The area of a triangle is base * height / 2
The length of the base is 16 - 12 = 4
The height is 31 - 0 =0
Then the area is 4*31/2 = 62
Answer:
the answer of the question is D
Answer:
V = 540 inches ^3
Step-by-step explanation:
The area of the base is found be finding the other leg
a^2 +b^2 = c^2
12^2+b^2 = 15^2
144 +b^2 = 225
b^2 = 225-144
b^2=81
Take the square root of each side
b = 9
We can find the area of the triangle
B = 1/2 (9*12)
B =54
The Volume is given by
V = Bh
V = 54*10
V = 540 inches ^3
Radius of 1 button = r = 3x
Fabric required to cover 1 button = Area of the circle
= 
= 
= 
Total number of buttons = x
Fabric required to cover 1 button =
Fabric required to cover x buttons = 
Hence, fabric required to cover x buttons
sq. units
Answer: D (5/2, -17/4)
Step-by-step explanation: Using elimination your goal is to get rid or 1 variable so you can solve for the one that's left. By adding the -2y and 2y you will get 0. You will also add the 3x+x (4x) and -1+11 (10). You have now gotten rid of the y and have 4x=10. By dividing each side by 4 we now know x =2.5. D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11
2.5-2y=11
-2y=8.5 Answer D (5/2,-17/4) y=-17/4 (4.25)