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VikaD [51]
3 years ago
12

A circle has a radius of 5 ft, and an arc of length 7 ft is made by the intersection of the circle with a central angle. Which e

quation gives the measure of the central angle, Ø?
Mathematics
1 answer:
kirill [66]3 years ago
7 0

The answer is Theta = 7/5

Hope this would do... :)

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The base of a solid is bounded by the curve y = sqrt (x+1) the x-axis and the line x = 1. the cross sections, taken perpendicula
Andrei [34K]

See attached for a sketch of some of the cross sections.

Each cross section has area equal to the square of the side length, which in turn is the vertical distance between the curve y = √(x + 1) and the x-axis (i.e. the distance between them that is parallel to the y-axis). This distance will be √(x + 1).

If the thickness of each cross section is ∆x, then the volume of each cross section is

∆V = (√(x + 1))² ∆x = (x + 1) ∆x

As we let ∆x approach 0 and take infinitely many such cross sections, the total volume of the solid is given by the definite integral,

\displaystyle \int_{-1}^1 (x+1) \, dx = \left(\frac{x^2}2 + x\right) \bigg|_{-1}^1 = \boxed{2} ~~~~ (B)

3 0
2 years ago
A small factory planned to produce a batch of men’s shirts in 8 days. But producing 10 more shirts per day than planned, they fi
a_sh-v [17]

In unit of batches over days, let r be the planned rate and R be the actual increased rate. The difference between R and r is described as 10 shirts per day.

R-r=10

                        Rate                  Time                  Batches

Planned              r                          8                           1

Actual                 R                         7                            1


\left[\begin{array}{c}r=1/8&R=1/7&R-r=HowManyBatchesInTenShirts\end{array}\right]

1/7-1/8, the number of batches equivalent to 10 shirts.

(1/56)*Batches=10*Shirts

OneBatch=560*Shirts

Hope This Helps!!!

4 0
3 years ago
Show how to make one addend the next tens number. Complete the new addition sentence. 26+27=?
Usimov [2.4K]
26 plus 27 is 53
hope I helped
3 0
3 years ago
Help on this thx for helping if you did
vichka [17]
To evaluate two fractions being divided, you must turn the right fraction into a reciprocal. That means you must put the bottom number at the top and then put the top number on the bottom (you’re basically switching them).

8/13 / 3/2

Now, once you turned the other number into a reciprocal, you multiply across. The top number times the other top number and do this to the bottom numbers, too.

8/13 * 3/2 = 24/26

You found the answer, 24/26. But as you can see, it’s not one of the choices. That’s because you need to simplify.

24/26 / 2/2 = 12/13

12/13 is your answer, or choice C!

I hope this helped. Comment below if you have any questions.
6 0
3 years ago
Rachel's house sold for $180,000. Her real estate agent received a commission of $10,800. What percentage did her real estate ag
Vikki [24]

16.6 repeating it the answer

5 0
3 years ago
Read 2 more answers
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