Let the width = x feet, then the length = 160 - x feet.
The area = x * (160 - x) = 4000
160x - x^2 = 4000
x^2 - 160x + 4000 = 0
x = [- (-160) +/- sqrt (160^2 - 3 * 1 * 4000)] / 2
x = 128.98 or 31.01
answer is length = 129 feet and width = 31 feet ( to nearest foot).
Let the width be 2w. Then the lenght is 5w. So:
(2w)(5w)=490
10w²=490
w²=49
w=±7
So, 2w=width=14 in; and 5w=length=35 in
☺☺☺☺
Answer:
The answer is 0.2. It is an irrational number with a repeating 2. It should have a line over the two to represent it repeating.
Step-by-step explanation:
First divide 2 by 9.
Use a calculator or do it by hand.
You get your answer.
Answer:
3 : 7 =>
Anna = $180
Raman = $420
1 : 4 =>
Anna = $120
Raman = $480
Step-by-step explanation:
<u>Shares when ratio is 3 : 7</u>
Anna : Raman = 3 : 7
Sum of ratio 10
Anna's share=
Raman 's share=
<u>Shares when ratio is 1 : 4</u>
Anna : Raman = 1 : 4
Sum of ratio = 5
Anna 's share =
Raman's share =
Answer:
Height of the streetlight ≈ 8 ft(nearest foot)
Step-by-step explanation:
The doc file displays the triangle formed from the illustration. x is the height of the street light. The distance from the gentle man to the street light is 10 ft. He has a height of 5.6 ft and the shadow formed on the ground is 24 ft long. The height of the street light can be calculated below.
The length of the tip of the shadow to the base of the street light is 34 ft. Similar triangle have equal ratio of their corresponding sides .
ab = 5.6 ft
The ratio of the base sides = 24/34
The ratio of the heights = 5.6/x
The two ratio are equal Therefore,
24/34 = 5.6/x
24x = 5.6 × 34
24x = 190.4
divide both side by 24
x = 190.4/24
x = 7.93333333333
x ≈ 8 ft
Height of the streetlight ≈ 8 ft(nearest foot)
