The side length of the square base is 18 inches and the height of the pyramid is 9 inches.
Step-by-step explanation:
Step 1:
The volume of a square pyramid is calculated by multiplying the square of the base edge with the height of the pyramid and 
.
The volume of a square pyramid, 
Step 2:
From the given diagram, the base edge is the length of the four base edges which is x inches in this pyramid. a = x inches.
The height of the pyramid is from the base to the top, h = 
inches .
The volume of a square pyramid, 
Substituting the known values, we get
![x^{3} = 6(972) = 5,832. x = \sqrt[3]{5,832} = 18.](https://tex.z-dn.net/?f=x%5E%7B3%7D%20%3D%206%28972%29%20%3D%205%2C832.%20x%20%3D%20%5Csqrt%5B3%5D%7B5%2C832%7D%20%3D%2018.)
So x is 18 inches long.
The side length 
inches.
The height of the pyramid 
inches.
Answer:
d(m) = (1.05 miles/min)*m
Step-by-step explanation:
Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):
2 5/8 miles
--------------------
3 1/2 minutes
First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:
21/8 miles 21/8 miles
------------------ = ---------------------- = 21/20 miles/minute
5/2 minutes 20/8 minutes
The constant rate is (21/20) miles/minute, or 1.05 miles/minute.
Thus, the equation representing the distance, d, that the car travels in m minutes is
d(m) = (1.05 miles/min)*m
Answer:
The sum of the interior angles in a triangle is always 180. So, if two angles sum up to 136 degrees, the remaining angle must complement to 180, and it must be
180-136=44
degrees
Step-by-step explanation:
- The Temperatures are on the top column numbers.
- The Wind speeds are on the left lateral numbers.
Answer: D, 23°F.
In any given right triangle, the Pythagorean Theorem can be used to show that it is a right triangle.
The Pythagorean Theorem is a^2+b^2=c^2. In a right triangle, a and b would be the shorter legs of the triangle, while c would be the hypotenuse.
So for this problem, you would plug in the numbers in the order that they are listed to see if it is a right triangle.
F would be: 2^2+4^2=7^2. In this case, the sides are not equal.
G would be: 6^2+8^2=10^2. In this case, 100=100. So this is a right triangle.
H would be: 4^2+9^2=12^2. The sides are not equal.
J would be: 5^2+10^2=15^2. The sides are not equal.
Your answer would be G, since the sides are equal. Hope this helps! :)
