The altitude of the kite:
h = 5 + 250 · sin 45°
h = 5 + 250 · √2 / 2
h = 5 + 250 · 0.7071 = 5 + 176.77 = 181.77 ≈ 182 ft
Answer: The altitude is 183 ft.
Answer:
Volume = 
cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is 
Rearranging the above equation, we get -
Volume of box is equal to product of base area of box and the height of the box -
Substituting the given area we get -
For maximum volume
Volume of the box
= 
= cubic centimeter
Answer:
x = -2.32, 10.32 to the nearest hundredth.
Step-by-step explanation:
x^2 - 8x - 24 = 0
x = [ - (-8) +/- sqrt (((-8)^2 - 4*1*(-24)] / 2
= 4 +/- sqrt160/2
= 4 +/- 6.3245
= -2.32, 10.32.
Answer:
7x²-12x-10
Step-by-step explanation:
(5x²-8x+1) + (2x²-4x-11)
combine like terms
7x²-12x-10
The cost of one slice of mushroom pizza is $2.00 dollars. This is solved by subtracting the equations:
X = cheese pizza
Y = mushroom pizza
(3X + 4Y = 12.50)
- (3X + 2Y = 8.50)
______________
2Y = 4.00
Y=2 or a slice of mushroom pizza is $2.00.
