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maks197457 [2]
3 years ago
6

Bev has to cut her grandma's grass this weekend and wants to know exactly how much area she will be cutting. Calculate the area

of the polygon. Be sure to show all your work and explain your answer.
Six-sided polygon that includes two isosceles right triangles, one with height and base of 15 feet, the other height and base of 4 feet, and one rectangle measuring 25 feet by 4 feet.​

Mathematics
1 answer:
Kobotan [32]3 years ago
4 0

Answer:

Step-by-step explanation:

Area of 19 by 29 rectangle = 551 sq ft

White space:

Area of large triangle = 0.5*15^2 = 112.5 sq ft

Area of 15 by 14 rectangle = 210 sq ft

Area of small triangle = 0.5*4^2 = 8 sq ft

Shaded area = 551 - 112.5 - 210 - 8 = 220.5 sq ft

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The battery on McKenzies old computer can last 4(1/5) hours. She bought a new computer that has a battery that can last 40% long
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Answer:

5\frac{22}{25}\ hours

Step-by-step explanation:

we know that

4\frac{1}{5}\ hours=\frac{4*5+1}{5}=\frac{21}{5}\ hours

100\%+40\%=140\%=\frac{140}{100}

Let

x ------> new battery life

The equation that represent this situation is

x=\frac{140}{100} (\frac{21}{5})=\frac{2,940}{500}\ hours

convert to mixed number

\frac{2,940}{500}=\frac{2,500}{500}+\frac{440}{500}=5\frac{22}{25}\ hours

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3 years ago
Eight less than twice a number is the same as six times the number. Find the number.
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Answer:

Step-by-step explanation:

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If it takes two people six hours to paint a room, how long will it take four people
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Step-by-step explanation:

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One meteorite weighs 1.8 pounds. A second meteorite weighs 2.35 times as much as the first meteorite weighs. How much does the s
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A public health official is planning for the supplyof influenza vaccine needed for the upcoming flu season. She wants to estimat
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Answer:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

Step-by-step explanation:

We know that the sample proportion have the following distribution:

\hat p \sim N(p,\sqrt{\frac{p(1-p)}{n}})

In order to find the critical value we need to take in count that we are finding the interval for a proportion, so on this case we need to use the z distribution. Since our interval is at 90% of confidence, our significance level would be given by \alpha=1-0.90=0.1 and \alpha/2 =0.05. And the critical value would be given by:

z_{\alpha/2}=-1.64, z_{1-\alpha/2}=1.64

The margin of error for the proportion interval is given by this formula:  

ME=z_{\alpha/2}\sqrt{\frac{\hat p (1-\hat p)}{n}}    (a)  

And on this case we have that ME =\pm 0.04 and we are interested in order to find the value of n, if we solve n from equation (a) we got:  

n=\frac{\hat p (1-\hat p)}{(\frac{ME}{z})^2}   (b)  

We assume that a prior estimation for p would be \hat p =0.5 since we don't have any other info provided. And replacing into equation (b) the values from part a we got:

n=\frac{0.5(1-0.5)}{(\frac{0.04}{1.64})^2}=420.25  

And rounded up we have that n=421

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3 years ago
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