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3 years ago

4. Caroline gets into a car accident. She is

Mathematics

1 answer:

Scrat [10]3 years ago

7 0

Answer:

525,000 N

Step-by-step explanation:

Since Force is mass multiplied by acceleration, you have to create the equation 25000*21 m/s^2.

25000*21 = 525000

She hit the parked car with 525,000 Newtons of force.

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Find the circumference of the circle. Then, find the length of each bolded arc. Use appropriate notation

Vaselesa [24]

Answer:

$\text{1) }\\\text{Circumference: }24\pi \text{ m}},\\\text{Length of bolded arc: }18\pi \text{ m}\\\\\text{3)}\\\text{Circumference. }4\pi \text{ mi},\\\text{Length of bolded arc: } \frac{3\pi}{2}\text{ mi}$

Step-by-step explanation:

The circumference of a circle with radius $r$ is given by $C=2\pi r$ . The length of an arc is makes up part of this circumference, and is directly proportion to the central angle of the arc. Since there are 360 degrees in a circle, the length of an arc with central angle $\theta^{\circ}$ is equal to $2\pi r\cdot \frac{\theta}{360}$ .

Formulas at a glance:

Circumference of a circle with radius $r$ : $C=2\pi r$
Length of an arc with central angle $\theta^{\circ}$ : $\ell_{arc}=2\pi r\cdot \frac{\theta}{360}$

<u>Question 1:</u>

The radius of the circle is 12 m. Therefore, the circumference is:

$C=2\pi r,\\C=2(\pi)(12)=\boxed{24\pi\text{ m}}$

The measure of the central angle of the bolded arc is 270 degrees. Therefore, the measure of the bolded arc is equal to:

$\ell_{arc}=24\pi \cdot \frac{270}{360},\\\\\ell_{arc}=24\pi \cdot \frac{3}{4},\\\\\ell_{arc}=\boxed{18\pi\text{ m}}$

<u>Question 2:</u>

In the circle shown, the radius is marked as 2 miles. Substituting $r=2$ into our circumference formula, we get:

$C=2(\pi)(2),\\C=\boxed{4\pi\text{ mi}}$

The measure of the central angle of the bolded arc is 135 degrees. Its length must then be:

$\ell_{arc}=4\pi \cdot \frac{135}{360},\\\ell_{arc}=1.5\pi=\boxed{\frac{3\pi}{2}\text{ mi}}$

8 0

3 years ago

If the perimeter of the triangle is 73 mm, find the value of x.

Ipatiy [6.2K]

To find x, we simply need to subtract the sum of the other two sides from 73.
35+11=46
73-46=27

So x = 27mm

7 0

3 years ago

TIME REMAINING

alekssr [168]

The solution of the equations is (-2, -1)

<h3>System of equation:</h3>

2x - 3y = -1

11x - 9y = -13

Using elimination method let multiply the first equation by -3.

Therefore,

-6x + 9y = 3

11x - 9y = -13

5x = -10

x = -10 / 5

x = -2

let's find y as follows;

2(-2) - 3y = -1

-4 - 3y = -1

-3y = -1 + 4

-3y = 3

y = 3 / -3

y = -1

learn more on system of equation here: brainly.com/question/1451150

6 0

2 years ago

Read 2 more answers

Carlos finds the absolute value of -5.3,and then finds the oppsite of his answer.Whose final value is greater?Explain

Mrrafil [7]

The final value, 5.3, is greater in the value of the answer.

5 0

3 years ago

A book that normally sells for $25.50 is on sale at 15% off. What is the discount amount, and what is the books sales price

viktelen [127]

Answer:

1) $3.82 2) $21.68

Step-by-step explanation:

If it's 15% off, the price is 85% of the original price--- $25.50*85\% = 21.675 \approx 21.68$ , and this gives a difference from the original price and the new price of $25.50-21.68=3.82$ .

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3 years ago