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3 years ago

Three oblique pyramids have the same regular square base. Which one has a volume of 15 cubic units if the area

Mathematics

2 answers:

Verizon [17]3 years ago

5 0

Answer:

Step-by-step explanation:

expeople1 [14]3 years ago

5 0

Answer:

<h2>The second pyramid, placed in the middle, has a volume of 15 square units.</h2>

Step-by-step explanation:

Givens

The area of the bases is 15 square units.
All of them have the same base.

The volum of a pyramid is defined as

$V=\frac{1}{3}Bh$

Where $B$ is the are of the base and $h$ is the height.

So, all of them have $B=15u^{2}$

The first pyramid has a height of 4, replacing this in the formula we have

$V=\frac{1}{3}15(4)=5(4)=20u^{3}$

The second pyramid has a height of 3

$V=\frac{1}{3}15(3)=5(3)=15u^{3}$

The third pyramid has a height of 12

$V=\frac{1}{3}15(12)=5(12)=60u^{3}$

Therefore, the second pyramid, placed in the middle, has a volume of 15 square units.

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2 years ago

The n candidates for a job have been ranked 1, 2, 3,…, n. Let X 5 the rank of a randomly selected candidate, so that X has pmf p

Anon25 [30]

Answer:

A. E(x) = 1/n×n(n+1)/2

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Step-by-step explanation:

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P(x) = {1/n, x = 1,2...n}

Therefore,

Expectation of X

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2 years ago

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irakobra [83]

Answer:

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Step-by-step explanation:

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2 years ago

Which representation of a transformation on a coordinate grid does not preserve congruence?

Alex17521 [72]

Answer:

Step-by-step explanation:

Consider all options:

A. Transformation with the rule

$(x,y)\rightarrow (x,-y)$

is a reflection across the x-axis.

Reflection across the x-axis preserves the congruence.

B. Transformation with the rule

$(x,y)\rightarrow \left(\dfrac{7}{8}x,\dfrac{7}{8}y\right)$

is a dilation with a scale factor of $\frac{7}{8}$ over the origin.

Dilation does not preserve the congruence as you get smaller figure.

C. Transformation with the rule

$(x,y)\rightarrow (x+6,y-4)$

is a translation 6 units to the right and 4 units down.

Translation 6 units to the right and 4 units down preserves the congruence.

D. Transformation with the rule

$(x,y)\rightarrow (y,-x)$

is a clockwise rotation by $90^{\circ}$ angle over the origin.

Clockwise rotation by $90^{\circ}$ angle over the origin preserves the congruence.

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3 years ago