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algol [13]
2 years ago
10

How did the temperature change if :

Mathematics
1 answer:
Mkey [24]2 years ago
7 0
<h3>Answer: Net Increase of 26%</h3>

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

Explanation:

If it increases by 5%, then we use the multiplier 1.05

Think of it like saying 100% + 5% = 1 + 0.05 = 1.05

Similarly, an increase of 20% means we involve 1.20

Combine those multipliers to get: 1.05*1.20 = 1.26

This is a net increase of 26%

Interestingly, we get fairly close to 25% which is what many students might go for (since 5 + 20 = 25). This is a beginner's trap.

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

An example:

Let's say the temperature is 20 degrees Celsius (68 degrees Fahrenheit)

An increase of 5% means it moves to 1.05*20 = 21 degrees C

A 20% increase means we go to 1.20*21 = 25.2 degrees C

The shortcut would be to do a 26% increase to get 1.26*20 = 25.2 to help confirm we have the correct combined increase.

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The rodriguez family dined at a restaurant. Their bill came up to $119, but they also have to pay a 9% tax and they plan to leav
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The volume of the oblique cone is 144.49 cubic inches , if an oblique cone has a radius of 4 units, a height of 8.5 units, and a slant length of 11.7 inches.

Step-by-step explanation:

             An oblique cone has a radius of 4 units

             A height of 8.5 units

             A slant length of 11.7 inches

We have to use the slant height to calculate actual base

So in a right angle triangle when two sides are given the third side is calculated by

Root (sqr(11,7) - sqr(8.5)) = 8.03 units

\sqrt{11.7^{2}  - 8.5^{2} }

⇒ 8.03 units

Formula to calculate the volume of oblique cone,......................(1)

V = \frac{1}{3} bh

If r is the distance of the base of the height from the center of the circle [ this is because the base of the height is outside the oblique cone]

V = \frac{1}{3} \pi r^{2} h

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Here r = 8.03 - 4 = 4.03 units

Volume = \frac{1}{3}× 3.14 × 4.03 × 4.03 × 8.5

Volume = 144.49 cubic inches

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