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
Free_Kalibri [48]
3 years ago
7

There are 7 similarly shaped figures in a set. The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter

than the next larger figure. The surface area of the largest figure is 588 in. squared. What is the surface area of the smallest figure?
Mathematics
1 answer:
galben [10]3 years ago
4 0
The first thing we must do for this case is to find the scale factor based on the dimensions of the figures.
 The largest figure is 7 inches tall. Each of the other figures is 1 inch shorter than the next larger figure.
 We have then that the smallest figure has a height of 1 inch.
 The scale factor is:
 k = (smallest figure) / (largest figure) = 1/7
 k = 1/7
 The surface area of the smaller figure is:
 A = k ^ 2 * (A ')
 Where
 A ': surface area of the largest figure.
 Substituting:
 A = (1/7) ^ 2 * (588)
 A = 12 in ^ 2
 Answer:
 
The surface area of the smallest figure is:
 
A = 12 in ^ 2
You might be interested in
(Look at picture above) Find the volume of the cone. Round your answer to the nearest tenth. 9 yd 7 yd The volume of the cone is
nata0808 [166]

Answer:

V = 115.5 cubic yards

Step-by-step explanation:

V (cone) = 1/3πr²h

just substitute given values to get:

r = 7/2 or 3.5

h = 9

V = π(3.5²)(9)/3

V = 115.5 cubic yards

3 0
2 years ago
An angle in standard position measures 5pie/8 radians.
GrogVix [38]

Answer:

Step-by-step explanation:

It's easier to convert the angle into degrees.

5π/8 ≅ 112.5°, which is in quadrant II

3 0
3 years ago
Solve this function f(-4)= -3x+6
timama [110]

Answer:

Solve for f.

f(−4)=−3x+6

Step 1: Divide both sides by -4.

−4f/-4 = −3x+6/−4

f=3/4x + −3/2

Answer:

f= 3/4x + −3/2

7 0
3 years ago
Need help finding the side length, thank you! please try and show work or you can
Tasya [4]

Answer: x=16

Step-by-step explanation:

For this problem, we can set a proportion to find the side length of the smaller rectangle.

\frac{15}{24}=\frac{10}{x}                                     [cross multiply]

15x=240                                 [divide both sides by 15]

x=16

8 0
3 years ago
If we place all the rational numbers on a number line, how close are the numbers? That is to say, what is the distance between o
satela [25.4K]

the distance that we would have if we made the line of centimeters the distance would be 1mm, if we did it in decimeter, the distance would be 1cm and then successively.

3 0
3 years ago
Other questions:
  • A random sample of 250 men yielded 175 who said they'd ridden a motorcycle at some time in their lives, while a similar sample o
    11·1 answer
  • A refreshment stand makes 2 large servings of frozen yogurt from 3 pints. Add the line to the graph and write the equation.
    9·2 answers
  • Which shows all the names that apply to the figure?
    9·2 answers
  • What is the answer to 8x + 8y + 12
    15·1 answer
  • If MN = 5, NO = 13, then LM = (Blank 1). (Round your answer to one decimal place, as necessary.)
    6·1 answer
  • Mr. Carter's total bill at Outback was $75. His food
    7·1 answer
  • I don't know which statement to start with
    13·1 answer
  • On a Saturday, a library checked out 52 books. Of the 52 books checked out, 24 of the books were fiction. What type of ratio doe
    7·1 answer
  • Given the function f(x) =5/4 x -5 solve for the X- and y- intercepts use the interprets to graph the function .
    7·1 answer
  • Max is thinking of a number, which he calls n. He adds 8 and then doubles the sum.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!