The choices are not attached but we can solve the problem from the given information
Answer:
The expression can be used to find h is 
The height of the cone is 
cm
Step-by-step explanation:
The formula of the volume of the cone is V = 
π r² h, where
- r is the radius of its base
- h is the height of it
Let us find the height of the cone from the formula of its volume
∵ V = π r² h
- Multiply both sides by 3
∴ 3 V = π r² h
- Divide both sides by π r²
∴ 
- Switch the two sides
∴
The expression can be used to find h is
∵ The radius of the cone is 7 cm
∴ r = 7
∵ The volume of the cone is 147 cm³
∴ V = 147
- Substitute them in the expression of the height to find it
∵ 
∴ h = cm
The height of the cone is cm
Answer:
The answer to the nearest hundredth is 0.07 liters per minute
Step-by-step explanation:
In this question, we are told to express the given metric in liters per minute.
The key to answering this question, is to
have the given measurements in the metric in which we want to have the answer.
Hence, we do this by converting milliliters to liters and seconds to minute.
Let’s start with milliliters;
Mathematically;
1000 milliliters = 1 liters
10 milliliters = x liters
x * 1000 = 10 * 1
x = 10/1000
x = 1/100
x = 0.01 liters
For the seconds;
We need to convert the seconds to minutes;
Mathematically;
60 seconds = 1 minute
8.5 seconds = y minutes
60 * y = 8.5 * 1
y = 8.5/60
y = 0.14167 minutes
Now, our rate of flow is liters per minute, that means we have to divide the volume by the time;
Hence, we have ;
0.01/0.14167 = 0.070588235294
Which to the nearest hundredth is 0.07
Answer:
The domains are;
0 < x < 3 for f(x) = 15
3 ≤ x ≤ 7 for f(x) = 22
7 < x ≤ 15 for f(x) = 30
Step-by-step explanation:
The duration the amusement park is opened, t = 15 hours
The number of days the amusement is opened = 7 days a week
The prices for the admission are;
x < 3 hours = $15
3 ≤ x ≤ 7 hours = $22
x > 7 hours = $30
The functions are;
f(x) = 15 when x < 3; The domain = 0 < x < 3
f(x) = 22 when 3 ≤ x ≤ 7; The domain = 3 ≤ x ≤ 7
f(x) = 30 when x > 7; The domain = 7 < x ≤ 15.
