Answer:
Step-by-step explanation:
y=(x-a)²+h
vertex (a,h)
axis of symmetry x-a=0 or x=a
x-intercepts (none)
y-intercepts (none)
graph upper parabola (don't understand what it requires )
Domain (-∞,∞)
Range [0,∞)
Question:
A boy makes a cone of diameter 28 cm without a base. He then cuts a smaller cone of diameter 20 cm from the cone. He used the bottom part as a lampshade. If the height of the lampshade is 11cm,
(a) find the volume of the whole cone.
(b) find in cm2, the area of the material used to make the lampshade.
Answer:
(a) V ≈ 16420.1
(b) A ≈ 2690.1 cm²
Step-by-step explanation:
<u>Solution for (a)</u>
Formula: The formula for the volume of a cone is V = 1/3 hπr².
V= πr² h
/3 = π × 28/ 2 × 20/ 3 ≈ 16420.0576
16420.0576 in nearest tenths is 16420.1
Therefore, the volume of the whole cone is 16420.1 cm²
<u>Solution for (b)</u>
Formula: A = πrl + πr2.
l = r² + h²
Solving for A
A = πr (r + h²+ r²) = π × 20 × (20 + 112 + 202) ≈ 2690.80077
2690.80077 In nearest tenths, is 2690.1
Therefore, the area of the material used to make the lampshade is 2690.1 cm²
Distance traveled in one minute = 
miles
As the speed is constant, after 1 hour or 60 minutes, its speed will be =
= 45 miles
Hence, the speed of the car is 45 miles per hour.
Answer:
35 cm
Step-by-step explanation:
Diameter of small pizza = 16
Let Diameter of large pizza = x
Diameter of small pizza = 2/5(x) + 2
2/5(x) + 2 = 16
(2x / 5) + 2 = 16
2x / 5 = 16 - 2
2x / 5 = 14
multiply both sides by 5
2x = 14 * 5
2x = 70
Divide both sides by 2
x = 70/2
x = 35
Diameter of large pizza = 35 mm
