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Lemur [1.5K]
4 years ago
7

What is the first answer to the first question

Mathematics
2 answers:
prohojiy [21]4 years ago
7 0

Answer:

2.99

Step-by-step explanation:

Mars2501 [29]4 years ago
4 0
All you need to do is do $23 divide by %13. (Which you are dividing 0.13 23.
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The two square pyramids are similar. The side length of the smaller pyramid is 3/4 the side length of the larger pyramid.Which f
vichka [17]
The answer is <span>A.9/16.

The ratio of areas of two similar squares is the square of the ratios of their similar side lengths. Since </span><span>the ratio of the smaller side length to the larger side length is 3/4, the ratio of areas of two similar squares is:
(3/4)</span>² = 3²/4² = 9/16.
7 0
3 years ago
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Math question
strojnjashka [21]

Answer:

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

Step-by-step explanation:

The volume (V), in cubic centimeters, and surface area (A_{s}), in square centimeters, formulas for the candle are described below:

V = \pi\cdot r^{2}\cdot h (1)

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h (2)

Where:

r - Radius, in centimeters.

h - Height, in centimeters.

By (1) we have an expression of the height in terms of the volume and the radius of the candle:

h = \frac{V}{\pi\cdot r^{2}}

By substitution in (2) we get the following formula:

A_{s} = 2\pi \cdot r^{2} + 2\pi\cdot r\cdot \left(\frac{V}{\pi\cdot r^{2}} \right)

A_{s} = 2\pi \cdot r^{2} +\frac{2\cdot V}{r}

Then, we derive the formulas for the First and Second Derivative Tests:

First Derivative Test

4\pi\cdot r -\frac{2\cdot V}{r^{2}} = 0

4\pi\cdot r^{3} - 2\cdot V = 0

2\pi\cdot r^{3} = V

r = \sqrt[3]{\frac{V}{2\pi} }

There is just one result, since volume is a positive variable.

Second Derivative Test

A_{s}'' = 4\pi + \frac{4\cdot V}{r^{3}}

If \left(r = \sqrt[3]{\frac{V}{2\pi}}\right):

A_{s} = 4\pi + \frac{4\cdot V}{\frac{V}{2\pi} }

A_{s} = 12\pi (which means that the critical value leads to a minimum)

If we know that V = 3217\,cm^{3}, then the dimensions for the minimum amount of plastic are:

r = \sqrt[3]{\frac{V}{2\pi} }

r = \sqrt[3]{\frac{3217\,cm^{3}}{2\pi}}

r = 8\,cm

h = \frac{V}{\pi\cdot r^{2}}

h = \frac{3217\,cm^{3}}{\pi\cdot (8\,cm)^{2}}

h = 16\,cm

And the amount of plastic needed to cover the outside of the candle for packaging is:

A_{s} = 2\pi\cdot r^{2} + 2\pi\cdot r \cdot h

A_{s} = 2\pi\cdot (8\,cm)^{2} + 2\pi\cdot (8\,cm)\cdot (16\,cm)

A_{s} \approx 1206.372\,cm^{2}

The candle has a radius of 8 centimeters and 16 centimeters and uses an amount of approximately 1206.372 square centimeters.

3 0
3 years ago
Which of the following statements is the best definition of a triptych?
slega [8]
It might be a. A painting on three panels. I am not sure, so don't blame me if I get it wrong.
8 0
3 years ago
Can someone help me with this math homework please!
Ghella [55]

Answer:

y=\frac{5}{2} \:x

Step-by-step explanation:

A line with the highest absolute value of slope has the steepest graph

from the option, the highest is 5/2 so, y = 5/2 x is your answer.

<u></u>

<u> OAmalOHopeO</u>

3 0
3 years ago
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A recipe requires 1/2 cup of sugar for every batch of cakes. How batches of cakes can be made with 5 1/2 cups of sugar?
Sedaia [141]

Answer:

11

Step-by-step explanation:

5.5/.5 = 11

7 0
3 years ago
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