Answer:
AB = 7.07 units
BC = 8.06 units
AC = 12.04 units
Step-by-step explanation:
To find the length for each side of the triangle, apply the distance formula between each pair of vertices.
<u>AB</u>
<u />
<u>BC</u>
<u />
<u>AC</u>
To solve for radius use the volume formula and solve for r.
V = πr²h
320π = πr²(20)
320π/π = 20r²
320 = 20r²
320/20 = r²
16 = r²
√16 = r
4 = r
Answer is D. 4 feet.
Hope this helps :)
The mean is the average of a set of numbers.
To find the mean of this data, form a number set by gathering all the numbers.
We need to find the average weekly allowance. To do this, each number in the number set should be the different allowances, and their quantity is the number of students who earned that allowance.
In this case, there would be seven 0s, five 3s, seven 5s, three 6s, and two 8s.
The numbers are:
0, 0, 0, 0, 0, 0, 0, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 8, 8
To find the mean of these numbers, add then together then divide by the total amount of numbers.
This means doing:
(0 + 0 + 0 + 0 + 0 + 0 + 0 + 3 + 3 + 3 + 3 + 3 + 5 + 5 + 5 + 5 + 5 + 5 + 5 + 6 + 6 + 6 + 8 + 8) / 7 + 5 + 7 + 3 + 2
An easier formula could be used by using multiplication.
This would be [7(0) + 5(3) + 7(5) + 3(6) + 2(8)] / 24
This is a lot easier to read!
Now to solve it.
7 • 0 = 0
5 • 3 = 15
7 • 5 = 35
3 • 6 = 18
2 • 8 = 16
0 + 15 + 35 + 18 + 16 = 84
84 / 24 = 3.5
The mean is 3.5, or $3.50
This means that the average weekly allowance amongst these students is $3.50.
Hope this helps!
Answer:
about $1148.06
Step-by-step explanation:
Your goal is to find the area of the island of grass and multiply that area by the cost per square yard.
Area = radius * radius * pi
You are told that the <em>diameter = 15 yards</em>. We also know that the radius that we need is half of the diameter. <em><u>Radius = 7.5 yards</u></em>.
This means that the <em>Area = 7.5 * 7.5 * 3.14 = 176.625 square yards</em>
Then we multiply by the cost per square yard:
176.625 * 6.50 = 1148.06 is your answer
