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Alexus [3.1K]
3 years ago
8

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 what?
Mathematics
1 answer:
ella [17]3 years ago
3 0
For the answer to the question above, 

<span>the angle of 360 ° → π.d </span>

<span>the angle of x ° → 8π </span>


<span>You make the cross-multiply and you can get: </span>

<span>x * π.d = 8π * 360 </span>

<span>x * d = 8 * 360 </span>

<span>x = 8 * 360/d → where d = 2r </span>

<span>x = 8 * 360/2r </span>

<span>x = 4 * 360/r → where r = 4.5 cm </span>

<span>x = 4 * 360/4.5 </span>

<span>x = 320 °</span>
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-8x-27=-7\left(1+2x\right)+2x
Darina [25.2K]

Answer:

x=5

Step-by-step explanation:

-8x-27=-7\left(1+2x\right)+2x

Expand:

-8x-27=-7\times 1-7\times 2x+2x

-8x-27=-7-12x

Add 27 to both sides:

-8x-27+27=-7-12x+27

-8x=-12x+20

Add 12x to both sides:

-8x+12x=-12x+20+12x

4x=20

Divide both sides by 4:

\frac{4x}{4}=\frac{20}{4}

x=5

5 0
3 years ago
(FIRST CORRECT FOR BRAINIEST) Solve for x
Katyanochek1 [597]

Answer:

x = 12

Step-by-step explanation:

Angles in a triangle add up to equal 180 degrees

Hence, 10x - 11 + 3x - 2 + 3x + 1 = 180

( note that we just created an equation that we can use to solve for x )

we now solve for x using the equation we created

10x - 11 + 3x - 2 + 3x + 1 = 180

step 1 combine like terms

10 + 3x + 3x = 16x

- 11 - 2 + 1 = -12

we now have 180 = 16x - 12

step 2 add 12 to each side

- 12 + 12 cancels out

180 + 12 = 192

we now have 192 = 16x

step 3 divide each side by 16

16x / 16 = x

192 / 16 = 12

we're left with x = 12

4 0
3 years ago
Read 2 more answers
(-3)(+4)=?<br> Can someone tell me the answer to this?
slava [35]

Answer:

-12, or 1 (see explanation)

Step-by-step explanation:

(-3)(+4)

Is the same as

4 * (-3)

which is

-12

Unless your problem is:

(-3) + 4

Then it is the same as

4 - 3

which is

1

5 0
3 years ago
The probability of picked a blue morble out of a bag of 50 marbles is 3/25. How Many marbles in the bag are not blue?
Sav [38]

Answer:

54 marbles that arent blue

Step-by-step explanation:

3/25 is equal to 6/50 (double both numbers).

If 6 of the marbles are blue, 50-6= 54

8 0
3 years ago
Last year, the number of skateboards produced by a skateboard company is normally distributed. The standard deviation of skatebo
jenyasd209 [6]

The average number of skateboards produced per day last year is 310.

<h3>What is a normal distribution?</h3>

It's the probability curve of a continuous distribution that's most likely symmetric around the mean. On the Z curve, at Z=0, the chance is 50-50. A bell-shaped curve is another name for it.

We have:

The standard deviation of skateboards produced was 20 skateboards. They found they produced up to 280 skateboards on 93.32% of the days last year.

Z- score at 93.32% is -1.5

We know:

\rm Z = \dfrac{(x - \mu)}{\sigma}

\rm -1.5 = \dfrac{(280 - \mu)}{20}

μ = 280 + 30

μ = 310

Thus, the average number of skateboards produced per day last year is 310.

Learn more about the normal distribution here:

brainly.com/question/12421652

#SPJ1

6 0
2 years ago
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