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dmitriy555 [2]
3 years ago
10

 Plz Answer Quickly. Joseph bought some woodworking equipment. He paid $62 for a saw, $9 for a file set, and $4 for sandpaper.

Mathematics
1 answer:
Inessa05 [86]3 years ago
8 0
<span>The question asks to find what percent of the total cost was the price of the file set. Total cost was: $62 + $9 + $4 = $75. Now the total cost ( $75 ) represents 100% and the price of the file set ( $9 ) represents x %. When we make a proportion - 75 : 9 = 100 : x. 75 x = 9 * 100, 75 x = 900; x = 900 : 75; x = 12%. Answer: The file set was 12% of the total cost.</span>
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webassign If a snowball melts so that its surface area decreases at a rate of 6 cm2/min, find the rate at which the diameter dec
drek231 [11]

Answer:

The answer is \frac{3}{10\pi }  cm/min

Step-by-step explanation:

Assuming the snowball is a perfect sphere, then if A denotes the surface area and D the diameter then:

A=4\pi r^{2} = 4\pi (\frac{D}{2} )^{2} =\pi  D^{2}

Differentiating wrt r we have:

\frac{dA}{dD} =2\pi D

We are told that \frac{dA}{dt}= -6 and we want to find \frac{dD}{dt}

By the chain rule we have:

\frac{dA}{dD}=\frac{dA}{dt}.\frac{dt}{dD}=\frac{\frac{dA}{dt} }{\frac{dD}{dt} }

∴2\pi D=-\frac{6}{\frac{dD}{dt} }

∴\frac{dD}{dt}=-\frac{6}{2\pi D}

When D=10 then

\frac{dD}{dt} =-\frac{6}{10*2\pi } =-\frac{3}{10\pi }

The sign (-) shows that the D is decreasing.

3 0
3 years ago
In the right triangle ABC shown, c=17ft and angle A=30 degrees Determine side a
jekas [21]

Using relations in a right triangle, considering c as the hypotenuse, we have that the length of side A is: a = 8.5\sqrt{3}

<h3>What are the relations in a right triangle?</h3>

The relations in a right triangle are given as follows:

  • The sine of an angle is given by the length of the opposite side to the angle divided by the length of the hypotenuse.
  • The cosine of an angle is given by the length of the adjacent side to the angle divided by the length of the hypotenuse.
  • The tangent of an angle is given by the length of the opposite side to the angle divided by the length of the adjacent side to the angle.

From the information given, we can build the following relation:

cos(A) = a/c.

\frac{\sqrt{3}}{2} = \frac{a}{17}

a = \frac{17\sqrt{3}}{2}

a = 8.5\sqrt{3}

More can be learned about relations in a right triangle at brainly.com/question/26396675

#SPJ1

6 0
2 years ago
I need help with this question
Furkat [3]

Answer:

7

This question is tying to introduce an idea that

eventually becomes a calculus question ....

<u>(4^2 + 3(4)) - (0^2+3(0))</u>

             4 - 0

<u>28 - 0    </u>   = 7

   4

Step-by-step explanation:

5 0
3 years ago
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if an ice cream factory makes 350 quart of ice cream in 2 hours?how many quarts could be made in 12 hours? what was the rate in
UkoKoshka [18]
2,100 quarts could be made in 12 hours. The rate for that day was 175 quarts every hour. We get this by dividing 350 by 2.
8 0
3 years ago
I NEED THIS ANSWER FAST. Show work.
777dan777 [17]

Answer:

1/20

Step-by-step explanation:

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