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photoshop1234 [79]
3 years ago
11

A subtending arc on a circle with a radius of 4.5 centimeters has an arc length of 8π. The measure of the angle subtended by the

arc is °.Which angle measure less than or equal to 360° is equivalent to an angle of ?
Mathematics
1 answer:
yarga [219]3 years ago
3 0

Answer:

  320°

Step-by-step explanation:

<u>Part 1</u>

The arc length is given by ...

  s = rθ . . . . . r is the radius, θ is the central angle in radians

We want to find θ, so we can fill in the given values and divide by the coefficient of θ.

  8π = 4.5θ

  θ = 8π/4.5 = 16π/9 . . . radians

Since π radians = 180°, the degree measure of the angle is ...

  θ = (16/9)180° = 320°

The measure of the angle subtended by the arc is 320°.

_____

<u>Part 2</u>

We might be able to help with the second part of the question, but you need to edit to put in the numbers and answer choices.

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Which real numbers are zeros of the function?
monitta
<h3><u>The roots are -1/2, 0, 2, and 3.</u></h3>

Let's trying factoring this polynomial.

We can factor an x out of each term to start.

x(2x^3 - 9x^2 + 7x + 6)

We now know one of the roots is going to be zero.

Using the rational roots theorem, and the remainder theorem, we can try to find some more roots that way.

Factors of 6: 1, 2, 3, 6.

Factors of 2: 1

Possible rational roots: +/-1/2, +/-1, +/-2, +/-3/2, +/-3, +/-6

Using the remainder theorem, we can plug these values into the polynomial, and if we get a remainder of zero, we know it's a root.

-1/2(2(-1/2)^3 - 9(-1/2)^2 + 7(-1/2) + 6) = 0

Our first root is -1/2.

We can successfully factor a -1/2 out of this polynomial.

After diving the polynomial by -1/2, we're left with: 2x^2 - 10x + 12.

We can now try using the AC method to get our last two roots.

First, we can factor this polynomial to simplify it.

Divide all terms by 2.

2(x^2 - 5x + 6)

Now let's try using the AC method.

The digits -3 and -2 satisfy the criteria.

2(x - 3)(x - 2)

We now have all of our roots: 0, -1/2, 2, and 3.


6 0
3 years ago
Who know how to do this 100% smart
chubhunter [2.5K]

Answer:

1- \frac{1}{2}

2- 1

3- -2

Step-by-step explanation:

1-

Add the numbers : \frac{5}{10}

Reduce the fraction with 5 : \frac{1}{2}

Solution : \frac{1}{2}

2-

Calculate the difference: \frac{-3}{-3}

Divide: 1

Solution: 1

3-

Subtract the numbers: \frac{6}{-3}

Reduce the fraction : -2

Solution: -2

4 0
2 years ago
Read 2 more answers
Trailblazers Inc. is known for making high quality suits. If they take 9 days to stitch 90 suits, how long will it take them to
irina [24]

Answer:

It will take them a total of 18 days because if it took them 9 days to make 90 multiply that by 2 to get 180 and you get the answer.

Step-by-step explanation:

9 = 90

9 x 2 = 18

90 x 2 = 180

you make 180 suits in 18 days

8 0
3 years ago
PLEASE HELP It's for 10pts
Eduardwww [97]

Answer:

9x+2

Step-by-step explanation:

It's a simple problem, to find the perimeter, add a+b+c. In this case, it's with binomials, but it follows the same idea.

(2x+2)+(3x+1)+(4x-1)

2x+2+3x+1+4x-1

Combine like terms.

2x+3x+4x=9x

2+1-1=2

Left with 9x+2 as your perimeter binomial.

4 0
2 years ago
If the reserve rate is 7% and a bank receives a deposit of $9000, how much of the $9000 is the bank free to lend?
elena55 [62]

7% Of 9000 is 630. Then subtract 630 from 9000. So your answer becomes 8370.

4 0
3 years ago
Read 2 more answers
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