<span>c. 4.6
21 X .22= 4.6
Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.</span>
<span> Honor roll Not on honor roll Total
Received math class requested 315 64 379
Did not get math class requested 41 80 121
Total 356 144 500
Honor roll: request granted: 315/356 = 0.88 x 100% = 88%
Not Honor roll request granted: 64/144 = 0.44 x 100% = 44%
Honor roll students were given preference in granting request than those not in the honor roll.</span>
Answer:

Step-by-step explanation:
The length of the base is the distance between the points 4+2i and 10+4i, so

The middle point of the base is placed at point

The length of the height is the distance between the points 5+9i and 7+3i

So, the area of the triangle is

Answer:
55.5 square feet
Step-by-step explanation:
so the dog house consists of 4 walls, two roof sections, and two triangle bits to make the roof pointy (I'm sure they have a name but I don't know what it is lol) Of the walls there would be 2 of the longer walls and 2 of the shorther ones. Knowing this we just have to add together the area of each part to find the total surface area.
So starting with the walls:
two of them are 4 feet by 2 feet.
The area of a rectangle is just length x width
so those two would have an area of 8 ft^2
and the other two are 3 feet by 2 feet so they would have an area of 6 ft^2
the roof sections are also rectangles with dimensions of 4 feet by 2.5 feet
4x2.5=10 so each side of the roof has a surface area of 10 ft^2
now the triangle parts have a base of 3 feet and a height of 2.5 feet
the formula for area of a triangle is base x height / 2
3x2.5=7.5
7.5/2= 3.75
now we add them together
8+8+6+6+10+10+3.75+3.75=55.5
so the total surface area is 55.5 square ft
Answer:make sure the value of x is positive
-check the solution to ensure it is a rational number
Step-by-step explanation: .