If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units, what is the volume of the pyramid? cubic units

Answers

Answer 1

Answer:

Answer:

The volume of the pyramid is 9 cubic units.

Step-by-step explanation:

Given : If the bases and heights of a prism and a pyramid are the same and the volume of the prism is 27 cubit units.

To find : What is the volume of the pyramid?

Solution :

We know that,

If a pyramid and a prism have the same base and height then their volumes are always in the ratio of 1 : 3.

Which means the volume of pyramid is one-third of the volume of the prism.

i.e. $V_P=(1)/(3)* V_p$

Volume of the prism $V_p=27 \text{ unit}^3$ (given)

The volume of pyramid is

$V_P=(1)/(3)* 27$

$V_P=9\text{ unit}^3$

Therefore, The volume of the pyramid is 9 cubic units.

Answer 2

Answer: You divide 27 with 3 I think, because when you need to know the pyramid's volume you do:
base x height / 3
And when you want to know the prism's it's just the base x height.

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What precent does this change $16 to $4

Answers

Answer:

Percentage change=75% .

Step-by-step explanation:

Given : $16 to $4

To find: What is the percent change .

Solution: We have given that $16 to $4 .

Change = final value - initial value .

Change = $16 - $4

=$12

percentage change = $(change)/(original value) *100$

= $(12)/(16) *100$

On dividing both number by 4

percentage change=. $(3)/(4) *100$

percentage change=. [tex]\frac{300}{4} .

percentage change=75% .

Therefore, percentage change=75% .

The percent change is 25%,because 4 divided by 16 is 0.25,and to convert a decimal to a percent,I multiplied 0.25 by 100,and the product,(the answer when 2 or more numbers are multiplied)was 25 and then i added the percent sign to 25,and so the percentage is 25%

Perform the division and leave the result in trigonometric form.

Answers

Answer:

$(1)/(2)$ ( cos40° + isin40°)

Step-by-step explanation:

To divide

$\frac{r_{1(cosx_(1)+isinx_(1)) } }{r_(2)(cosx_(2)+isinx_(2)) }$

= $(r_(1) )/(r_(2) )$ [ cos(x₁ - x₂) + isin(x₁ - x₂)

Given

$(2(cos90+isin90)/(4(cos50+isin50))$

= $(2)/(4)$ ( cos(90 - 50)° + isin(90 - 50)°

= $(1)/(2)$ ( cos40° + isin40° )

Find the new amount, Increase 2850 by 18%

Answers

18 % of 2850 = 513
increased amount = 2850 + 513 = 3363

2850*1.18
=3,363
20 charr

Talia asked her friends, “What’s your favorite season?” She recorded the results in a percent bar graph.Based on the graph, which statement about her friends’ preferences is true?

A.

More people chose spring than summer.

B.

More than half chose winter.

C.

The mode of the data is fall.

D.

Summer is the most popular season.