Let the other 2 unknown sides be y n z
look at the two smaller triangles inside
y^2 = 12^2 + x^2 and
z^2 = 21^2 + x^2
from the biggest triangle
(12+21)^2 = y^2 + z^2
substituting
(12+21)^2 = (12^2 + x^2) + (21^2 + x^2)
33^2 = 12^2 + 21^2 + 2x^2
2x^2 = (33^2 - 12^2 - 21^2)/2 = 504
x^2 = 252
x = 15.9
ans is B
Answer:
y - Solution
m - slope of line
b - y Intercept
Step-by-step explanation:
Answer:
1. Yes the parentheses are necessary. To find a fourth of her regular hours you must find the total amount she works during her regular hours.
2. 6
Step-by-step explanation:
(For the second question)
4+8= 12
12 × ½ = 12 ÷ 2
12÷2 = 6
Add up all the 'x's: (1 of them) plus (3 of them) = 4 'x's
Add up the just-plain-numbers: 93 + 18 = 111
Write them together: 4x + 111
Answer:
16 years
Step-by-step explanation:
Given

Required
Year they made loss

Start by differentiating P w.r.t t
Using first principle:

Equate to 0, in order to solve for t

So, we have:

Solve using quadratic equation

Where
a = 3, b = -48 and c = 20
So, we have:




Split:
or 
or 
or 
Approximate to whole numbers
or 
<em>Hence, they made loss 16 years after they took over</em>