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olga nikolaevna [1]
3 years ago
10

Use 3.14 on all questions on this text that use pi.

Mathematics
1 answer:
alexira [117]3 years ago
6 0

Answer:

V_{cylinder}=3584\pi \thinspace yd^3

Step-by-step explanation:

Volume of a cylinder is just the area of the circle-surface multiplied by the height of the cylinder.

V_{cylinder}=\pi r^2 h

We're given that the radius=8 and height=56

V_{cylinder}=\pi r^2 h

V_{cylinder}=\pi (8)^2 (56)

V_{cylinder}=3584\pi \thinspace yd^3

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37.5 is a 20% markup from which number? Explain how you found that number?
Sloan [31]

Answer: 31.25

Step-by-step explanation:

Okie dokie, so if something is marked up by 20% it means, it is 120% the original number right?

So we can convert 120% into 1.2 to make solving this problem easier. :)

So if we want to find the original number, all we have to do is divide 37.5 by 1.2.

This gets us 31.25.

5 0
3 years ago
Read 2 more answers
1. Evaluate:<br> 4(5) +3(7-2)<br> a. 25<br> C. 18<br> d. 40<br> e. -40
Brrunno [24]

Answer:

35

Step-by-step explanation:

Simplify the following:

4×5 + 3 (7 - 2)

7 - 2 = 5:

4×5 + 3×5

4×5 = 20:

20 + 3×5

3×5 = 15:

20 + 15

| 2 | 0

+ | 1 | 5

| 3 | 5:

Answer: 35

6 0
3 years ago
sandy had some pineapples at her house. she went to the store and bought 14 more. when she got home she had a total of 43 pineap
EleoNora [17]

She had 29 Pineapples

29+14=43


6 0
3 years ago
Read 2 more answers
Can someone please help me it’s timing me I’m confused
padilas [110]

Answer:

Slope is -3

Step-by-step explanation:

(0, -2) and (1, -5)

m= (y2-y1)/(x2-x1)

m= (-5+2)/(1-0)

m=( -3)/1

m = -3

7 0
3 years ago
A Ferris wheel has a diameter of 380 feet and the center of the wheel is 195 feet above the ground. The wheel makes a complete t
Aleksandr [31]

Answer:

<u><em>y = -190 cos(π t / 120) + 195</em></u>

Step-by-step explanation:

<em>General form of a sinusoidal function: y = A cos(Bt - C) + D </em>

<em> </em>

<em>Now generally a cosine function starts at the maximum value, so to start at the minimum value, flip the cosine function by making it negative. </em>

<em> </em>

<em>A is the amplitude of the curve and will be the radius of the ferris wheel. Therefore, A = 380 / 2 = 190 feet. </em>

<em> </em>

<em> 2π / B is the period of the curve and will be the time to complete one full rotation. The time to complete one full rotation is given as 4 minutes. Convert this into seconds to get period = 4 minutes * (60 seconds / minute) = 240 seconds. Therefore, B = 2π / period = 2π / 240 seconds = π / 120. </em>

<em> </em>

<em> C/B is the phase shift, or horizontal shift of the graph. Since the negative cosine function already starts at the minimum value, there is no phase shift so C/B = 0, meaning C = 0. </em>

<em> </em>

<em> D is the vertical shift and will be the height of the center of the ferris wheel. Therefore, D = 195 feet. </em>

<em> </em>

<em> Your final function will be:</em>

<u><em>y = -190 cos(π t / 120) + 195</em></u>

7 0
3 years ago
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