Answer: Vertex (-2,-15) and therefore the axis of sym will be -2
Step-by-step explanation: Using -b/2a you can deduce that 4x^2 is a, 16x is b and 1 is c. So -b/2a = -16/8 = -2. Then you plug -2 for y and yu should get -15. Then x will be your axis of symetry to x=-2
Answer:
c: 1,335 yd³
Step-by-step explanation:
The formula for volume of a cylinder is V = πr²h where r is the radius of the base circle, and h is the height of the cylinder
We are given r = 5, and h = 17. Plug them in and solve for V...
V = π(5²)(17)
V = π(25)(17)
V = 425π
V = 425(3.14) = 1,334.5 yd³,
so 1,335 yd³ rounded to the nearest cubic yard
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
Answer:
1kg ghee is left behind
Step-by-step explanation:
Here, we are to calculate the amount of ghee left.
Firstly, 2/4 was consumed for preparing medicine. This is same as 1/2
The amount used in preparing medicine is thus 1/2 * 20kg = 10kg
amount remaining = 20kg - 10kg = 10kg
She also use 2/5 and 1/2 of the remainder.
The total amount used is 2/5 + 1/2 = 9/10
The amount used is thus 9/10 * 10 = 9kg
what is left is thus 10kg -9kg = 1 kg
