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Gnoma [55]
3 years ago
9

A triangle has side lengths of 4 inches, 5 inches, y + 1 inches. Another triangle has side lengths of 2 inches, x inches, 3 inch

es.
These two figures are the image and pre–image of a dilation.
Mathematics
2 answers:
garik1379 [7]3 years ago
7 0

Answer:

X= 2.5

Y= 5

Step-by-step explanation:

son4ous [18]3 years ago
3 0

Answer:

x = 2.5.

y = 5.

Step-by-step explanation:

As they are image and pre-image of a dilation they are similar triangles, so the corresponding sides are in the same ratio.

4/2 = 5/x

2 = 5/x

2x = 5

x = 2.5.

Also:

4/2 = (y + 1)/ 3

2 = (y + 1) / 3

y + 1 = 6

y = 5.

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At a grocery​ store, you want to buy 3 3/5 lb of . What decimal should the digital scale​ show?
nasty-shy [4]

Answer:

3.6 lb

Step-by-step explanation:

to find the decimal of a fraction, you simply divide the numerator by the denominator. 3 divided by 5 equals 0.6, which is added to the end of your whole number.

4 0
3 years ago
Trigonometry question! find the vaule of x. round to the nearest tenth!​
atroni [7]

Answer:

<h2>x = 88.2</h2>

Step-by-step explanation:

Look at the picture.

Use tangent:

tangent=\dfrac{opposite}{adjacent}

We have a measure of the angle and length of the adjacent:

\alpha=10^o,\ adjacent=500

\tan10^o\approx0.17633

Substitute:

\dfrac{x}{500}=0.17633             <em>multiply both sides by 500</em>

x=88.165\to x=88.2

8 0
2 years ago
Construct a 99​% confidence interval to estimate the population proportion with a sample proportion equal to 0.36 and a sample s
vivado [14]

Using the z-distribution, the 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

<h3>What is a confidence interval of proportions?</h3>

A confidence interval of proportions is given by:

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which:

  • \pi is the sample proportion.
  • z is the critical value.
  • n is the sample size.

In this problem, we have a 99% confidence level, hence\alpha = 0.99, z is the value of Z that has a p-value of \frac{1+0.99}{2} = 0.995, so the critical value is z = 2.575.

The estimate and the sample size are given by:

\pi = 0.36, n = 100.

Then the bounds of the interval are:

  • \pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 - 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.2364
  • \pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.36 + 2.575\sqrt{\frac{0.36(0.64)}{100}} = 0.4836

The 99​% confidence interval to estimate the population proportion is: (0.2364, 0.4836).

More can be learned about the z-distribution at brainly.com/question/25890103

#SPJ1

8 0
2 years ago
A square pyramid is shown below: What is the surface area of the pyramid?
Reptile [31]
Well first you would find the area of the square on the bottom
Which would be:
            0.7*0.7= .49
Then we would find the area of one of the triangles on the side:
           8*0.7= 5.6* 1/2= 2.8
Next, you will multiply the 2.8 by 4, because there are 4 triangles:
          2.8*4=11.2
Finally add the 11.2 to the area of the square, and you'll have your answer.
          .49+11.2= 11.69
So, B is your answer

8 0
3 years ago
F(x) = 3x-7 and g(x) = -2x-6. Find (f o g)(4)
USPshnik [31]
<span>(f o g)(4) = f(g(4))
so
g(4) = </span><span>-2(4) -6 = -14
</span>f(g(4)) = <span>3(-14) -7 = -49

answer
</span><span> (f o g)(4) = -49</span>
4 0
3 years ago
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