An architect plans to buy 8 stones spheres and 4 stone cylinders. for the same amount, she can buy 3 stone spheres and 7 stone cylinders. if one stone cylinder costs $38.83, how much does each stone sphere cost?

$23.298

Step-by-step explanation:

Let the cost of 1 sphere be x

Cost of 8 stone spheres = 8x

Cost of 3 stone spheres = 3x

Cost of 1 cylinder = $38.83

Cost of 4 stone cylinders =

Cost of 7 stone cylinders =  

Now Cost of 8 stones spheres and 4 stone cylinders = 8x+155.32

Cost of 3 stone spheres and 7 stone cylinders = 3x+271.81

Now we are given that  For the same amount, she can buy 3 stone spheres and 7 stone cylinders.

So,

Hence each stone sphere cost is $23.298

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,