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romanna [79]
3 years ago
11

A circle with circumference of 20 has an arc with a 72 degree central angle what is the length of the arc

Mathematics
1 answer:
FinnZ [79.3K]3 years ago
3 0

Answer:

4

Step-by-step explanation:

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Allen runs 8 miles in 3 hours at a steady pace.  how long does it take him to run 3 miles
Amiraneli [1.4K]
\begin{array}{ccc}8miles&-&3hours\\\\3miles&-&xhours\end{array}\\\\8x=3\cdot 3\\\\8x=9\ \ \ \ /:8\\\\x=\frac{9}{8}\\\\x=1\frac{1}{8}\ (h)



v=\frac{8}{3}\ mph\\\\s=3miles\\\\t=s:v\\\\t=3:\frac{8}{3}=3\cdot\frac{3}{8}=\frac{3}{1}\cdot\frac{3}{8}=\frac{9}{8}=1\frac{1}{8}\ (h)
4 0
3 years ago
Read 2 more answers
The weight of Jane and Jessica was in the ratio of 8 : 9. Jane gained 2 kg while Jessica lost 4 kg. They then had the same weigh
postnew [5]

Answer:

  48 kg

Step-by-step explanation:

The given relations can be used to write a system of equations for the two weights. Those can be solved to find Jane's weight.

__

<h3>setup</h3>

Let x and y represent Jane's and Jessica's original weight, respectively. The ratio of weights was ...

  x/y = 8/9

After the changes in weight, they were equal:

  x+2 = y-4

__

<h3>solution</h3>

Adding 4 to the second equation, we have an expression for y that can be substituted into the first equation.

  y = x +6 . . . . . . . . . . solve the second equation for y

  x/(x+6) = 8/9 . . . . . . substitute for y in the first equation

  9x = 8(x +6) . . . . . . . multiply by 9(x+6)

  x = 48 . . . . . . . . . . . simplify and subtract 8x

Jane weighed 48 kg at first.

_____

<em>Alternate solution</em>

The original difference in "ratio units" was 9-8 = 1 ratio unit. We find that this corresponds to 6 kg after the weight changes make the weights equal. Then 8 ratio units will be 8(6 kg) = 48 kg—Jane's original weight.

(This mental solution is virtually the same as the solution using equations shown above.)

3 0
1 year ago
Can I please get some help on this question ?
FrozenT [24]

Answer:

Step-by-step explanation:

I will help u if you help me????

7 0
2 years ago
Sara's mother has bought 90 lollipops and 105 pencils for goody bags for Sara's birthday. What is the largest number of goody ba
crimeas [40]

Answer:

<h3>15</h3>

Step-by-step explanation:

<h2>you need to find the lcf(least common factor) of the two numbers which is 15</h2>
5 0
2 years ago
The cost of a car rental is ​$35 per day plus 21 cents per mile. You are on a daily budget of ​$98. Write and solve an inequalit
erma4kov [3.2K]
Let x = mileage
98 >= 35 + .21x
Solving for x:
98 >= 35 + .21x
63 >= .21x
300 >= x
.
This says that if the total mileage is 300 miles or less he will be within his budget.
4 0
2 years ago
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