Answer:
The radius is <u>10 feet</u>.
Step-by-step explanation:
The diameter is always twice as large as the radius so divide the diameter by 2 and you'll get the radius.
20 ÷ 2 = 10
Hope this helps! :D
The surface area of the triangular prism is 1664 square inches.
Explanation:
Given that the triangular prism has a length of 20 inches and has a triangular face with a base of 24 inches and a height of 16 inches.
The other two sides of the triangle are 20 inches each.
We need to determine the surface area of the triangular prism.
The surface area of the triangular prism can be determined using the formula,

where b is the base, h is the height, p is the perimeter and l is the length
From the given the measurements of b, h, p and l are given by
,
,
and

Hence, substituting these values in the above formula, we get,

Simplifying the terms, we get,

Adding the terms, we have,

Thus, the surface area of the triangular prism is 1664 square inches.
Answer:
A. 9x^4 and 3x^5y
Step-by-step explanation:
there are two ways to solve this:
first way:
You can solve this my substituting numbers for x and y in this case i used 2 for x and 3 for y and see which one is equal to the original equations
the second way is the regular way
when you add or subtract numbers with variables and exponents you want to add the constants and add the exponents in this case
is the same as
=
and you can do the same process for subtraction
= 
Given:
t = 1/2 √v
v = speed of object meters per second
t = 3 seconds
3 = 1/2 √v
3 * 2 = √v
6 = √v
6² = √v²
36 meters = v
v = 36 meters per second
Answer:
600 L of 30% proof and 400 L of 80% proof is needed
Step-by-step explanation:
Let the amount of 30% smell proof be x while that of 80% smell proof is y
Then;
x + y = 1000 •••••(i)
Also;
30% of x + 80% of y = 50% of 1000
0.3x + 0.8y = 500 •••••(ii)
From i, x = 1000 - y
Put this into ii
0.3(1000-y) + 0.8y = 500
300 - 0.3y + 0.8y = 500
0.5y = 500-300
0.5y = 200
y = 200/0.5
y = 400 L
But x = 1000 - y
x = 1000 - 400 = 600 L