I'd start by writing an equation for each of the right triangles. (Pythagorean theorem)
y² + 9² = z²
x² + z² = (4+9)²
4² + y² = x²
we want to find z so combine the equations by substituting the other variables x,y out.
substitute y² for (x² - 4²) in 1st equation.
(x² - 4²) + 9² = z²
now by rearranging the 2nd equation we can substitute x² for (13² - z²)
(13² - z²) - 4² + 9² = z²
169 - z² - 16 + 81 = z²
234 - z² = z²
234 = 2z²
234/2 = z²
117 = z²
√(117) = z
√(9*13) = z
3√(13) = z
13 goes in the box
Answer: 52 weeks
Step-by-step explanation:
There are 52 weeks in a year, so she should divide her number by 52.
Answer:
35.5 feet
Step-by-step explanation:
x + x + 3 + x + 5 = 99.5
3x + 8 = 99.5
3x = 91.5
x = 30.5
Largest side = (x+5)
30.5 + 5 = 35.5 feet
Answer:
D. multiplying the area of the base by the height
Calculate the area of the base (which is a circle) by using the equation πr². Then, multiply the area of the base by the height of the cylinder to find the volume.
Answer : The amount of margarine needed is 1 kg.
Step-by-step explanation :
First we have to convert volume of syrup from mL to L.
Conversion used:
1 L = 1000 mL
or, 1 mL = 0.001 L
So, 225 mL = 0.225 L
Now we have to calculate the amount of margarine needed.
As, 0.225 L of syrup needed 150 g of margarine
So, 1.8 L of syrup needed 
of margarine
Amount of margarine needed = 1000 g = 1 kg (1 kg = 1000 g)
Therefore, the amount of margarine needed is 1 kg.
