Answer: x = 9
Step-by-Step Solution:
Hypotenuse = 15 units
Base = 12 units
Altitude = x units
Using Pythagoras Theorem,
=> Hypotenuse^2 = Base^2 + Altitude^2
(15)^2 = (12)^2 + x^2
225 = 144 + x^2
225 - 144 = x^2
81 = x^2
x^2 = 81
x = √81
=> x = 9
Therefore, Altitude = 9 units
Answer:
The maximum number of sandwiches she can buy is 24.
Step-by-step explanation:
We can create a function to represent the cost of her team's lunch in function of the number of people in the team. We have:

Since she needs to stay on budget, the cost has to be less or equal to 170, therefore:

Since she can't buy 0.8 sandwiches, the maximum number of sandwiches she can buy is 24.
Answer:
V = PI*r2h
In plain english the volume of a cylinder can be calculated by squaring the radius, multiplying that value by PI, then multiplying by the height. You can also think of it as finding the area of a flat circle (PI * radius squared) and multiplying by the height to find volume.
Here is a step-by-step case that illustrates how to find the volume of a cylinder with a radius of 3 inches and a height of 5 inches. In this example PI will be 3.14.
V = pi * r2 * h
= pi * 32 * 5
= pi * 9 * 5
= 3.14 * 45
= 141.37 cubic inches
Step-by-step explanation:
The formula for the volume of a cylinder is V=Bh or V=πr2h . The radius of the cylinder is 8 cm and the height is 15 cm.