All categories

2 years ago

Two of the angles in a triangle measure 72° and 63°. What is the measure of the third angle?

Mathematics

1 answer:

Colt1911 [192]2 years ago

6 0

Answer:

45 degrees

Step-by-step explanation:

Since all three angles would equal 180 degrees you would do 72 + 63 = 135. Then 180 - 135 = 45

hope this helps! plz mark brainliest? :)

You might be interested in

F(1)=6;f(n)=f(n−1)−2

ch4aika [34]

Answer: f(7) = f(4) + 3(3) = 15 + 9 = 24

Step by Step Explanation:

f(1) = 6

f(n) = f(n-1) + 3

f(2) = f(1) + 3 = 6+3 = 9

f(3) = f(2) + 3 = 12

f(4) = f(3) + 3 = 15

Each term is 3 more than the previous one

Therefore to get from the 4th term to the 7th term you will add 3

For a total of 3 more times.

f(7) = f(4) + 3(3) = 15 + 9 = 24

Hope this helps

5 0

3 years ago

What is the area of a sector with a central angle of 2pi/9 radians and a diameter of 20.6mm? Use 3.14 for Ali and round your ans

LuckyWell [14K]

- The area of the circle is:

A=πr²

A is the area of the circle.
π=3.14
r is the radius of the circle.

- To calculate the area of <span> the sector indicated in the problem, you must apply the following formula:

As=(</span>θ/2π)πr²

As is the area of the sector.
θ is the central angle (θ=2π/9)
π=3.14
r is the radius.

- First, you must find the radius:

r=Diameter/2
r=20.6 mm/2
r=10.3 mm

- Now, you can substitute the values into the formula As=(θ/2π)πr². Then, you have:

As=(θ/2π)πr²
As=(2π/9/2π)(π)(10.3)²
As=(π/9π)(π)(10.3)²
As=(3.14/9x3.14)(3.14)(10.3)²

- Finally, the area of the sector is:

As= 37.01 mm²

6 0

3 years ago

Read 2 more answers

Ben is 12 years older than Ishaan. Ben and Ishaan first met two years ago. Three years ago, Ben was 4 times as old as Ishaan. Ho

Len [333]

Answer:

I think that Ishaan is 6

Step-by-step explanation:

I am very sorry if it is wrong

4 0

3 years ago

<img src="https://tex.z-dn.net/?f=%3Cbr%3E%0Ay%3D%20x%5E%7B2%7D%20-9" id="TexFormula1" title="&#10;y= x^{2} -9" alt="&#1

svp [43]

Simple...

y= $x^{2} -9$

$y= x^{2} -9$

It's quite easy to see $x^{2} = x^{2}$

Thus, any value of x makes the equation true.

Thus, your answer.

7 0

2 years ago

The 2008 Workplace Productivity Survey, commissioned by LexisNexis and prepared by WorldOne Research, included the question, "Ho

vitfil [10]

Answer:

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

Step-by-step explanation:

Let X be the number of hours a legal professional works on a typical workday. Imagine that X is normally distributed with a known standard deviation of 12.6.

The population standard deviation is

$\sigma = 12.6 \: hours$

A sample of 250 legal professionals was surveyed, and the sample's mean response was 9 hours.

The sample size is

$n = 250$

The sample mean is

$\bar{x} = 9 \: hours$

Since the sample size is quite large then according to the central limit theorem, the sample mean is approximately normally distributed.

The population mean would be the same as the sample mean that is

$\mu = \bar{x} = 9 \: hours$

The sample standard deviation would be

$s = {\frac{\sigma}{\sqrt{n} }$

Where is the population standard deviation and n is the sample size.

$s = {\frac{12.6}{\sqrt{250} }$

$s = 0.7969 \: hours$

Therefore, the sampling distribution of $\bar{x}$ is normal with a mean equal to 9 hours and a standard deviation of 0.7969 hours.

The population mean confidence interval is given by

$\text {confidence interval} = \mu \pm MoE\\\\$

Where the margin of error is given by

$$ MoE = t_{\alpha/2}(\frac{s}{\sqrt{n} } ) $ \\\\$

Where n is the sampling size, s is the sample standard deviation and is the t-score corresponding to a 95% confidence level.

The t-score corresponding to a 95% confidence level is

Significance level = α = 1 - 0.95 = 0.05/2 = 0.025

Degree of freedom = n - 1 = 250 - 1 = 249

From the t-table at α = 0.025 and DoF = 249

t-score = 1.9695

$MoE = t_{\alpha/2}(\frac{\sigma}{\sqrt{n} } ) \\\\MoE = 1.9695\cdot \frac{12.6}{\sqrt{250} } \\\\MoE = 1.9695\cdot 0.7969\\\\MoE = 1.569\\\\$

So the required 95% confidence interval is

$\text {confidence interval} = \mu \pm MoE\\\\\text {confidence interval} = 9 \pm 1.569\\\\\text {LCI } = 9 - 1.569 = 7.431\\\\\text {UCI } = 9 + 1.569 = 10.569$

The 95% interval estimate of the population mean $\mu$ is

LCL = 7.431 hours to UCL = 10.569 hours

8 0

3 years ago