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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

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if the expression 4x-3 is equal to 11 for some value of x, then what is the expressiom 4x-1 equal for the same value of x
marta [7]

Answer: 13


Step-by-step explanation:

Add 3 to each side. That original 3 is cancelled out so you're left with 4x=11. Divide each side by 4 and that leaves you with x = 3.5


Now all you have to do is multiply 4 by 3.5 which is 14. You now have to subtract 1 and your answer is 13.


6 0
3 years ago
How do i solve for <br> (2x/5)+1=13/5
NNADVOKAT [17]

Answer:

x = 4

Step-by-step explanation:

  1. \frac{2x}{5} +1 = \frac{13}{5}  
  2. \frac{2x+5}{5} = \frac{13}{5} divide both sides by 5
  3. 2x + 5 = 13 subtract 5 from both sides
  4. 2x = 8 divide both sides by 2
  5. x = 4
5 0
3 years ago
A store sells a gas can that can hold 35/8 gallons of gasoline. What is of the gas can in gallons, expressed as a mix number?
Novay_Z [31]
I thinks its 4.375 all u do is divide 35 by 8
7 0
3 years ago
4y-70=12y+2<br><br> Solve????
Lady_Fox [76]
Simplifying <span>4y + -70 = 12y + 2
</span>
Add -12y to each side of the equation. -70 + 4y + -12y = 2 + 12y + -12y 

<span>Add 70 to each side of the equation. -70 + 70 + -8y = 2 + 70
</span>
Divide each side by -8.
<span>
</span>So y = -9 is your answer.

Hope I Helped!!!
6 0
3 years ago
Use this number line when answering questions.
Dmitrij [34]

Answer:

If the darker, longer lines are going in units of one, then A is equal to -2.

Step-by-step explanation:

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