Again using the Pythagorean Theorem:
h^2=x^2+y^2, where h is the hypotenuse of a right triangle and x and y are the side lengths. You are given that the hypotenuse is 34 ft and the base side is 16ft. Let h=34, x=16, and y=height, then you have:
34^2=16^2+y^2
y^2=34^2-16^2
y^2=1156-256
y^2=900
y=√900
y=30 ft
So the ladder will reach a spot 30 feet high on the building.
Answer:
25.12 in^3.
Step-by-step explanation:
Volume of the cylinder = 3.14 * r^2 * h
= 3.14 * 2^2 * 8
The volume of the preserve
= 1/4 * 3.14 * 4 * 8
= 25.12 in^3.
Answer:
D. x=4
Step-by-step explanation:
We can solve this with the Pythagorean Theorem for the right triangle that we can see (which is half of the triangle).
The bottom length is 3 and the hypotenuse is 5.
The Pythagorean Theorem is a²+b²=c².
We can plug this in:
3²+x²=5²
9+x²=25
x²=16
x=4
Answer:
12
Step-by-step explanation:
Let the total number of donuts in the pack be x.
Amy = 2/3x
Anna = 1/4x
David = 1
x - 2/3x - 1/4x = 1
Find common denominators for 2/3 and 1/4
The common denominator is 12
2/3 * 4/4 = 8/12
1/4 * 3/3 = 3/12
x - 8/12x - 3/12x = 1
x - 11/12x = 1
1/12x = 1
x = 12
You can always check
Amy = 8
Anna = 3
So David must equal to 1
Hope this helps :)
Have an awesome day!
