4, y4) represent the coordinates of the missing vertex of Lana's square.
Find out the coordinates of the missing vertex?To determine the missing vertex of Lana's square, we need to know the location of the three given vertices. Let's assume that Lana plotted the vertices in a clockwise direction, starting from the top left.
If we denote the coordinates of the first vertex as (x1, y1), the second vertex as (x2, y2), and the third vertex as (x3, y3), then the coordinates of the missing vertex can be found as follows:
1. Calculate the distance between the first and second vertices:
d1 = sqrt((x2 - x1)^2 + (y2 - y1)^2)
2. Calculate the distance between the second and third vertices:
d2 = sqrt((x3 - x2)^2 + (y3 - y2)^2)
If the square is regular (i.e., all sides are of equal length), then d1 = d2. Otherwise, the shape is not a square.
3. Calculate the midpoint between the first and second vertices:
xm = (x1 + x2) / 2
ym = (y1 + y2) / 2
4. Calculate the vector that goes from the midpoint to the third vertex:
vx = x3 - xm
vy = y3 - ym
5. Calculate the coordinates of the missing vertex by adding the vector to the midpoint:
x4 = xm + vx
y4 = ym + vy
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A bag contains 5 red marbles, 6 blue marbles and 3 green marbles. If three marbles are drawn out of the bag, what is the exact probability that all three marbles drawn will be red?
Step-by-step explanation:
5 + 6 + 3 = 14 marbles 5 are red
1st marble red = 5 out of 14 = 5/14
now there are 13 marbles 4 are red
2nd marble red 4/13
and finally , 3rd marble red = 3/12
5/14 * 4/13 * 3/12 = 5/182 chance for three reds
Tres amigos compran un pan Francés. Antoni comió 7/9 y Miguel
Eduardo comió 5/9. ¿Qué parte del pan Francés quedó para Fabian?
Answer:
Si Antoni comió 7/9 del pan francés y Miguel Eduardo comió 5/9, entonces la cantidad total de pan que comieron juntos es 7/9 + 5/9 = 12/9.
Esto significa que los tres amigos comieron 12/9 del pan, lo cual es equivalente a 4/3 del pan francés.
Para encontrar la cantidad de pan que quedó para Fabian, podemos restar 4/3 del pan francés de la cantidad total del pan francés, que es 1. Entonces:
1 - 4/3 = 3/3 - 4/3 = (3 - 4)/3 = -1/3
Esto significa que Antoni y Miguel Eduardo comieron más del pan francés de lo que había disponible, lo que no es posible. Por lo tanto, no hay una cantidad del pan francés que quedó para Fabian.
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I need questions 3,4,5 with answers and explanations/work
The family with 8 pets cannot be used to represent the whole because it is an outlier
Bar chartCircle graphExplaining why the family with 8 pets cannot be used to represent the wholeGiven that we have
A dot plot that represents the display
On the dot plot, we have
Outlier = 8
This data value is considered an outlier because it is relatively far from other values
As a general rule, outliers cannot be used to represent the whole
The display that could be used to show trendHere, we have
Dot plotBar chartCircle graphOf the three displays, the bar chart is used to represent data such that users may readily recognize patterns or trends.
So, the bar chart is to be used
The display that could be used not to show trendHere, we have
Dot plotBar chartCircle graphOf the three displays, the circle graph does not show that users patterns or trends.
So, the circle graph is to be used
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[ ( -28 )-( +42)]-(+3) CUAL ES EL RESULTADO
ME DICEN
POR FIS AYUDA
ES PARA HOY
First, solve the expression inside the parentheses: (-28) - (+42) = -70
Next, subtract 3 from -70: -70 - (+3) = -73
What is the result of: [(-28) - (+42)] - (+3)?The given expression can be simplified as follows:
[( -28 )-( +42)]-(+3) = -28 - 42 - 3 = -73
So, the answer to the given expression is -73.
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Find the seventh, twenty fifth and seventy ninth percentile from the following data: 15, 19, 26, 25, 11, 21, 22, 34, 41, 43, 45, 55, 58, 60, 50, 22, 19, 34, 62, 48, 49, 13
Answer:
Step-by-step explanation:
The data set in order is: 11, 13, 15, 19, 19, 21, 22, 22, 25, 26, 34, 34, 41, 43, 45, 48, 49, 50, 55, 58, 60, 62.
The seventh percentile is 15.
The twenty fifth percentile is 22.
The seventy ninth percentile is 58.
