everythinguniversal9

Thanks CPhill !! 

6/7 is the correct answer

😏😏

Thanks for your explanation, but I'm looking for a faster way to do it! Thanks for the help!

😏😏

Wow CPhill, I had no idea how to solve this... Congrats!

Thanks so much CPhill..

I couldn't solve that one at all...

😏😏

You're welcome, all of you

😏😏

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

Step-by-step explanation: 

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

Since 1 US dollar is 108 yen, simply do 200 yen divided by 108 yen.

That roughly equals 1.85 US dollars. 

😏😏

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.