Need given a triangle with leg a = 8 and the hypotenuse c = 10, find the the length of leg b.

B= 6

Step-by-step explanation:

a^2 + b^2= c^2 hypotenuse formula

Plug in what you have

8^2 + b^2= 10^2

PEMDAS

64 +b^2= 100

combine like terms

b^2=36

divide

b=6

6

Step-by-step explanation:

The Pythagorean theorem states that

8*8+B*B=10*10

64-100=B*B

√36=B

6=B

a) at most means it can cost $12 or less

so the inequality sign would be ≤

you would then need to multiply the number of toppings by the 0.35 for each one and add it to the cost of the cheese pizza.

the equation would be 9.99 + 0.35x ≤ 12

b) using the above equation:

9.99 + 0.35x ≤ 12

subtract 9.99 from each side:

0.35x ≤2.01

divide both sides by 0.35:

x ≤ 2.01 / 0.35

x ≤5.74

at most you could have 5 toppings.

the 5 topping pizza would cost: 0.35 x 5 = 1.75 + 9.99 = $11.74