You are planning on buying yourself a car when you graduate college with cash, you have saved $15,000 so far. The car you will buy is valued at $26,795. You are offered a couple of options in terms of investing the $15,000 you currently have. Explore the options and determine which one will get you $26,795 the fastest. Bank 'A' provides a 5. 45% interest rate, compounding continuously, how long will it take you, in years, if you invest $15,000 to make enough to buy the car? (round your answer to the nearest tenth) Bank "B" provides a 5. 75% interest rate, compounding monthly, how long will it take you, in years, if you invest $15,000 to make enough to buy the car? (round your answer to the nearest tenth) *
The option of bank B investment will allow to reach goal of buying the car the fastest compare to bank A it will take approximately 8.4 years
Saved amount = $15,000
Value of the car = $26,795
Use the formula for compound interest to calculate the time it will take to reach $26,795 for each bank,
Bank A,
Initial investment ' P ' = $15,000
Annual interest rate ' r ' =5.45%
= 0.0545
compounded continuously 'n' = infinity
Target amount 'A' = $26,795
The formula for continuous compounding is,
A = P[tex]e^{rt}[/tex]
Substituting the values, we get,
⇒ 26,795 = 15,000 × [tex]e^{(0.0545t)}[/tex]
Solving for t, we get,
⇒ t = (log(26,795/15,000))/(0.0545)
≈ 9.4 years
It will take approximately 9.4 years to reach the target amount if we invest in Bank A.
Bank B,
Initial investment ' P ' = $15,000
Annual interest rate ' r ' =5.75%/12
= 0.00479 (monthly interest rate)
n = 12 compounded monthly
Target amount 'A' = $26,795
The formula for monthly compounding is,
A = [tex]P\times( 1+ r/n)^{nt}[/tex]
Substituting the values, we get,
26,795 = [tex]15,000 \times(1+0.00479/12)^{12t}[/tex]
Solving for t, we get,
t = (1/12) × (log(26,795/15,000))/(log(1+0.00479/12))
≈ 8.4 years
It will take approximately 8.4 years to reach the target amount if we invest in Bank B.
Therefore, investment in Bank B will allow you to reach your goal of buying the car the fastest, taking approximately 8.4 years.
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Assume there are 0. 9 U. S. Dollars in a Canadian dollar. If gasoline costs 1. 50 Canadian dollars per liter, how many U. S. Dollars does it cost to buy a gallon of gas in Canada? (1 gallon = 3. 8 liters)
a. $3. 28
b. $5. 13
c. $2. 95
d. $5. 68
5.13 U. S. Dollars will it cost to buy a gallon of gas in Canada. The correct answer to the question is A
Given in the question,
Cost of 1 liter gasoline = 1.50 Canadian dollars
1 gallon = 3.8 liters
Thus, to calculate the price of 1 gallon we multiply the cost of 1 liter by 3.8
Cost of 3.8 liters of gasoline = 1.5 * 3.8
= 5.70 Canadian dollars
1 Canadian dollar = 0.9 U. S. dollars
5.70 Canadian dollars = 5.70 * 0.9
= 5.13 U. S. dollars
That is the cost of 1 gallon of gas in Canada is 5 U S dollars and 13 cents.
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Hello, please help me answer this geometry problem asap. Question shown in image below. Thanks :)
Answer:
[tex] \: \frac{11}{1620} \: \pi^{2} [/tex]
Step-by-step explanation:
I think this is it. But if you find a mistake somewhere let me know? I'm confused because the answer seems a little weird. Like 11/1620 pi² really?
Also at the bottom I wrote "area of sector =" but the area got cut off
Find the measure of angle D.
The measure of angle D is 25°
What is exterior angle theorem?Exterior angle theorem states that the measure of an exterior angle of a triangle is greater than either of the measures of the opposite interior angles.
Angle D and angle C are the two opposite angles.
Therefore;
40+9x-2 = 20x +5
38+9x = 20x +5
38-5 = 20-9x
11x = 33
divide both sides by 11
x = 33/11
x = 3
Therefore since angle D = 9x-2
substitute 3 for x
D = 9(3) - 2
D = 27 -2
D = 25°
Therefore the measure of angle D is 25°
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Anna ate 58of an orange and gave the other 38 to her brother. which equation can be used to find the difference between the amount anna ate and the amount she gave her brother?
The result of this equation will give us the numerical value representing the difference between the amounts Anna ate and the amount she gave to her brother. In this case, the difference would be 20.
To find the difference between the amount of orange Anna ate and the amount she gave to her brother, we can use the equation: 58 - 38 = x
Here, x represents the difference between the two amounts. We can solve for x by subtracting 38 from 58.
58 - 38 = 20
Therefore, the difference between the amount of orange Anna ate and the amount she gave her brother is 20. Anna ate 58 of an orange and gave 38 to her brother, so the remaining 20 must be the difference between the two amounts.
In summary, the equation that can be used to find the difference between the amount Anna ate and the amount she gave her brother is 58 - 38 = x, where x represents the difference. The answer is 20.
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