Answer:
<u>x = 52°</u>
Step-by-step explanation:
The angles add up to 360°.
- x + 98 + x + 91 + x + 15 = 360
- 3x + 204 = 360
- 3x = 156
- <u>x = 52°</u>
Maria will make 10% on 5,000 for the motorcycle and 15% on 25,000 for the car she sold
That is an arithmetic sequence of the form:
a(n)=2n-1
Now the sum of an arithmetic sequence is just the average of the first and last terms times the number of terms...
We know the first term is 1, let's find the last term...
a(1000)=2(1000)-1=1999
So the sum of that sequence is:
1000(1999+1)/2
1,000,000
Volume of a cylinder is given by πr^2h
Volume of the cylindrical water cooler is π x (12/2)^2 x 15 = 3.14 x 36 x 15 = 1,695.6 in^3
Volume of water in the cylindrical cooler is 1,695.6 / 2 = 847.8 in^2
Number of drinking cups that can be filled from the cooler is 847.8/20.14 = 42 cups.