I’m confused on this question, please help me. (Ignore the black coloring, sorry.)

Mathematics

1 answer:

neonofarm [45]3 years ago

3 0

To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.

Here are the steps:

1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440

2. 0.55 x 1440 (55% are chocolate) = 792 chocolate

3. 1440 - 792 (the remaining number of cupcakes)=648

4. 1/3(33 1/3%) x 648 = 216 red velvet

5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes

Chocolate-792
Red velvet - 216
Vanilla - 432

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Solve the proportion.

Lostsunrise [7]

Answer:

r = 9

Step-by-step explanation:

cross multiply

9 * r = 81

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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

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