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2 years ago

Based on the picture below:

Mathematics

1 answer:

galben [10]2 years ago

5 0

Answer:

72000

Step-by-step explanation:

Look at the triangle: 450 yards and 320 yards, with 80 degrees between these two sides. Use the 450 yard side as base. You want the altitude, which can be 320%2Asin%2880%29.

AREA is multiply the base by the height, and then divide by 2.

more simply, area is 72000 Square Yards.

hope it helps:)

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Mileage tests are conducted for a particular model of automobile. If a 98% confidence interval with a margin of error of 1 mile

Llana [10]

Answer: 37

Step-by-step explanation:

Given : Significance level : $\alpha:1-0.98=0.02$

Critical value : $z_{\alpha/2}=z_{0.01}=2.33$

margin of error : E= 1 mile per gallon

Population standard deviation: $\sigma=2.6$ miles per gallon.

We know that when the population standard deviation is known then the formula to find the sample size is given by :

$n=(\dfrac{z_{\alpha/2}\times \sigma}{E})^2$

$n=(\dfrac{(2.33)\times 2.6}{1})^2=36.699364\approx37$ [Round to the next whole number.]

Hence, the required number of automobiles should be used in the test = 37

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3 years ago

If all the dimensions of the rectangular pyramid are multiplied by 1/5, what is the effect on the volume

Pachacha [2.7K]

Answer:

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 125 times smaller.

Step-by-step explanation:

A rectangular pyramid has the following dimensions:

length(l), height(h) and width(w)

The volume is:

$V = \frac{l*h*w}{3}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5

Then we have that:

$l = \frac{l}{5}, w = \frac{w}{5}, h = \frac{h}{5}$

The modified volume will be:

$V_{M} = \frac{\frac{l}{5}*\frac{w}{5}*\frac{h}{5}}{3} = \frac{\frac{l*w*h}{125}}{3} = \frac{l*h*w}{125*3} = \frac{1}{125}(\frac{l*h*w}{3}) = \frac{V}{125}$

If all the dimensions of the rectangular pyramid are multiplied by 1/5, the volume will be 1/125 of the original, that is, 125 times smaller.

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2 years ago

Suppose the average temperature for a 4‐day period in Chicago, Illinois, is ‐8Ԭ. After the next day, the 5‐day average is ‐9Ԭ. W

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Answer:

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Step-by-step explanation:

Given that:

Average temperature for a period of 4 days = - 8

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Temperature on the 5th day:

(total temp for the 4 days + 5th day temperature) / 5 = - 9

Let 5th day temperature = x

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(-32 + x) / 5 = - 9

-32 + x = - 45

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2 years ago

Jake is arranging a poetry reading. There will be 6 poets. The reading should run 90 minutes. Each poet will read for the same l

valentinak56 [21]

Answer:

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Step-by-step explanation:

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