64/2=32-12=20 Barry has 20 butterflies left in his collection
To calculate the perimeter, consider each side separately.
Right side: This is easiest since it's a vertical line - it's 7 units long.
Top side: If you look carefully, this side is really the hypotenuse of a triangle that is 1 unit tall and 6 units long. Using the Pythagorean Theorem, you can calculate the length of the hypotenuse to be 1^2 + 6^2 = c^2 --> c = 6.1
Left side: just like the top side, this side is the hypotenuse of a triangle that is 6 units tall and 6 units long. Pythagoras again: 6^2 + 6^2 = c^2 --> c = 8.5
Add these three numbers to get the perimeter: 7 + 6.1 + 8.5 = 21.6
Answer:
C. $300
Step-by-step explanation:
We have been given that Mr. Collins made 20 bird houses to sell at a carnival. He earns $15 for each bird house he sells.
To find the amount earned by Mr. Collin after selling all 20 bird houses, we need to multiply 20 by amount earned by selling each bird house.
Therefore, Mr. Collin will earn $300, if he sells all 20 bird houses.
Answer:
A. 10
B. 300
C. -3
D. -3,567
Step-by-step explanation:
im pretty sure this is coreect i apologize if not
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
