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Mnenie [13.5K]
3 years ago
15

A costume designer is preparing costumes for 22 dancers . She pays 373.78 for all of the materials. She also buys gloves for all

of the dancers. Each pair of gloves cost 4.30.How much is a costume designer experience for each dancer.
Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Answer:

  $21.29 per dancer

Step-by-step explanation:

The materials cost $373.78 for all 22 dancers, so the cost per dancer is ...

  $373.78 / 22 = $16.99

Adding the $4.30 cost of gloves to that brings the total for each dancer to ...

  $16.99 +4.30 = $21.29 . . . . for each dancer

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Draw an example of a composite figure that has a volume between 750 cubic inches and 900 cubic inches
grigory [225]

Volume:

V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Explanation:</h2>

A composite figure is formed by two or more basic figures or shapes. In this problem, we have a composite figure formed by a cylinder and a hemisphere as shown in the figure below, so the volume of this shape as a whole is the sum of the volume of the cylinder and the hemisphere:

V_{total}=V_{cylinder}+V_{hemisphere} \\ \\ \\ V_{total}=V \\ \\ V_{cylinder}=V_{c} \\ \\ V_{hemisphere}=V_{h}

So:

V_{c}=\pi r^2h \\ \\ r:radius \\ \\ h:height

From the figure the radius of the hemisphere is the same radius of the cylinder and equals:

r=\frac{8}{2}=4in

And the height of the cylinder is:

h=15in

So:

V_{c}=\pi r^2h \\ \\ V_{c}=\pi (4)^2(15) \\ \\ V_{c}=240\pi in^3

The volume of a hemisphere is half the volume of a sphere, hence:

V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi r^3\right) \\ \\ V_{h}=\frac{1}{2}\left(\frac{4}{3} \pi (4)^3\right) \\ \\ V_{h}=\frac{128}{3}\pi in^3

Finally, the volume of the composite figure is:

V=240\pi+\frac{128}{3}\pi \\ \\ V=\frac{848}{3}\pi in^3 \\ \\ \\ V \approx 888.02in^3 \\ \\ And, \ 750in^3

<h2>Learn more:</h2>

Volume of cone: brainly.com/question/4383003

#LearnWithBrainly

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3 years ago
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To be able to quickly solve this, we can temporarily make 5.47 into 547

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