Pyramid A has height 5 1/2, and Pyramid B has height 2 3/4. A and B are similar. What is the ratio of their:
Lateral areas?
Volumes?

Answers

Answer 1

Answer:

Lateral areas have ratio of 4:1

Volumes have ratio of 8:1

Step-by-step explanation:

There is a rule in 3D geometry that when two solids are similar, and their edges are in the ratio of [tex]a:b[/tex], the ratio of any surface area type measure is always [tex]a^2:b^2[/tex] this includes the lateral area, which is just a surface area minus the base, which is not important for this problem. The ratio of volumes of those similar solids is in the ratio of [tex]a^3:b^3\\[/tex].

Now, to solve this, we need to find the ratio of any corresponding length of these similar pyramids. We have both the heights, so if we form a ratio of [tex]\frac{5\frac{1}{2} }{2\frac{3}{4} }[/tex] which if you simplify it, it is [tex]\frac{5.5}{2.75}[/tex], which is [tex]2[/tex]. The ratio of the heights are [tex]2:1[/tex].

Now we can apply those rules to this ratio, the ratio of lateral areas would then be [tex]2^2:1^2[/tex], which is [tex]4:1[/tex]. the ratio of volumes would be [tex]2^3:1^3[/tex], which is [tex]8:1[/tex]


Related Questions

Solve triangle ABC. (Round your answers to one decimal place.)
∠A =
13.5
°
∠B =
63.9
°
∠C =

Answers

< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6

Which scatter plot shows the relationship
between the amount of gasoline in an
automobile's tank and the distance travelled
since the last fill-up?

Answers

Answer:

-0.04x +17.2

Step-by-step explanation:

Find the exact Value
Sin 75 - sin 15° using
sum-to product formula​

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Answer:

Prefer the attachment for ur ans.

pleas help me the question is the image below

Answers

FOR ALL MY POINTS write an argumentative essay on why dog parks are "helpful or harmful"

READ PROMPTAnswer:

Step-by-step explanation:

What is the answer to this question? Twice r is 20

Answers

Answer:

2r = 20

So, r = 10

Step-by-step explanation:

96 pencils come in a box. If 4 teachers share 3 boxes equally, how many pencils does each teacher receive-

Answers

Answer:

96 X 3 = 288

288/4 is 72

72 is the answer

Step-by-step explanation:

hope you have a great day

Please help .........

Answers

try socratic to answer that, it’s helped me

Which pair of angles are complementary? 2 points Option 1 O Option 2 O Option 3 O Option 4​

Answers

Answer:

option 4, complementary angles total 90°

Step-by-step explanation:

An artist sells paintings for $100 each. For each painting, the cost of the canvas
is $10 and the cost of the paints is $8.
How much profit (a positive amount of money earned after paying for
the costs) would the artist earn if she were to sell 10 paintings?

Answers

Answer:

$820

Step-by-step explanation:

What type of number is 0?
Select each correct answer.
integer
I rational
irrational
real
O natural
whole

Answers

Answer:

0 is a rational number, whole number, integer, and a real number.

Step-by-step explanation:

What is the y-intercept of the line given by the equation y = 5x - 21?
A. (0.5)
B. (0,21)
C. (0-5)
D. (0, -21)

Answers

A because it makes the most sense !
A it make a lot sense

Ky wants to buy three shirts, which were originally priced at $49.96 each. The store will discount the price of the 3rd shirt by 50% off and apply a %7.1 tax to the total cost of all three shirts. Including the tax, what will be the mean cost of each shirt?

Answers

9514 1404 393

Answer:

  $44.49

Step-by-step explanation:

The total cost before tax will be ...

  $49.96 +49.96 + 0.50(49.96) = $124.90

With tax added, the cost is ...

  $124.90 × 1.071 = $133.77

Then the average cost per shirt for the 3 shirts is ...

  $133.77/3 = $44.59

The mean cost of a shirt is $44.59.

