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Firdavs [7]
3 years ago
5

A hockey puck has a diameter of 7.6 cm and a height of 3.4 cm. What is the volume of a cylindrical package containing six pucks?

Express your answer to the nearest cubic centimeter.
Mathematics
1 answer:
alexandr402 [8]3 years ago
5 0

Answer:

924.96\ cm^3

Step-by-step explanation:

Given that,

The diameter of a hockey puck, d = 7.6 cm

Height, h = 3.4 cm

We need to find the volume of the volume of a cylindrical package containing six pucks.

Volume of 1 puck,

V=\pi r^2 h\\\\=3.14\times (3.8)^2\times 3.4\\\\=154.16\ cm^3

Volume of 6 pucks,

V=6\times 154.16\ cm^3\\\\=924.96\ cm^3

So, the volume of the 6 puck is 924.96\ cm^3.

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Identify the domain of the exponential function shown in the following graph. Explain how you know.
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Answer:

The domain of the function is R i.e. any real value.

Step-by-step explanation:

The given figure is a graph on the coordinate plane of the function y = 10^{x}

Now, the domain of a function means that the values of x (Independent variable) for which the function is valid i.e. the y values are real.

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Therefore, the domain of the function is R i.e. any real value. (Answer)

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Given the figure below, which of the following points name a line segment, a line, or a ray?
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4 0
3 years ago
PLSS HELP ME I NEED IT ASAPP TYSM ILY
Hatshy [7]

Answers:

  • He needs <u>   310   </u> grams of the 99% cocoa brand
  • He needs <u>    590    </u>grams of the 70% cocoa brand

======================================================

Explanation:

Let's label the two brands of chocolate as A and B

  • Brand A is 99% cocoa
  • Brand B is 70% cocoa

Furthermore, define these variables

  • x = amount of brand A
  • y = amount of brand B

The amounts are in grams.

The two amounts must add to 900 grams, so x+y = 900. This can be solved to y = 900-x which we'll use later.

Since we have x grams of brand A, and brand A has 99% cocoa, this means 0.99x represents the amount of pure cocoa from brand A.

Similarly, brand B contributes another 0.70y grams of pure cocoa

Overall, we're dealing with 0.99x+0.70y grams of pure cocoa from the two brands mixed together.

---------------

Rolf needs 900 grams of final product. He wants it to be 80% cocoa, which means 80% of the 900 is going to be pure cocoa

80% of 900 = 0.80*900 = 720

Rolf wants 720 grams of pure cocoa after mixing the two brands together.

So this leads to the second equation: 0.99x+0.70y = 720

---------------

Let's apply substitution to replace y with 900-x

0.99x+0.70y = 720

0.99x+0.70( y ) = 720

0.99x + 0.70( 900-x ) = 720

At this point, we have a single variable in which we can isolate x fully.

0.99x + 0.70( 900-x ) = 720

0.99x + 0.70( 900) + 0.70(-x) = 720

0.99x + 630 - 0.70x = 720

0.29x = 720-630

0.29x = 90

x = 90/(0.29)

x = 310.344827586 which is approximate

Rounding to the nearest full gram, we get x = 310

Use this x value to find y

y = 900-x

y = 900-310.344827586

y = 589.655172414 which is also approximate

y = 590 when rounding to the nearest whole number

---------------

In summary, we have

  • x = 310
  • y = 590

Meaning that Rolf will need <u>310 grams</u> of brand A to mix with <u>590 grams</u> of brand B.

If we plugged those values into x+y = 900, then that equation works out.

If we tried the second equation, then,

0.99x+0.70y = 720

0.99*310+0.70*590 = 720

719.9 = 720

The slight discrepancy is due to the fact we rounded those approximate x and y values to the nearest whole number. We would get better accuracy if we rounded to say the nearest tenth or hundredth.

8 0
2 years ago
The total surface area of a cube is 384cm3 the length of the edge of the cube is?<br>​
Troyanec [42]
<h3>Using the formula\: \:A  = 6 {a}^{2}</h3>

Solving for a

<h3>a =  \sqrt{ \frac{A}{6} }  \\  =  \sqrt{ \frac{384}{6} }  \\  = 8cm</h3>
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