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Iteru [2.4K]
3 years ago
9

The regular price of a scooter is $65.50. It is on sale for $52.40. What is the percent decrease from the regular price to the s

ale price of the scooter.
Mathematics
1 answer:
Troyanec [42]3 years ago
7 0

Answer:20%

Step-by-step explanation:

Percentage decrease=(65.50-52.40)/65.50 x 100

Percentage decrease=13.1/65.50 x 100

Percentage decrease=0.2 x 100

Percentage decrease=0.2 x100

Percentage decrease=20

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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
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Strike441 [17]

Answer: x=2.4

Step-by-step explanation: I believe that you plug what y equals into the x value so both variable are x and you can solve for x

4 0
3 years ago
14 out of 22 students in 1st period passed the math assignment. What is the ratio of the students who passed to those who did NO
arlik [135]

Answer:

14:8

Step-by-step explanation:

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3 years ago
If x varies inversely as y and x=12 when y=9, find x when y=54
beks73 [17]

Answer:

x = 72

Step-by-step explanation:

We set the two equal to each other

x = 12/y = 9 is equal to x/y = 54.

In order for 9 to get to 54, you have to multiply it by 6. Since you multiplied the denominator with 6, you have to do the same with the numerator. 12 times 6 is 72.

x = 72

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Here -3 gives two different outputs which contradicts the definition of a function.

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