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Margaret [11]
3 years ago
12

Find the perimeter of ABHG

Mathematics
1 answer:
nadezda [96]3 years ago
6 0

Answer:

  • 124 in

Step-by-step explanation:

Use ratios to find x and y, then find AB and GH, them sum up the lengths.

<u>Find x:</u>

  • 12/15 = x/10
  • x = 12*10/15
  • x = 8 in

<u>Find y:</u>

  • 12/15 = 16/y
  • y = 15*16/12
  • y = 20 in

<u>Find AB:</u>

  • y - 14 = 20 - 14 = 6 in

<u>Find GH:</u>

  • 5x - 3 = 5*8 - 3 = 37 in

<u>Find the perimeter:</u>

  • P = 6 + 15 + 20 + 10 + 37 + 8 + 16 + 12 = 124 in
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The radius of a circle is 3 yards. What is the circle's area?
Yakvenalex [24]

Answer:

28.26 Yards

Step-by-step explanation:

Step One: Square Radius

r = 3

3² = 9

Step Two: Multiply 9 by π

π = 3.14

9 · 3.14

= 28.26

4 0
2 years ago
Factor completely 81x2 − 100. (1 point) (10x − 9)(10x − 9) (10x − 9)(10x + 9) (9x − 10)(9x + 10) (9x − 10)(9x − 10)
MArishka [77]

The complete factorization of the equation 81x² - 100 is; (9x - 10)(9x + 10)

<h3>How to factorize quadratic equations?</h3>

We are given the quadratic equation;

81x² - 100

Now, according to quadratic identities, we know that;

(a + b) * (a - b) = a² - b²

Now, our equation can also be expressed as;

81x² - 100 = 9²x² - 10²

Thus, applying the quadratic identity gives us;

(9x + 10)(9x - 10)

Read more about factorization of quadratic equations at; brainly.com/question/1214333

#SPJ1

5 0
2 years ago
Of the last 500 customers entering a supermarket, 50 have purchased a wireless phone. If the relative frequency approach for ass
Inessa05 [86]

Answer:

The probability that the next customer will purchase a wireless phone is 0.1

Step-by-step explanation:

The relative frequency approach states<em> how often something happens divided by all outcomes</em>.

In the example some of the customers entering a supermarket purchased a wireless phone.  

Here all outcomes are 500 customer entering supermarket. And among these outcome purchasing wireless phone happened 50 times.

Then the probability that the next customer will purchase a wireless phone is

\frac{50}{500}.

If we divide both sides by 50, we get \frac{1}{10}=0.1

3 0
3 years ago
A researcher conducted an experiment to investigate the effectiveness of a medicated lotion in treating a skin irritation. A gro
Helga [31]

Answer:

It can be concluded that the medicated lotion has an effect on treating skin irritations.

Step-by-step explanation:

In this case we need to determine whether the medicated lotion was effective in treating the skin irritation or not.

The hypothesis can be defined as follows:  

<em>H₀</em>: There is no difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ = 0.  

<em>Hₐ</em>: There is a significant difference between the two proportions, i.e. <em>p</em>₁ - <em>p</em>₂ ≠ 0.  

The information provided is:

n₁ = 40

n₂ = 40

X₁ = 36

X₂ = 16

Compute the sample proportions and total proportions as follows:

 \hat p_{1}=\frac{36}{40}=0.90\\\\\hat p_{2}=\frac{16}{40}=0.40\\\\\hat P=\frac{X_{1}+X_{2}}{n_{1}+n_{2}}=\frac{36+16}{40+40}=0.65

Compute the test statistic value as follows:

 z=\frac{\hat p_{1}-\hat p_{2}}{\sqrt{\hat P(1-\hat P)[\frac{1}{n_{1}}+\frac{1}{n_{2}}]}}=\frac{0.90-0.40}{\sqrt{0.65(1-0.65)[\frac{1}{40}+\frac{1}{40}]}}=4.69

The test statistic value is 4.69.

The decision rule is:

The null hypothesis will be rejected if the <em>p</em>-value of the test is less than the significance level.

Compute the <em>p</em>-value as follows:

 p-value=2\times P(Z

The <em>p</em>-value of the test is very small.

The null hypothesis will be rejected at any significance level.

Thus, there is a significant difference between the two proportions.

So, it can be concluded that the medicated lotion has an effect on treating skin irritations.

6 0
3 years ago
Help needed only if you can explain!!
Nadusha1986 [10]

Answer:

The probability is 1/41664.

To calculate the probability, write a fraction. The numerator is the number of ways the outcome can occur. The denominator is the number of different outcomes.

Thus, 1 is the number of outcomes we want. 41664 is the total number of different combinations possible.

3 0
3 years ago
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