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Neporo4naja [7]
3 years ago
15

A candle on a table is 6 inches tall and burns at a rate of .8 inches per hour. How many hours will it take for the candle to bu

rn down to a height of 1.2 inches?
Mathematics
1 answer:
Vlada [557]3 years ago
7 0

Answer:

6 hours

Step-by-step explanation:

6 inches burns at rate .8 inches in 1 hour

to be 1.2 inches has to burn 6 -1.2 = 4.8 inches of the candle

4.8 inches / .8 inches in 1 hour  = 6 hours

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Calculate the stroke of a slider-crank where the crank radius is 4.13 inches and the coupler is 5 inches.
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Answer:

x=8.268 inches

Step-by-step explanation:

From the question we are told that:

Radius r=4.13

Coupler C= 5 inches.

Generally the equation for Stroke in a slider-crank Mechanism x is mathematically given by

 x=2* Radius

 x=2*4.13

 x=8.268 inches

5 0
3 years ago
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7 0
3 years ago
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A rather flimsy spherical balloon is designed to pop at the instant its radius has reached 3 centimeters. Assuming the balloon i
Anni [7]

Answer:

The radius is growing at the rate of 0.09 centimeter per second at the instant it pops.            

Step-by-step explanation:

We are given the following information in the question:

A spherical balloon is designed to pop at the instant its radius has reached 3 centimeters.

The balloon is filled with helium at a rate of 10 cubic centimeters per second .

\displaystyle\frac{dV}{dt} = 10~cm^3/sec.

We have to find fast the radius is growing at the instant it pops.

Volume of spherical balloons =

\displaystyle\frac{4}{3}\pi r^3

Differentiating, we get,

\displaystyle\frac{dV}{dt} = \frac{4}{3}\pi 3r^2 \displaystyle\frac{dr}{dt} = 4\pi r^2 \displaystyle\frac{dr}{dt}

Putting the values, we get,

10 = 4\times 3.14\times (3)^2\times \displaystyle\frac{dr}{dt}\\\\\frac{dr}{dt} = \frac{10}{4\times 3.14\times (3)^2} = 0.0884 \approx 0.09\\\\\frac{dr}{dt} = 0.09\text{ centimeter per second}

The radius is growing at the rate of 0.09 centimeter per second at the instant it pops.

4 0
3 years ago
What is 21/8+17/8 equal to
mamaluj [8]
38/8 is the answer and to turn it into a mixed number you will  have to 4 6/8
3 0
3 years ago
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Select the correct answer from each drop-down menu.
tensa zangetsu [6.8K]

Answer:

  ·  This image may result from the construction of <em>an angle congruent to a given angle</em>.

  ·  The next step in this construction is to set the compass width to <em>arc JK and draw an arc centered at L intersecting the existing arc through L</em>.

Step-by-step explanation:

If the step shown above results in point of intersection P, and the construction is completed by drawing ray DP, then this construction produces triangle DLP congruent to triangle BKJ. The angle at D will be congruent to the angle at B because CPCTC. Hence an angle congruent to a given angle will have been constructed.

4 0
3 years ago
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