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2 years ago

Find the volume of the square pyramid shown. Round to the nearest tenth if necessary.

Mathematics

1 answer:

Butoxors [25]2 years ago

4 0

Formula
The formula for a pyramid is V = 1/3 * B * h

B = s * s of the square bottom
s = 10

B = 10*10
B = 100 square feet.

Height.
The height is not given. You find it using a^2 + b^2 = c^2
a = 1/2 length of the side of the base
b = height
c = 13^2

If you draw a line to the midpoint of the base form the base of the height, you get 5. You have to read that a couple of times. I don't know if you can see this or not.
AC = 10
B is the midpoint of AC that means that BD = 5
BH = 13 Given
We need HD

Use the pythagorean theorem
HD^2 + BD^2 = BH
HD^2 + 5^2 = 13^2
HD^2 + 25 = 169
HD^2 = 169 - 25
HD^2 = 144 Take the sqrt of both sides.
HD = sqrt(144)
HD = 12

Find the Volume
V = 1/3 * B * H
V = 1/3 * 100 * 12
V = 1/3 * 1200
V = 400

Answer
V = 400 square feet <<< answer

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Answer:

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Step-by-step explanation:

From the question we are told that

The sample size is n = 118

The number that gave the correct answer is k = 44

Generally the sample proportion is mathematically represented as

$\^ p = \frac{44}{118}$

=> $\^ p =0.3729$

Generally given that the confidence level is 95% the level of significance is mathematically represented as

$\alpha = (100 -95) \%$

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$Z_{\frac{\alpha }{2} } = 1.96$

Generally the margin of error is mathematically represented as

$E = Z_{\frac{\alpha }{2} } * \sqrt{\frac{p(1 - p)}{n} }$

=> $E = 1.96 * \sqrt{\frac{0.3729(1 - 0.3729)}{118} }$

=> $E = 0.0872$

Generally 95% confidence interval is mathematically represented as

$\r p -E < p < \r p +E$

=> $0.3729 -0.0872< p < 0.3729 +0.0872$

=> $0.2857< p < 0.4601$

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3 years ago

Secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40o, arc AB = 60o, and arc BC = 160

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Answer:

C. $130^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc $CD = 40^o$ , arc $AB = 60^o$ , and arc $BC = 160^o$ . We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.

$\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}$

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

$\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})$

$\widehat{AD}=360^{\circ}-(260^{\circ})$

$\widehat{AD}=100^{\circ}$

$\angle AED=\frac{160^{\circ}+100^{\circ}}{2}$

$\angle AED=\frac{260^{\circ}}{2}$

$\angle AED=130^{\circ}$

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

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3 years ago

Let X, the number of flaws on the surface of a randomly selected boiler of a certain type, have a Poisson distribution with para

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Answer:

(a) 0.932

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3 years ago

What is y=− 2/9 x+2 written in standard form?

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Answer:

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Step-by-step explanation:

Distribute the denominator

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im sorry if this is wrong

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3 years ago

Q # 1 simplify the expression

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<u>Answer</u>

95,040

<u>Explanation</u>
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3 years ago