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Iteru [2.4K]
3 years ago
15

Two poles with different heights stand side-by-side. One pole is 4 meters tall, and casts a shadow that is 11 meters long. The o

ther pole is 6 meters tall. How long is the shadow of the second pole?
Mathematics
1 answer:
Monica [59]3 years ago
8 0

Answer:

The length of the shadow of the second pole is 16.5 meters

Step-by-step explanation:

Set up a proportional ratio (since the two poles stand side by side).

\frac{height}{shadow} =\frac{height}{shadow}

\frac{4}{11} =\frac{6}{x}

Cross multiply and solve for x (the shadow of the second pole):

4 · x = 11 · 6

4x = 66

x = 66 ÷ 4

x = 16.5 m

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Determine where V(z)=z4(2z−8)3 is increasing and decreasing.
Marat540 [252]

Answer and Explanation:

A function is said to be increasing, if the derivative of function is f’(x) > 0 on each point. A function is said to be decreasing if f”(x) < 0.

Let y = v (z) be differentiable on the interval (a, b). If two points z1 and z2 belongs to the interval (a, b) such that z1 < z2, then v (z1) ≤ v (z2), the function is increasing in this interval.

Similarly, the function y = v(z) is said to be decreasing, when it is differentiable on the interval (a , b).

Two points z1 and z2 Є (a, b) such that z1 > z2, then v (z1) ≥ v(z2). The function is decreasing on this interval.

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The derivative of function Y’ = v’(z) is positive, then the function is increasing.

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The derivative of function y’ is negative, then the function is decreasing.

8 0
3 years ago
Ashley increased the amount of water she drinks each day from 80oz to 87 oz.By what percentage did she increase her water intake
rewona [7]
87oz - 80oz = 7oz
7oz/80oz = 0.0875
0.0875 x 100% = 8.75%

Ashley increased her water intake by 8.75%.
7 0
3 years ago
Two rectangular picture frames have the same area of 45 square inches but have different side lengths. Frame A has a length of 6
kozerog [31]

Answer:

Frame A: 6 1/3 inches Frame B: 6 inches

Step-by-step explanation:

Area= length*width

So... 45 / 6 3/4= 6 1/3

45 / 7 1/2= 6

For the prediction you can put... since fram B is a longer length it will have a shorter width than frame A

3 0
3 years ago
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8 0
3 years ago
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Jenn is preparing brown rice. She needs 1 1 2 cups of brown rice and 2 cups of water. Jenn has only a 1 8 -cup measuring cup. Ho
horsena [70]

Answer:

She will need 12 1/8 cups of brown rice and 16 1/8 cups of water.

Step-by-step explanation:

You will want to convert 1 1/2 cups into an improper fraction, as well as 2 cups.

1 1/2 = 3/2

2 = 2/1

Now that you have done that you will then have to find a common denominator. You will need to list the multiples for 8 and lowest common factor so you don't have to simplify at the end.

The multiples of 8: 1, 2, 4, and 8

As shown above 2 is a multiple of 8. Therefore you will need to multiply the denominator by 4. This is because 2 x 4 equals 8. So now the denominator is 8. You will now need to multiply the numerator by 4 because that is what you multiplied the bottom by. It will be 3 x 4, and will therefore equal 12. The final improper fraction will be 12/8. The numerator then becomes the answer because that is the amount of 1/8 cups that you will need.

You then repeat this with 2/1. However you will need to multiply the denominator by a different number because it is 1. Looking at the multiples of 8 above, you will multiply the 1 by 8, therefore giving you 8 as the denominator. You will then multiply the numerator by 8 as well. This will result in an answer of 16. You will then have a 16/8. You will need 16 1/8 cups of water.

3 0
3 years ago
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