Convert 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 = $58.07 = (8x/3 ft³)($ 3 17/27/ft³)
x = 5.99957 ft
Thus, the answer is d. 6 feet.
D. 6 feet is correct.
The area of the two-dimensional cross section that is parallel to face ABC.that is Area of Δ DEF = 84 ft²
Given : A triangular prism with some side measurement.
We have to find the area of the two-dimensional cross section that is parallel to face ABC.
Since, the cross section that is parallel to face ABC.
Since, face parallel to ABC is DEF .
And DEF is a triangle with ∠ E = 90°
So, Area of right angled triangle is 1/2 times base times height.
Base = 24 ft
and height is 7 ft
So, Area of Δ DEF = 1/2 times 24 times 7
Simplify , we have,
Area of Δ DEF = 84 ft²
Thus, The area of the two-dimensional cross section that is parallel to face ABC.that is Area of Δ DEF = 84 ft²
We can really construct this scenario precisely: the first toss can be anything, then the second toss can be all but what the first toss was, the third toss can be all but what the second toss was, etc., up through the ninth toss. The tenth toss, though, must be exactly what the ninth toss was. So, the probability is the product of the probabilities that the second to ninth tosses are all different than the previous toss and the tenth is the same of the ninth: 1 * 5/6 * 5/6 ... * 5/6 *1/6 = 5^8 / 6^9 = 0.039.