Answer:
Volume ≈ 33.33 cubic feet
Step-by-step explanation:
The question is:
<em>Find the volume of a right square pyramid with base square edges measuring 5 feet each and a height of the pyramid be 4 feet.</em>
<em />
So, the base is a square with side length 5 feet.
And the height of the pyramid is 4 feet.
The volume of a pyramid is given by the formula:

Where
a is the square base side length (given as 5)
h is the height of the pyramid (given as 4)
Now we substitute and find the value:

The volume is around 33.33 cubic feet
Answer:
n=-30
Explanation:
Given the equation:

Step 1: Add 2 to both sides.

Step 2: Multiply both sides by -3.

The solution to the equation is n=-30,
Answer: B. x=10
Step-by-step explanation:
<u>Concept</u>
- If it is an isosceles triangle, then the altitude would also be the median of the base, meaning that it divides the base evenly.
- We are going to use the Pythagorean theorem which is a²+b²=c², where [a] and [b] are legs, and [c] is the hypotenuse.
<u>Given</u>
Hypotenuse (relative) = √74
Altitude (one leg) = 7
The other leg (half of the base) = x/2
<u>Solve</u>
a² + b² = c²
(7)² + (x/2)² = (√74)²
49 + x²/4 = 74
x²/4 = 25
x² = 100
x = 10
Hope this helps!! :)
Please let me know if you have any questions
A.
To solve, you need to get the variable by itself.
Order of operations:
Square root both sides.
(x-5)= plus/minus root 3, as 3 is not a perfect square.
Now you need to add 5 to both sides to get it to disappear on the side with the x.
x=root3 +or - 5, which can be rearranged so that 5 is the first term.