Answer:
8 inches
Step-by-step explanation:
Surface area of a prism is:
S = 2A + Ph
where A is the area of the base, P is the perimeter of the base, and h is the height of the prism.
The base is a square, so A = s² and P = 4s:
S = 2s² + 4sh
Given that S = 512 and h = 12:
512 = 2s² + 4s(12)
512 = 2s² + 48s
256 = s² + 24s
0 = s² + 24s - 256
0 = (s + 32) (s - 8)
s = -32, s = 8
Since s must be positive, s = 8 inches.
Answer:
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Step-by-step explanation:
Let the number of topping be x.
Cost of 1 topping = $1.50
Cost of x topping = x*Cost of 1 topping = $1.5*x = $1.5x
Cost of cheese pizza = $7.00
Total cost for cheese pizza for x topping = Cost of cheese pizza + Cost of x topping
Total cost for cheese pizza for x topping = 7 + 1.5x
Given that The total charge for Megan's pizza was $11.50
thus,
7 + 1.5x = 11.50
1.5x = 11.50 - 7
1.5x = 4.5
x = 4.5/1.5 = 3
Thus, there were three toppings
______________________________________
Variable
x which stands for no. of toppings on pizza
equation
7 + 1.5x = 11.50
solution
the no. of toppings = 3
Answer:
x ≈ 8.39
Step-by-step explanation:
You'd have to use the tangent ratio in order to solve for x.
tangent ratio = opposite/adjacent
tan 50° = 10/x
x = 10/tan 50°
x = 8.39099631177
≈ 8.39
Answer: 392
Work:
7×8+3×8×14
56+24×14
56+336
392
What kind of anle PICTURE please