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seropon [69]
3 years ago
14

If the circumference of a circle is 84.5 ft, find the radius.

Mathematics
2 answers:
Elina [12.6K]3 years ago
6 0

Answer:

13.448, rounded off: 13.5 ft

Step-by-step explanation:

r=\frac{C}{2\pi }

Where r = radius, C = circumference.

r=\frac{84.5}{2\pi } =13.448 = 13.5 ft

inessss [21]3 years ago
5 0

Answer:

r = 13.5 ft

Step-by-step explanation:

The circumference of a circle of radius r is C = 2(pi)r.

Here, C = 84.5 ft = 2(pi) r, or

          C = 84.5 ft = 6.28r

Dividing both sides by 6.28 results in the value of r:

r = 84.5 ft / 6.28 = 13.5 ft

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A carriage on a carnival ride can hold up to 4 people. How many carriages are needed for a group of 22 people to ride?
zheka24 [161]

Answer:

Hello!

Let's simply divide our two numbers to find how many carriages we need.

22/4=5.5

The thing is, we cannot have 5.5 carriages. We can just have an extra carriage with only 2 people. This gives us 6 carriages.

Therefore, our answer is 6.

I hope this helps!

6 0
3 years ago
Write the equation of a line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​).
Fantom [35]

Answer:  y = -(9/5)x - 1

Step-by-step explanation:

Rewrite the equation in standard form:  y = (5/9)x+(8/9).  [y=mx+b]

A line perpendicular to this would have a slope that is the negative inverse of the original slope (5/9), which would make it -(9/5).  The y-intercept would also change, but we don't know the value, yet.  For now, we'll use "b" for the y-intercept.  This results in a perpendicular line:

y = -(9/5)x + b

We can calculate b, the y-intercept, by using the point (-5,8) and solving for b.

8 = -(9/5)*(-5) + b

8 = (9) + b

b = -1

The line perpendicular to 5x−9y=−8 that passes through the point ​(−5​,8​) is

y = -(9/5)x - 1

7 0
3 years ago
What function is the inverse of the exponential function y = (1.5)x?
vagabundo [1.1K]

Correct question is;

What function is the inverse of the exponential function y = 1.5^(x)?

Answer:

y = log_1.5_x

Step-by-step explanation:

The inverse of exponential functions is usually written in form of logarithm.

For example inverse of y = p^(x) will be written as; y = log_p_(x)

Similarly applying this same pattern to our exponential function y = 1.5^(x), we have the inverse as;

y = log_1.5_x

6 0
3 years ago
640,409,210 in expanded form
Grace [21]
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3 years ago
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uysha [10]

Answer:

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5. (0, 1)

7. (-1, 2)

Step-by-step explanation:

I hope this helps! Have a nice dayy! :)

3 0
3 years ago
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