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]
2 years ago
15

A pyramid with a square base is cut by a plane that is parallel to its base and is 2 units from the base. The surface area of th

e smaller pyramid that is cut from the top is half the surface area of the original pyramid. What is the altitude of the original pyramid
Mathematics
1 answer:
icang [17]2 years ago
7 0

Answer:

  6.83 units

Step-by-step explanation:

Let the height of the original pyramid be represented by h. Then the cut off top has a height of (h -2). The scale factor for the area is the square of the scale factor for height, so we have ...

  (height ratio)^2 = 1/2

  ((h -2)/h)^2 = 1/2

  (h -2)√2 = h . . . . . . square root; multiply by h√2

  h(√2 -1) = 2√2 . . . . add 2√2 -h

  h = (2√2)/(√2 -1) ≈ 6.8284 . . . units

The altitude of the original pyramid is about 6.83 units.

You might be interested in
When rolling a fair dice numbered 1-6 what is the probability of getting an even number
Sveta_85 [38]
The probability is 50% or 1/2
4 0
3 years ago
Read 2 more answers
AAAAAAAAAAAAAAAAAA Help please ;-;​
Alex73 [517]
1: a
2: e
3: a
4: c
5: b
6 0
3 years ago
18$ for 6 balloons. 2$ for additional balloons . How many balloons can you buy with 50?
alukav5142 [94]

Answer:

yes, 22

Step-by-step explanation:

50 - 18 = 32   (6 balloons)

32/2 = 16 (balloons)

16 + 6 = 22

4 0
3 years ago
Read 2 more answers
[PICTURE ATTACHED] HHHHEEEELLLPPP!
seropon [69]

Answer:

Different

Step-by-step explanation:

The Same= Free points

7 0
3 years ago
Read 2 more answers
What is the Domain and range of (3,4)(5,7)(-3,8)(2,0)(1,3)
Pavlova-9 [17]

The domain is all x-values.

The range is all y-values.

Domain: 3, 5, -3, 2, 1

Range: 4, 7, 8, 0, 3

Best of Luck!

8 0
3 years ago
Other questions:
  • A scientist is measuring the temperature change in a medical compound the temperature dropped 11 Fahrenheit per hour from the or
    10·1 answer
  • Look at the picture part 1
    6·1 answer
  • The slope of the line below is 5. Which of the following is the point-slope form of the line?
    15·1 answer
  • e of the space shuttle’s external tanks can carry up to 200,000 gallons of fuel. It used 170,000 liters of fuel this tank to lea
    14·1 answer
  • Explain this please
    7·1 answer
  • Mr. Adams has 14 boys and 8 girls in his mathematics class. If he chooses two students at random to work on the board, what is t
    7·1 answer
  • Rewrite the expression below in exponential form<br> log2 ^0.125=-3
    14·1 answer
  • If the simple interest on ​$3,000 for 8 years is ​$1,200​, then what is the interest​ rate?
    5·1 answer
  • Find the domain of the following functions and simplify their expressions.
    11·1 answer
  • ASAP!!! PLEASE HELPPP!!Write an equation for the following sentence, then solve for the unknown value.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!