Step-by-step explanation:
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Answer:
77.74 square feet
Step-by-step explanation:
1. We have to keep the triangle and the rectangle apart and find the area of each separately then add the areas together.
The formula for the area of a rectangle is height x width = area
So, 6.5 feet x 10.4 feet = 67.6 feet squared
The formula for the area of a triangle is height x width x (1/2) = area
So, 5.2 feet x 3.9 feet x (1/2) = 10.14 feet squared
Now, add the two areas together.
10.14 square feet + 67.6 square feet = 77.74 square feet
The measures of spread include the range, quartiles and the interquartile range, variance and standard deviation. Let's consider each one by one.
<u>Interquartile Range: </u>
Given the Data -> First Quartile = 2, Third Quartile = 5
Interquartile Range = 5 - 2 = 3
<u>Range:</u> 8 - 1 = 7
<u>Variance: </u>
We start by determining the mean,

n = number of numbers in the set
Solving for the sum of squares is a long process, so I will skip over that portion and go right into solving for the variance.

5.3
<u>Standard Deviation</u>
We take the square root of the variance,

2.3
If you are not familiar with variance and standard deviation, just leave it.
Triangles add to 180° and there is already 100° shown inside of the triangle (30° plus 70° = 100°). 180° -100° = 80°, which is x. X and y are vertical angles, so y is also 80°. The answer is B.
Answer:
the height of the front doorstep is 12 cm
angle given is 15 degree
so, the length of the ramp wooden peice should be 44.7
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