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3 years ago

The sum of three consecutive odd integers is 17 less than four times the smallest integer. Find the integers.

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

6 0

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

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For a circle with a radius of 6 feet, what is the measurement of the central angle (in degrees) that intercepts an arc

geniusboy [140]

Answer: The central angle measures 135 degrees

Step-by-step explanation: We have been given an arc with length 9pi/2 feet and a radius of 6 feet. The arc is shown in the attached diagram (please see attachment). The central angle subtended by this arc is at point O and has been labeled angle X.

So if the diagram shows arc AB with length 9pi/2 and radius AO with length 6, we can use the formula to compute “Length of an arc” to arrive at the missing angle.

Length of an arc = X/360 x 2pi x radius

Substituting for the known values, our formula can now be re-written as

9pi/2 = X/360 x 2pi x6

By cross multiplication we now have

9pi/2pi x 6 = 2X/360

We simplify as much as possible by dividing all like terms, hence pi divides pi on the left side of the equation. Also 2 divides 360 on the right side of the equation.We now arrive at,

9/12 = X/180

Simplify even further and we have

3/4 = X/180

By cross multiplication we now have

(3 x 180)/4 = X

540/4 = X

135 = X

Therefore the central angle that intercepts the arc measures 135 degrees.

6 0

4 years ago

I need help with Inverses

Morgarella [4.7K]

The inverse function is just:

m(p) = 4p - 28

So the correct option is B.

<h3>How to get the inverse function?</h3>

Here we start with the given function:

$p(m) = \frac{m}{4} + 7$

To find the inverse m(p), we need to isolate the variable m in one side of the given function.

If we subtract 7 in both sides, we will get:

$p - 7 = \frac{m}{4}$

If now we multiply both sides by 4, we get:

$4*(p - 7) = m\\\\4p - 28 = m$

Then the inverse function is just:

$m(p) = 4p - 28$

If you want to learn more about inverse functions:

brainly.com/question/14391067

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2 years ago

Carlos completed 7 of 10 passes . Ty completed 21of30 compare their pass completion rAtes

ioda

Carlos completed 7 out of 10 passes. In fractional form, this would be 7/10. In decimal form, this would be 0.7. Finally, the percent of passes that Carlos completed was 70%.

Ty completed 21 out of 30 passes. In fractional form, this would be 21/30. In decimal form, this would be 0.7. Therefore, the percent of passes that Ty completed was 70%.

In conclusion, Ty and Carlos completed the same amount of passes, so their pass completion rates are equal, or the same.

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cestrela7 [59]

Answer: hahshejehdbddndb

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tatyana61 [14]

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