Need help

What is the length of an arc cut off by an angle of 3 radians on a circle of radius 6 inches?

sattari [20]

1 inch is the answer

6 0

3 years ago

Please help!!! work has to be shown, 80 points!!!

natulia [17]

Answer:

Step-by-step explanation:

9) 24=6(-x-3)

24=-6x-18

42=-6x

x=-7

10) 75=3(-6n-5)

75=-18n-15

90=-18n

n=-5

11) -3(1+6r)=14-r

-3-18r=14-r

17=-17r

r=-1

12) 6(6v+6)-5=1+6v

36v+36-5=1+6v

36v+31=1+6v

30=-30v

v=-1

13) -4k+2(5k-6)=-3k-39

-4k+10k-12=-3k-39

6k-12=-3k-39

9k=-27

k=-3

14) -16+5n=-7(-6+8n)+3

-16+5n=42-56n+3

-16+5n=45-56n

61=-61n

n=-1

plz mark brainliest

6 0

3 years ago

How many 2/3 cups servings are in a 5 cup box

damaskus [11]

There is $7\frac{1}{2}$ 2/3 cups serving in a 5 cup box

Step-by-step explanation:

Here you are to find the number of sets 2/3 can 5 be divided into.

5 ÷ 2/3

5×3/2

15/2

$7\frac{1}{2}$

Learn More

Fractions : brainly.com/question/11117760

Keyword : divide fraction

#LearnwithBrainly

5 0

3 years ago

Suppose the value of x varies from x=2 to x=5.25. How much did the value of x change?

nata0808 [166]

Answer:

The value of x increased by 3.25.

Step-by-step explanation:

It is given that the value of x varies from x=2 to x=5.25.

We need to find the change is x.

If value of a variable x varies from a to b, then the change in te value of variable is

Change in x = b - a

For the given problem the variable is x, a=2 and b=5.25.

Change in x = 5.25 - 2

= 3.25

If the change is positive, then the value of variable increased and if the change is negative, then the value of variable decreased.

Therefore, the value of x increased by 3.25.

4 0

3 years ago

Each set of numbers below represents the lengths of three line segments. Which set represent line segments that could be connect

LenKa [72]

Answer:

B is the triangle

A and E can be thought of as triangles as well with angles 0°, 0° and 180°, but it will be just a line with 3 points. So it depends whether this is a question with multiple answers or not.

Step-by-step explanation:

Thinking Process:

We need to find a formula for a triangle that uses all the sides

Cosine rule uses all sides:

$c^2 = a^2 + b^2 -2ab(cosA)$

we can rearrage this formula and make the angle $A$ the subject:

$A = cos^{-1}(\frac{a^2+b^2-c^2}{2ab})$

now you can just put the values from each option in the question into this formula and see if it gives an answer or not.

Try A. (1,2,3)

put a = 1, b = 2, c = 3 (keep in mind that you can take 'a' 'b' and 'c' as 3,2 and 1 or any other arrangement within the option A(1,2,3). All we are doing here is checking whether the answer exists or not)

$A = cos^{-1}(\frac{1^2+2^2-3^2}{2(1)(2)})$

$A = 180$ , now graphically it seems that this is just a line with 3 points, or technically you can think of as the sides of the triangle are overlapping each other, and the angle between the sides is 0 0 and 180. It depends on whether the question is asking you to be technical or not. Since the question already stated there are 3 line segments, so we can think of it as a triangle.

Try B.(3,4,5)

$A = cos^{-1}(\frac{3^2+4^2-5^2}{2(3)(4)})$

$A = 90$ , this is a triangle (specifically, this is a right angled triangle)

Try C.(1,10,100)

$A = cos^{-1}(\frac{1^2+10^2-100^2}{2(1)(10)})$

from the calculator you'll see a 'math error', this shows that there is no answer, because $cos^{-1}$ can only accept values within -1 and 1 inclusive. Hence no such triangle exists with lengths (1,10,100).

Similarly you can try the formula with all other options, and find whose answers exists or not.

Finally, to complete the answer, let's

Try E.(1,3,4)

$A = cos^{-1}(\frac{1^2+3^2-4^2}{2(1)(3)})$

$A = 180$ , hence this is also one of those "3 points on a straight line triangles" similar to A(1,2,3)

so the answer is either A,B and E OR just B

Hope this helps :)

5 0

3 years ago