First the cost of $98 /yd³ by the conversion factor that
1 yd³ = 27 ft³.
($98 /yd³) (1 yd³ / 27 ft³) = $ 3 17/27/ft³
Let x be the width, the volume of the rectangular portion of the driveway is,
V = (8 ft) (1/3 ft) x = 8x/3 ft³
Using the given total cost of the protion,
C = $58.07 = (8x/3 ft³)(<span>$ 3 17/27/ft³)
x = 5.99957 ft
the answer is 6 feet. (rounded)</span>
By using trigonometric relations, we will find that:
sin(θ) = (√33)/7 = √(33/49)
<h3>How to find the value of the sine?</h3>
Remember that for a right triangle, we have the relations:
cos(a) = (adjacent cathetus)/(hypotenuse)
sin(a) = (opposite cathetus)/(hypotenuse).
Here we know that:
cos(θ) = 4/7
Then we can say that we have a triangle with an adjacent cathetus of 4 units and a hypotenuse of 7 units. Now we need to find the other cathetus.
opposite cathetus = √(7^2 - 4^2) = √33
Then we can write:
sin(θ) = (√33)/7 = √(33/49)
If you want to learn more about trigonometry.
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Jan. = -15
Feb. = +10
Mar. = -5
Apr. = +50
May = -25
June = -20
⭐ Answered by Hyperrspace (Ace) ⭐
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5p-14=8p+19
8p-5p = -3p
-3p-14=18
14+18 = 33
33/-3=-11