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fomenos
3 years ago
7

What is the exact volume of the cylinder? Enter your answer in terms of pi

Mathematics
1 answer:
dimaraw [331]3 years ago
6 0
3.14 \times {1.5}^{2} \times 2.5
π×r2*h
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Solve the equation.<br> 4+ 14 = – 2(7x-9)
Tamiku [17]

Answer:

-63

Step-by-step explanation:

4 0
3 years ago
Right triangle ABC is on a coordinate plane. Segment AB is on the line y = 2 and is 3 units long. Point C is on the line x = -1.
IgorLugansk [536]

Answer:

The possible y-coordinate of point C is 6

Step-by-step explanation:

The coordinate of a point is given by (x,y) where x is the horizontal distance from the origin on the x axis and y is the vertical distance from the origin.

Given Segment AB is on the line y = 2 and is 3 units long and Segment AB is on the line y = 2 and is 3 units long. The area of triangle ABC is 6 square units.

The area of a triangle = 1/2 × base × height

6 = 1/2 × 3 × height

height = (2 × 6) / 3 = 4 units

Since point C is perpendicular to line y = 2, they coordinates is either 2 + 4 = 6 or 2 - 4 = -2

The coordinate of point C is either (-1, 6) or (-1, -2)

7 0
3 years ago
A Ferris wheel has a radius of 10 m, and the bottom of the wheel passes 1 m above the ground. If the Ferris wheel makes one comp
Morgarella [4.7K]

Answer:

y = 11 - 10cos(0.1\pi t)

Step-by-step explanation:

Suppose at t = 0 the person is 1m above the ground and going up

Knowing that the wheel completes 1 revolution every 20s and 1 revolution = 2π rad in angle, we can calculate the angular speed

2π / 20 = 0.1π rad/s

The height above ground would be the sum of the vertical distance from the ground to the bottom of the wheel and the vertical distance from the bottom of the wheel to the person, which is the wheel radius subtracted by the vertical distance of the person to the center of the wheel.

y = h_g + d_b = h_g + R - d_c (1)

where h_g = 1 is vertical distance from the ground to the bottom of the wheel, d_b is the vertical distance from the bottom of the wheel to the person, R = 10 is the wheel radius, d_c is the vertical distance of the person to the center of the wheel.

So solve for d_c in term of t, we just need to find the cosine of angle θ it has swept after time t and multiply it with R

d_c = Rcos(\theta(t)) = Rcos(\omega t) = 10cos(0.1\pi t)

Note that d_c is negative when angle θ gets between π/2 (90 degrees) and 3π/2 (270 degrees) but that is expected since it would mean adding the vertical distance to the wheel radius.

Therefore, if we plug this into equation (1) then

y = h_g + R - d_c = 1 + 10 - 10cos(0.1\pi t) = 11 - 10cos(0.1\pi t)

7 0
3 years ago
5x+4y=12. 3x + 6y=8. Help me plaeaee
Marta_Voda [28]

Answer:

x = - 20 / 3, y = 14 / 3

Step-by-step explanation:

In the picture

6 0
3 years ago
Whats 1+1 ita just to hard im trying but i can't figure it out​
Nat2105 [25]

Answer: 25

Step-by-step explanation:

because its funnier than 24.

3 0
3 years ago
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