Answer:
22.34 
Step-by-step explanation:
The area of a circle:
A = π
The problem gives the diameter of a circle, which is equal to 2*r.
If 5 1/3 = 2*r, then the radius is (16/3)/2 = 8/3.
Plugging this into the area equation,
A = π*
A = 
or approximately 22.34
Answer:
15% of 20 is 3
Step-by-step explanation:
because 15/100 can be reduced if you divide by 5 which will be 3/20. After you multiply 3/20 by 20/1. So 20*3 is 60 divided by 20 because 20*1 equals 20 you get 3.
Answer: 24
Step-by-step explanation:
Answer: 35 inches.
Step-by-step explanation:
We know that:
hypotenuse = 5*y in
cathetus 1 = (x + 8) in
cathetus 2 = (x + 3) in
The perimeter of the triangle is 76 inches, then:
5*y + (x + 8) + (x + 3) = 76
5*y + 2*x + 13 = 76
We also know that the length of the hypotenuse minus the length of the shorter leg is 17 in.
The shorter leg is x + 3, then:
5*y - (x + 3) = 17
Then we have the equations:
5*y + 2*x + 11 = 76
5*y - (x + 3) = 17
With only these two we can solve the system, first we need to isolate one of the variables in one of the equations, i will isolate x in the second equation.
x = 5*y - 3 - 17 = 5*y - 20
x = 5*y - 20
Now we can replace this in the other equation, we get:
5*y + 2*x + 11 = 76
5*y + 2*(5*y - 20) + 11 = 76
15*y - 40 + 13 = 76
15*y - 29 = 76
15*y = 76 + 29 = 105
and remember that the hypotenuse is equal to 5*y, then we want to get:
3*(5*y) = 105
5*y = 105/3 = 35
5*y = 35
Then te length of the hypotenuse is 35 inches.
Answer:133
Step-by-step explanation:
