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4 years ago

3. Shane has two SIMILAR regular pyramids with Pentagon-shaped bases.

Mathematics

1 answer:

Elina [12.6K]4 years ago

3 0

Answer:

Answer:

A) 440.44 units³

B) similar figures

C) 1486.485 units³

Step-by-step explanation:

Volume = ⅓× base area × height

= ⅓ × 110.11 × 12 = 440.44 units³

B) he doesn't have to make calculations again because the two pyramids are similar.

If the ratio of sides is given, he can find the other volume using:

(side1/side2)³ = volume1/volume2

(2/3)³ = 440.44/volume2

Volume2 = 440.44 × 27/8

Volume2 = 1486.485 units³

Step-by-step explanation:

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A card is drawn at random from a standard deck of 52 cards. Find the following conditional probabilities. a) The card is a diam

Inga [223]

Answer:

$a.\frac{1}{13}\\b.\frac{1}{2}\\c.\frac{1}{13}\\d.\frac{1}{13}$

Step-by-step explanation:

P(A|B) = P(A and B) / P(B)

Total number of cards = 52

Let A denotes the event that the card is a diamond and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}\\=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is red and B denotes the card is diamond.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{4}{52}}\\=\frac{1}{2}$

Let A denotes the event that the card is nine and B denotes the card is red.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{2}{52}}{\frac{26}{52}}\\=\frac{1}{13}$

Let A denotes the event that the card is a king and B denotes the card is a face card.

$P\left ( A|B \right )=\frac{P\left ( A\cap B \right )}{P(B)}=\frac{\frac{4}{52}}{\frac{12}{52}}\\=\frac{1}{13}$

7 0

3 years ago

4x-y=2 2x+9y=-12 unsure how to solve

Anna11 [10]

Simple, use the process of elimination to figure this out:

4x-y=2
2x+9y=-12

Convert these, to be able to find either x or y.

2(4x-y=2) 8x-2y=4 multiply by 2.
then
4(2x+9y=-12) 8x+36y=-48

Which makes them

8x-2y=4
-
8x+36y=-48

-38y=52

This simplified makes it y= -26/19.

Then plug y back into the original equation

4x-y=2

4x-(-26/19)=2

Making it x= 3/19.

Thus your Point of Intersection is at (3/19, -26/19)

8 0

4 years ago

Read 2 more answers

Round 6.09933418366 to 4 decimal places

telo118 [61]

Answer:

6.113 i believe to be so

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3 years ago

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