Step-by-step explanation:
2x+10=86+x
2x-x=86-10
x=76
I hope you understood :)
Answer:
16π
Step-by-step explanation:
Given:

<u>Formula:</u>

Replace the radius in the formula:

Evaluate the area:


Since the question says to determine the area in terms of π, the final answer is 16π.
Answer:
27.2 ft
Step-by-step explanation:
Let's set up a ratio that represents the problem:
Object's Height (ft) : Shadow (ft)
Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.
34 : 30
Find the unit rate:
The unit rate is when one number in a ratio is 1.
Let's make the Shadow equal to one by dividing by 30 on both sides.
Object's Height (ft) : Shadow (ft)
34 : 30
/30 /30
1.13 : 1
Now, let's multiply by 24 on both sides to find the height of the tree.
Multiply:
Object's Height (ft) : Shadow (ft)
1.13 : 1
x24 x24
27.2 : 24
Therefore, the tree is 27.2 feet tall.
A = bh/2
2a = bh
2a/b = h
h = 2a/b