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
AURORKA [14]
2 years ago
9

Find the volume of the following. Please round your answer to the nearest tenth. Please do not put units. Hint: You need to use

the pythagorean theorem

Mathematics
1 answer:
Sophie [7]2 years ago
3 0

Answer:

<em>V = 1,568</em>

Step-by-step explanation:

<u>The Volume of a Square Pyramid</u>

Given a square-based pyramid of base side a and height h, the volume can be calculated with the formula:

\displaystyle V=\frac{1}{3}a^2h

We are given a square pyramid with a base side a=14 ft but we're missing the height. It can be calculated by using the right triangle shown in the image attached below, whose hypotenuse is 25 ft and one leg is 7 ft

We use Pythagora's theorem:

25^2=h^2+7^2

Solving for h:

h^2=25^2-7^2=625-49=576

h=\sqrt{576}=24

The height is h=24 ft. Now the volume is calculated:

\displaystyle V=\frac{1}{3}*14^2*24

V = 1,568

You might be interested in
Solve for B.<br> R = x(A+B)
Aleonysh [2.5K]
Work:
Solve for B
R=x (A+B)
distribute
R=Ax+Bx
-Ax both sides
R-Ax=Bx
÷x both sides
(R-Ax)/x=B
Answer: B=(R-Ax)x or B= (R/x)-A
Check your work:
Plug in B
R=x (A+(R-Ax)/x)
R=x (A+R/x-A)
R=x (R/x)
R=R

Answer is correct
6 0
3 years ago
Which expression is equivalent to 3(6m) + m?
nignag [31]
3(6m)+m
18m+m      Multiply the two terms
19m           Add the two terms
3 0
3 years ago
The elevation E, in meters, above sea level at which the boiling point of a certain liquid ist degrees Celsius is given by the f
sweet [91]

Answer:

Given E(t)=1100(100-t)+580(100-t)^2

Put t = 99.5, we get

E(99.5)=1100(100-99.5)+580(100-99.5)^2

E(99.5)=1100(0.5)+580(0.5)^2

E(99.5)=1100(0.5)+580(0.25)

E(99.5)=550+145

E(99.5)=695m

Step-by-step explanation:

7 0
3 years ago
What is -3 -4(2x -3)?
const2013 [10]

- 3 -4(2x -3)

Mutiply the bracket by -4

(-4)(2x)= -8x

(-4)(-3)= 12

-3-8x+12

-3+12-8x ( combine like terms )

9-8x or -8x+9

Answers:

9-8x or -8x+9

8 0
3 years ago
What is 2/9b=1/3b-7 the answer
Travka [436]
If you would like to know solve the equation 2/9 * b = 1/3 * b - 7, you can calculate this using the following steps:

2/9 * b = 1/3 * b - 7
2/9 * b - 1/3 * b = -7
2/9 * b - 3/9 * b = -7
-1/9 * b = -7
1/9 * b = 7     /*9
b = 7 * 9
b = 63

The correct result would be 63.
5 0
3 years ago
Other questions:
  • Please help need answer asp
    10·1 answer
  • How do u write 2.51 in word form and expanded form?
    11·2 answers
  • A line segment has an endpoint at (3,2) and a midpoint is (6,-2) what are the coordinates for the other endpoint
    14·1 answer
  • Can someone help please? ​
    6·1 answer
  • Please Answer This N o w
    13·1 answer
  • Why G' will coincide with A.?
    12·1 answer
  • Answer the following question!
    5·1 answer
  • Can someone explain to me how to solve this problem I’m really confused. I don’t even know where to start.
    14·2 answers
  • On a coordinate plane, point F is located at (3, 7) and point G is located at (9, 7).
    6·2 answers
  • Giving away brainly for help ASAP
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!