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astra-53 [7]
3 years ago
11

Please help In the circle, x= 24.0, find the approximate length of a 75 degree arc

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

15.7

Step-by-step explanation:

arc length = \frac{angle}{360} * \pi * d

d = diameter = 24

angle = 75 degrees

\frac{75}{360}*\pi *24 = 15.70796...

15.71

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Evaluate 6 + 2v for v = 9.
Alex Ar [27]
6 + 2v
v = 9
6 + 2(9)
6 + 18
= 24
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3 years ago
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Maru [420]

Answer:

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8 0
3 years ago
Find the sum of series 4/(4n-3) (4n+1)
ANTONII [103]
\dfrac4{(4n-3)(4n+1)}=\dfrac1{4n-3}-\dfrac1{4n-1}

Assuming the sum starts at n=1, the Nth partial sum is

\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=\left(1-\frac15\right)+\left(\frac15-\frac19\right)+\cdots+\left(\frac1{4N-7}-\frac1{4N-3}\right)+\left(\frac1{4N-3}-\frac1{4N+1}\right)
\displaystyle\sum_{n=1}^N\left(\frac1{4n-3}-\frac1{4n-1}\right)=1-\frac1{4N-1}

As N\to\infty, you're left with simply 1.
8 0
3 years ago
The length of a rectangle is 4ft less than its width. The area of the rectangle is 60ft^2. Find the length and the width of the
irinina [24]

Answer: The length is 6 feet and the width is 10 feet.

Step-by-step explanation: The question has specified the area as 60 (square feet) and the length and width are yet unknown. However we know that the length is 4 feet less than the width. What this means is that, if the width is W, then the length is W - 4.

We can now write an equation for the area of the rectangle as follows;

Area = L x W

60 = (W - 4) x W

60 = W^2 - 4W

If we rearrange all terms on one side of the equation, we now have

W^2 - 4W - 60 = 0

This is a quadratic equation and by factorizing, we now have

(W + 6) (W - 10) = 0

Hence,

Either W + 6 = 0 and then W = -6

Or W - 10 = 0 and then W = 10

We know that the side of the rectangle cannot be a negative value, so we go with W = 10.

Having calculated W as 10, the length now becomes

L = W - 4

L = 10 - 4

L = 6

Therefore, length = 6 feet and width = 10 feet

3 0
3 years ago
PLEASE HELP ME ASAP :)))))))))
Scorpion4ik [409]

Answer:

(1) x= −1 /2 y+ 5 /2

(2) x= −1 /2 y−2

Step-by-step explanation:

<u>(1)</u> 2x+y=5

Step 1: Add -y to both sides.

2x+y+−y=5+−y

2x=−y+5

Step 2: Divide both sides by 2.

2x /2 = (−y+5)/2  

x= −1 /2 y+ 5 /2

<u>(2) </u>Step 1: Flip the equation.

−2x−4=y

Step 2: Add 4 to both sides.

−2x−4+4=y+4

−2x=y+4

Step 3: Divide both sides by -2.

−2x /−2 = (y+4) /−2

x= −1 /2 y−2

6 0
3 years ago
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