Answer:

the answer is $44.49

Step-by-step explanation:

:))

Please help me Please help me Please help me Please help me Please help me Please help me Please help me Please help me

Answers

Answer:

is a d :) for a 20y

Step-by-step explanation:

I need help with solving this​

Answers

Answer:

x=12

.......................

y = x^3 + 5x^2 + 3x x= -3

Answers

Answer:

9

Step-by-step explanation:

-3^3 +5*(3)^2 +3*-3

-27+5*9+(-9)

-27+45-9

=9

Answer:

Step-by-step explanation:

Wherever you see an x, put in -3

y=(-3)^3 + 5(-3)^2 + 3(-3)

y = - 27 + 5 * 9 +  -9

y = -27 + 45 - 9

y = 9

what is the answer
for this

Answers

Answer: 2.5 // 2 1/2

Step-by-step explanation:

1/2 + 1/2 = 1

3/4 + 3/4 = 6/4 = 1 1/2

1 + 1 1/2 = 2 1/2

2 1/2 = 2.5

the two the numbers -2.6 and -2.1 are shown on the number line what is the distance between the two points​

Answers

Answer:

0.5

Step-by-step explanation:

The distance between the points will be the difference between the points as shown;

Difference = -2.1 - (-2.6)

Difference = -2.1 + 2.6

Difference = 2.6 - 2.1

Difference = 0.5

Hence the difference between the numbers -2.6 and -2.1 on the number line is 0.5

The Spanish club collected $13.45 from each of its nine members. How
much did the Spanish club collect?

Answers

Answer:

$121.05

Step-by-step explanation:

Answer:

$121.05

Step-by-step explanation:

Since we are told that there is 9 members and each once is 13.45 we can simply do 13.45 times 9 to get the number 121.05.

Find the value of x

Please help

Answers

Answer:

128 degrees

Step-by-step explanation:

360-90-90-52=128

Find the area of the rectangle

Answers

Answer:

40 mi

Step-by-step explanation:

area= width*length  

Answer:

40 mi

Step-by-step explanation:

probally a jok e

[tex]A=l*w[/tex]

[tex]A = 5*8[/tex]

[tex]A=40[/tex]

Hello I need help please anyone help me ??????!!!!!!

Answers

Answer:

(x-4)^2

(x-4)(x-4)

x^2-4x-4x+16

X^2-8+16

Solve for X in the diagram below.

Answers

Answer:

X = 56

Step-by-step explanation:

Which parametric equations represent y = x + 2? Check all that apply.

Answers

Answer:

The correct choices are the first, second, and fifth options.

Step-by-step explanation:

Edge 2021

Answer:

a,b and e

Step-by-step explanation:

on edg 2021

HELP!!! DUE IN 8 MINS!! ​

Answers

Answer:

Step-by-step B. is your answer

explanation:

4.

What is the error in this equation for a trigonometric ratio? Explain the error in full sentences and give a corrected ratio. (5 points)

Answers

Answer:

[tex]\cos\ A = \frac{2}{4.5}[/tex]

Step-by-step explanation:

Given

[tex]sin\ A = \frac{2}{4.5}[/tex]

See attachment

Required

Explain and correct the error

The error in the equation is that: the formula of cosine of angle A is used to calculate the sine of angle A.

The ratio can be corrected as by using:

[tex]\cos\ A = \frac{Adjacent}{Hypotenuse}[/tex]

[tex]\cos\ A = \frac{AC}{AB}[/tex]

[tex]\cos\ A = \frac{2}{4.5}[/tex]

I need help look in screenshot plzz

Answers

Answer:

45

Step-by-step explanation:

3 to the power of 2=9

and 9x5 =45

please help I have tried over and over and can't get it​

Answers

1) -3
2) 6
3) 4
4) 2
5) 5
6) 5
7) 7
8) -3
9) 9
10) 6
11) -5
12) 0

Here are your answers may I please have the brainliest

There are 4 classrooms for fifth grade and 4 classrooms for sixth grade at a school. Each classroom has 20 students. A teacher is planning a field trip for some fifth and sixth grade students at this school. The teacher knows the following information:
90% of fifth and sixth grade students have permission to go on the trip.
4 teachers are going on the trip.
The school requires 1 parent volunteer for every 8 students going on the trip.
Part A
How many parent volunteers are needed to go on the trip?

Answers

Answer:

18

Step-by-step explanation:

Fifth grade has 80 students and sixth grade has 80 students. so if you get 90% of both then you have 72 and 72. Add and divide by 8 and you have the answer of 18 parent volunteers going.

Answer:

18 pls give brainliest i never get them :(

Step-by-step explanation:

Evaluate the expression: 2 ⋅ 6^2 *

Answers

2*36=64
Thank you hope this helps

Answer:

72

Step-by-step explanation:

First square 6.

6^2=36

Then multiply 26 by 2.

2*36=72

The trinomial 2x2 + 13x + 6 has a linear factor of x + 6.
2x2 + 13x + 6 = (x + 6)(?)
What is the other linear factor?

A. x + 3
B. x + 6
C. 2x + 1
D. 2x + 3

Answers

Answer:

C (2x+1)

Step-by-step explanation:

I hope this helps!

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