To solve this question, let's find the surface area of the entire pie and then divide it by 6 for each slice.
The area of a circle is pi*r^2. We are given the diameter, so divide that by 2 to get the radius.
Now that you have the area, divide by 6. That is the area of each slice. The problem asks for the area of 2 slices though, so multiply that by 2.
Answer:
98 ft and 38 ft
Step-by-step explanation:
We know that the initial length of the piece is 136 feet
Then the piece is cut into two pieces.
Let's call x the length of the first piece of cable and call z the length of the second piece of cable.
So we know that

and

Now we substitute the second equation in the first one and solve for the variable z





Now we find the length x



Answer:
Account 1:
3(2500 × 4/100) = 300
Account 2,
2500(1.035)³ - 2500 = 271.7946875
Slightly surprised because the riskier one should yield higher gain
Ok for this problem, there are 2 equations representing hall A and hall B
hall A: y=76x+862 where x=number of dinners and y=total cost
hall B: y=75x+894 for the same variables
To find where the 2 meet, simply substitute one equation into the other, creating: 76x+862=75x+894
Solving this, we find that x=32, so at 32 guests, the cost would be the same
For part 2, put the answer for part 1 into either equation from the start, so y=76(32)+862, or y=3294
And we already found that x=32, which represents the # of guests