When you cut along the diagonal, a right triangle is formed where the hypotenuse is the diagonal and the legs are the length and width of the rectangle (10 and 15 in this case)
Now use the pythagorean theorem to solve
10^2+15^2=325=c^2
c= approx 18.02775=length of the diagonal
Answer:
4/11 of 2 1/2 = 4/11 * 5/2 = 20 / 22 = 10/11
a common denominator of 11 and 4 is 44
So 40 / 44 - 33 / 44 = 7/44
Check 4/11 * 2.5 = .909
3/4 = .75
difference = .909 - .750 = .159
7/44 = .159
Answer:
w = 18
Step-by-step explanation:
Given
(w + 18) = 12 ← distribute parenthesis on left side
w + 6 = 12 ( subtract 6 from both sides )
w = 6 ( multiply both sides by 3 to clear the fraction )
w = 18
Answer:
S = 1.25
B = 3.50
Step-by-step explanation:
I assume you need to know how much a burger and how much a soda is.
Basically it's a system of equations.
5B + 9S = 28.75
10B + 10S = 47.5
There are a few ways to do this, if you like I can show another, but this is how I usually solve a normal system of equations.
First solve for one variable in one equation. I am going to choose to solve for B in 10B + 10S = 47.5
10B + 10S = 47.5 (divide the whole thing by 10)
B + S = 4.75 (subtract S from both sides)
B = 4.75 - S
Now plug this B into the other equation.
5B + 9S = 28.75
5(4.75 - S) + 9S = 28.75
23.75 - 5S + 9S = 28.75 (Now just solve for S
4S = 5
S = 5/4
S = 1.25
Now plug THIS back into the first one.
B = 4.75 - S
B = 4.75 - 1.25
B = 3.50