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kolezko [41]
2 years ago
5

The circumference of a circle exceeds the radius by 74 cm. Find the radius of the circle.​

Mathematics
2 answers:
Yakvenalex [24]2 years ago
7 0

Answer:

14cm

Step-by-step explanation:

hope it helps you out

saw5 [17]2 years ago
3 0

Answer:

14 cm.

Step-by-step explanation:

Let the radius of the circle = r cm.

Then circumference of circle = 2 π r.

Since circumference exceeds the radius by 74 cm

Therefore, according to the question,

\sf \:2 π r = r+ 74

\sf \: =   > 2 \times  \frac{22}{7}  \times r =  r \:  + 74

\sf \: =  >  \frac{44r}{7}  -r  = 74

\sf \:  =  > \frac{44r - 7r}{7}  = 74

\sf \: =  >  \frac{37r}{7}  = 74

\sf \: =  > r =  \frac{7 \times 74}{37}

\sf \: =  >  r = 14

  • Hence, the radius of the circle is 14 cm.

________________________________

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Max was on vacation twice as long is Jared and half as long as Wesley. The boys were on vacation a total of three weeks. How man
nasty-shy [4]
To begin with, the question is asking for the answer in days, so let's change 3 weeks to days. There are 7 days in 1 week; 3 weeks times 7 days = 21 days.
21 total days of vacation.

Max + Jared + Wesley = 21 days
(Let's use the first letter of their name to represent their vacation time)

M + J + W = 21 [This is the equation we'll be coming back to]

Now, we can use the clues given in the question to have an equation for each variable/boy. 

Max was on vacation twice as long as Jared. We can interpret this as  M= 2J Max was on vacation only half as long as Wesley. We can interpret this as M = (1/2)W.

So far we have these three equations: M + J + W = 21M = 2J M = (1/2)W

To have an equation for each individual boy, we must rearrange the last two equations in the list.

First, M = 2J.
Divide both sides by 2
M/2 = 2J/2
(1/2)M = J

Second, <span>M = (1/2)W
Multiply both sides by 2
2M = W

New equations:
</span><span>M + J + W = 21 [From the old list]
</span>J = (1/2)W
W = 2M

Now we can substitute the last two equations into the first one. 
M + J + W = 21
M + (1/2)W + 2M = 21
[Combine Like Terms]
<span>(7/2)M = 21 
</span>
Then, solve for M (Max's vacation days):
Multiply both sides by 2/7
(\frac{2}{7})* (\frac{7}{2}m)= (\frac{2}{7})*(21)
M = 6

Now we know Max was on vacation for 6 days.

If Max was on vacation twice as long as Jared, that means Jared was on vacation HALF as long as Max.

So...
<span>J = (1/2)M 
J = (1/2) * 6
J = 3
Jared was on vacation for 3 days 
</span>
Wesley was on vacation twice as long as Max so...  W = 2M 
W= 2*6
W = 12
Wesley was on vacation for 12 days. 

Let's double check our answer:
M + J + W = 21 days<span>6 + 3 + 12 = 21   
The numbers work out so the math is correct. Hope this helps and makes sense!</span>
6 0
3 years ago
What is the least common multiple of 10 and 15?
Gala2k [10]

Answer:

30

Step-by-step explanation:

15x2=30

10x3=30

5 0
2 years ago
Read 2 more answers
- y - 10 = 6x <br> 5x + y = - 10
Inga [223]

Answer:

(0,-10)

Step-by-step explanation:

not to sure if this is what your asking for, sorry

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An aptitude test is designed to measure leadership abilities of the test subjects. Suppose that the scores on the test are norma
Komok [63]

Using the normal distribution, it is found that 0.0329 = 3.29% of the population are considered to be potential leaders.

In a <em>normal distribution</em> with mean \mu and standard deviation \sigma, the z-score of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

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In this problem:

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The proportion of the population considered to be potential leaders is <u>1 subtracted by the p-value of Z when X = 780</u>, hence:

Z = \frac{X - \mu}{\sigma}

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0.0329 = 3.29% of the population are considered to be potential leaders.

To learn more about the normal distribution, you can take a look at brainly.com/question/24663213

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marysya [2.9K]

Answer:


Step-by-step explanation:

A ratio compares two quantities in terms of multiplication. For example, suppose that there are 10 boys and 15 girls in a classroom. One way, not using ratios, to compare these quantities would be to say that there are 5 more girls than boys in the classroom. To employ a ratio, we say that the ratio of boys to girls is 10 to 15, or 2 to 3. In other words, for every 2 boys in the classroom, there are 3 girls.


In your case, for every 40 boys, there are 20 girls. if we simplify this all the way down, we can get 2 to 1.

All of the following are ratios that apply to your question:

40 to 20

20 to 10

10 to 5

4 to 2

2 to 1

I hope I helped you out! <3

7 0
3 years ago
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