Answer: B)
Step-by-step explanation:
If y = z then replace z for y in the second equation.
2 y + z = 12
2y + y = 12
3y = 12
y = 4
This also means z = 4.
Insert both of these values into the first equation:
x + y + z = 8 + 2sqr3
x + 4 + 4 = 8 + 2sqr3
x + 8 = 8 + 2sqr3
x = 2sqr3
Answer:
50.24 yd^2
Step-by-step explanation:
The area of a circle can be found using:

First, we need to find the radius. We have the diameter. The diameter is twice the radius, or
d=2r
We know that the diameter is 8, so we can substitute 8 in for d
8=2r
Since we are trying to find r, we need to get r by itself. To do this, divide both sides by 2.
8/2=2r/2
4=r
Now we know the radius, and can substitute 4 in for r. Also, we can substitute 3.14 in for pi.

a=3.14*4^2
Solve the exponent
a=3.14*16
Multiply
a=50.24
The area is 50.24 yards^2
Answer:
The owner's profit for a ten-day period is $4675
Step-by-step explanation:
Each day a small business owner sells 200 pizza slices for $1.50 per slice and 85 sandwiches at $3.50 each.
Let's find the revenue.
Revenue = 200($1.50) + 85($3.50)
= $300 + $297.50
Revenue per day = $597.50
Revenue for 10 days = 10($597.50) = $5975
Business expenses per day = $130
Business expenses for 10 days = 10($130) = $1300
Now let's find the profit.
Profit for 10 days = Revenue - Expense
= $5975 - $1300
= $4675
So the owner's profit for a ten-day period is $4675
Answer:
90
Step-by-step explanation: A right triangle will always add up to 180 seeing that the other two add up to 90 the last side is 90