Answer: a = 8
Step-by-step explanation:
Volume of a square based pyramid is given as
.
where a is the length of the side and h is the height.
Substituting into the formula , we have
V = 
128 =
/3
384=
X 6
Divide through by 6
384/6 = 
64 = 
Therefore :
a = 
a = 8
Answer:
18-4y
Step-by-step explanation:
18 -4y because your start with 18, and each day 4 get eaten. so day 2 (4*2) there will be 8 less, etc, etc
Answer:
Net power = 20kW
B.) $128
Step-by-step explanation:
Given that :
Coefficient of performance = 2.5
Rate = 20kW
The net power required to operate the heat pump :
Energy delivery rate / Coefficient of performance
= 20kW / 2.5
= 8kW
B.) Given that electricity cost equals $0.08 per kW
If pump operates for 200 hours
Total energy used in kWhr :
8kW * 200= 1600kW
Cost per kW = $0.08
1600 * 0.08 = $128
Answer:

Step-by-step explanation:
You need 2 things in order to solve this equation: a trig identity sheet and a unit circle.
You will find when you look on your trig identity sheet that

so we will make that replacement, getting everything in terms of sin:

Now we will get everything on one side of the equals sign, set it equal to 0, and solve it:

We can factor out the sin(theta), since it's common in both terms:

Because of the Zero Product Property, either
or

Look at the unit circle and find which values of theta have a sin ratio of 0 in the interval from 0 to 2pi. They are:

The next equation needs to first be solved for sin(theta):
so
and

Go back to your unit circle and find the values of theta where the sin is -1/2 in the interval. They are:
