Answer:
11.2
Step-by-step explanation:
First draw an imaginary straight line to separate the two shapes.
You will have a side of 10 in the traingle
And a side of 13 - 8 =5
Then
Using pythagoras theorem
Sqrt(10^2+5^2)=11.180
Answer:
interest earned= 292.878
the future value of an annuity= 892.878
Step-by-step explanation:
Given Data:
Interest rate= 5%
time,t = 8 years
Quarterly payment, P= 600
n= 4 as quarterly
At the end of 8 years, final investment A= ?
As per the interest formula
A= P(1+r/n)^nt
= 600(1+0.05/4)^32
= 892.878
Interest earned = A-P
= 892.878-600
= 292.878 !
Answer:

b = (T - a - c - d) / 3
Step-by-step explanation:
Let T be the total number of points required to advance.
a, c and d are points scored in the local matches, and b is the number of points scored in the district match. If b is worth 3 times as much as the other matches, the total number of points is given by:

Isolate b in order to find out how many points they need in the district match:

They need to score (T - a - c - d)/3, in the district match in order to win.
Answer:
Just under 62 inches.
Step by Step:
4.9×2×Pi= 30.7876080052. x2= 61.5752160104
This question is easy if you think about it. First get the area of the rectangular part of the shape and then find area of the two semi-circles then add them together.
First, let's solve for the rectangle because it's easier.
Area for finding a rectangle A = w * l
A = 23 * 37
A = 851
Now for the semi-circle. First use the equation for finding the area of a circle which is A = Pi * r^2. We'll use 3.14 for Pi.
We know the diameter is 23. And to get the radius we just half it because the radius is half of the diameter.
23 / 2 = 11.5
A = 3.14 * 11.5^2
A = 3.14 * <span>132.25
</span>A = <span>415.265
</span>
Now we have the total area for both semi-circles. Because if we half 415.265 then add the other semi-circle's area it will be the same and adding them up will result in 415.265.
Now add up 851 and 415.265.
851 + 415.265 = <span>1266.265</span>