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alukav5142 [94]
2 years ago
15

How to find constant of proportionality

Mathematics
1 answer:
xenn [34]2 years ago
5 0

Step-by-step explanation:

The constant of proportionality is the ratio between two directly proportional quantities. Two quantities are directly proportional when they increase and decrease at the same rate. The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other.

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The diameter of a wheel of a lorry is 150cm. If the lorry travels 376.8m, how many times does the wheel rotate?
tresset_1 [31]
<h3>Answer:  79 full rotations</h3>

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

Explanation:

150 cm = 150/100 = 1.5 m

The wheel has a diameter of 1.5 meters

The circumference of the wheel is

C = pi*d

C = pi*1.5

C = 1.5pi

C = 4.71238898038469

I'm using my calculator's stored version of pi to get the most accuracy.

Then we divide the 376.8 over the circumference found

(376.8)/(4.71238898038469) = 79.9594434093682

Despite being very close to 80, we must round down to 79 because we don't have enough to get that full 80th rotation. In other words, we have 79 full rotations and then some change leftover.

Though for the sake of simplicity, I can see how it's useful to say "about 80 rotations" if 79 seems a bit clunky. I'll stick with 79 however. Let me know if your teacher instructs otherwise.

4 0
2 years ago
Who came up with y=mx+b
allsm [11]

Answer:Renee Descartes was the person that invented slope of a line

Step-by-step explanation:Renee Descartes was the person that invented slope of a line

6 0
3 years ago
The Bureau of Labor Statistics1 in the US tells us that, in 2010, the unemployment rate for high school graduates with no colleg
mars1129 [50]

Answer:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

Step-by-step explanation:

For this case we can define the following notation:

p_1 represent the unemployment rate for high school graduates with no college degree

p_2 represent the unemployment rate for college graduates with a bachelor's degree

And for this case we need to find the difference in proportions of those unemployed between these two groups, we want to find:

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From the info given we have p_1 = \frac{9.7}{100}=0.097

p_2 = \frac{5.2}{100}=0.052

And the difference:

p_1 -p_2 = 0.097-0.052 = 0.045

So then the difference between the two proportions is 0.045 and if we convert this into % we got

0.045*100= 4.5%

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3 years ago
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3 years ago
Find the volume of the cone
Sav [38]

Answer: 18.85 units^3

Step-by-step explanation:

V = 3.14 x r^2 x h/3

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3 years ago
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