1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nataly [62]
2 years ago
5

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:

Mathematics
1 answer:
N76 [4]2 years ago
5 0

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 a:b, the ratio of any surface area type measure is always a^2:b^2 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 a^3:b^3\\.

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 \frac{5\frac{1}{2} }{2\frac{3}{4} } which if you simplify it, it is \frac{5.5}{2.75}, which is 2. The ratio of the heights are 2:1.

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

You might be interested in
Choose the kind(s) of symmetry. (Select all that apply.) the letter (D)
k0ka [10]

Answer:Point and line

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Hajra's weekly pay this year is £676. This is 30% more than her weekly pay last year. Work out Hajra's weekly pay last year.
marissa [1.9K]
\text{new pay}=\frac{130}{100}(\text{old pay}) hence \text{old pay}=\frac{130}{100}\cdot676=\boxed{\£520}
3 0
3 years ago
A.Calculate the water pressure of a solid at a depth of 75 cm from the clear surface of the water.
rusak2 [61]

Answer:

B.

Step-by-step explanation:

step by step sa na maka tulong

5 0
2 years ago
Help pls get it right bc Thais is a test
Reil [10]

Answer:

$0.11

Step-by-step explanation:

4 0
2 years ago
5. Sara has a photo that is 5 inches by 7 inches. When she adds a frame
stiv31 [10]

Answer:

  1 inch

Step-by-step explanation:

Factors of 63 are 7 and 9, each of which is 2 more than the dimensions of the photo. Sarah's frame is 1 inch wide.

_____

A 1-inch wide frame adds 2 inches to length and width.

_____

<em>Solution using an equation</em>

If you let w represent the width of the frame, the area of the framed photo is ...

  (5+2w)(7+2w) = 63

  4w^2 +24w -28 = 0 . . . . write in standard form

  w^2 +6w -7 = 0 . . . . . . . . divide by 4

  (w -1)(w +7) = 0 . . . . . . . . factor

The positive solution to this equation is w=1.

The width of the frame is 1 inch.

5 0
3 years ago
Other questions:
  • Write an equation of a line in point-slope, slope-intercept, and standard form that has
    13·1 answer
  • Will pick BRAINLIEST!!
    15·2 answers
  • Evaluate 7 + (-3x^2) for x = 0. 4
    10·1 answer
  • 1. What property allows the expression
    10·1 answer
  • There are several different methods for finding the slope of a line depending on the information given. In your own words, pleas
    15·1 answer
  • Write x^5 in expanded form​
    13·1 answer
  • Find the equation of the straight line passing through the point (0,1) which is perpendicular to the line y= -2x + 2
    9·1 answer
  • YALL PLEASE HELP, need to turn this in ASAP
    14·1 answer
  • -2x + y = 4
    11·1 answer
  • A city government is considering raising the local income tax to pay for improvements to government facilities. A
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!