Answer:
Step-by-step explanation:
we are asked to find the volume of solid that lies within both the cylinder
and
the sphere
Conversion from rectangular to cylindrical is
|J| =r
In cylindrical coordinates the volume is bounded by the cylinder r=5 and
Hence we can write volume as
Answer:
p(x) = 7x - 20
Step-by-step explanation:
A company makes a profit selling goods when the revenue taken in from the sales is greater than the cost of those goods: p(x) = r(x) - c(x) > 0.
In this case the revenue function is r(x) = 12x; the cost function is c(x) = 5x + 20, and the profit function is p(x) = 12x - (5x + 20), or:
p(x) = 12x - 5x - 20, or
p(x) = 7x - 20
6. Answer:
72.84
Step-by-step explanation:
To find the perimeter of the rectangle, just add the sides together except the one connected to the semicircle
12 + 15 + 15 = 42
The diameter of the semi circle is 12
πr + d = 6 * π + 12 ≈ 30.84
Add them together
42 + 30.85 = 72.84
7. Answer:
78.54
(78.5)
Step-by-step explanation:
The shape is a circle
Radius is 5
Diameter is 10 (diameter is always double of the radius)
π * r^2 = π * 25 cm^2 = 78.54 cm^2
8. Answer:
50.27
Step-by-step explanation:
The shape is a circle
Radius is 4
Diameter is 8 (diameter is always double of the radius)
π * r^2 = π * 16 ft^2 = 50.27 ft^2
(16 = 8 * 2)
I would try and clean them off? I’m not sure but you should probably head to a vet
This is the concept of probability and statistics, we are required to find the probability that when a 6-sided cube is rolled the outcome will be even sum or a sum that is multiple of 3.
The probability space is:
x=(1,2,3,4,5,6)
P(x)=1/6
P(even)=3/6=1/2
P(multiple of 3)=3/6=1/2
P(even or Multiple of 3)=1/2*1/2=1/4
