Suppose
h=height of street light
x=distance of woman from pole, 20-x=distance of man from pole
tan 24=x/h=0.445
tan 28=(20-x)/h=0.532
re-arranging the above we get:
x=0.445h
20-x=0.532h
thus the value of h will be given by:
20=0.977h
hence
h=20.5 ft
substituting the values we get:
x=woman's position =9.1 ft from the pole and the man is 10.9 ft away.
Answer:
83 in.^2
Step-by-step explanation:
The entire polygon consists of a rectangle with length 8 in. and width 5 in., a triangle with base 8 in. and height 7 in., and another triangle with base 5 in. and height 6 in.
The total are is the sum of the area of the rectangle and the two triangles.
area = area of rectangle + area of first triangle + area of second triangle
area = LW + bh/2 (for the first triangle) + bh/2 (for the second triangle)
area = 8 in. * 5 in. + 8 in. * 7 in. / 2 + 5 in. * 6 in. / 2
area = 40 in.^2 + 28 in.^2 + 15 in.^2
area = 83 in.^2
Price of the dining set = $785
Sales Tax = 7% of $785
Sales Tax = 0.07 x 785
Sales Tax = $54.95
Total price = $785 + $54.95 = $839.95
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Answer: The cost to purchase the dining set is $839.95.
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Answer:
rational
Step-by-step explanation:
Hopes this helps:
Answer: 32
1. Simplify 8^3 to 512.
512 / 2^4
2. Simplify 2^4 to 16.
512 / 16
3. Simplify 513 / 16 to 32.
32
