-2w^2=66.54-201.02
-2w^2= -134.48
w^2 = 134.48/2
w=square root of (67.24)=8.20
Answer:
3, 5, 7, 9, 11, .........
Step-by-step explanation:
Given
= n(n + 2) , then
S₁ = 1(1 + 2) = 1(3) = 3 ⇒ a₁ = 3
S₂ = 2(2 + 2) = 2(4) = 8
S₃ = 3(3 + 2) = 3(5) = 15
Thus
a₂ = S₂ - S₁ = 8 - 3 = 5
a₃ = S₃ - S₂ = 15 - 8 = 7
The first 3 terms are 3, 5, 7
This is an AP with common difference d = 2, then
a₄ = a₃ + 2 = 7 + 2 = 9
a₅ = a₄ + 2 = 9 + 2 = 11
and so on
Pythagorean theorem: a^2 + b^2 = c^2
36^2 + b^2 = 85^2
1296 + b^2 = 7225
b^2 = 7225 - 1296
b^2 = 5926
b = square root of 5929
b = 77 inches long
Answer:

Step-by-step explanation:
Given
Square

Triangle


Required
Find h, if both shapes have the same area
The area of the square is:


The area of the triangle is:


Equate both areas

Divide both sides by x

Multiply both sides by 2



Answer:Theo worked for 10.5 hours.
Kade worked for 16.5 hours
Step-by-step explanation: