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Troyanec [42]
3 years ago
6

Sector problem please help

Mathematics
1 answer:
hammer [34]3 years ago
7 0

Answer:

The answer is (π/4)*r

Step-by-step explanation:

Formula length of arc when the angle given is in radian as the case given

s = r*θ

s = arc length (in radians)

r = radius

θ = central angle in radians

But when the angle given is in degrees the length is expressed as

s= 2πr*(θ/360)

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The length of a board is 2 5/8 feet long. If 5/6 of a foot is trimmed off, find the new length
nalin [4]

Answer:

New length is 3 3/20 ft.

Step-by-step explanation:

The total board is 2 5/8 feet long. And since 5/6 of a foot is trimmed off, that means each piece of wood is 5/6 feet.

We can now set up an equation like this ---> 5/6 ⋅ x = 2 5/8

Now we're going to simplify --->  5/6 ⋅ x = 2 5/8

                                                      5/6 ⋅ x = 21/8              

                                                      (multiply both sides by 6)

                                                      5x = 63/4

                                                      (divide both sides by 5)

                                                      x = 63/20

                                                      x= 3.15

So, the new length is 3.15 feet long, or 3 3/20 in mixed fraction.

6 0
2 years ago
In a certain fraction, the numerator is 4 less than the denominator. If 4 is added to both the numerator and the denominator , t
love history [14]

Answer:

Step-by-step explanation:

If the new fraction is 8/12 I will show how to find it.

Let's say the original denominator is x, then the numerator is x-4, so we have (x-4)/x.

Then it says f we add 4 to both, so now we have x/(x+4) this equals 8/12.  Now, keep in mind -4 cannot be an answer because it would make x/(x+4) be divided by 0 which wouldn't exist.

Now we just use algebra.

x/(x+4) = 8/12

12x = 8(x+4)

12x = 8x + 32

4x = 32

x = 8

So the original fraction (x-4)/x = (8-4)/8 = 4/8

5 0
3 years ago
The product of 30 degrees and 60 degrees is the same as the product of
VMariaS [17]

as the product of 90 degrees and 20 degrees

30x60=1800

90x20=1800

8 0
2 years ago
What is the solution to this system of linear equations?
svetoff [14.1K]
It’s B
If y-x=6
Y +X =_10
then y= 6 + x, instead of y insert this no
6+ x+ x =-10
6 + 2x =-10 then collect like terms
2x =-10-6
2x=-16 then multiple both side by 1/2
X=-8
Y=6+x instead of x insert -8
Y=6-8
=-2
7 0
3 years ago
-2.25 as a fraction
denis-greek [22]
- 2 1/4 (mix fraction)
- 9/4 (improper fraction)
5 0
3 years ago
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