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scoray [572]
3 years ago
8

The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and

length of this rectangle?
Mathematics
1 answer:
Ratling [72]3 years ago
3 0

Answer:

Step-by-step explanation:

5 2/3

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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
6th GRADE MATH:
murzikaleks [220]

Answer:

200 ounces

Step-by-step explanation:

200 ounces.  because each pound has 16 ounces and 12.5 pounds has 200 ounces

6 0
3 years ago
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What is the greatest possible product of a 2-digit number and a 1-digit number.Explain how you know
Elodia [21]
The answer is 891. 99 is the greatest 2 digit number and 9 is the greatest 1 digit number. So the product of the two (multiply them) gives you your answer of 891 (99 x 9 = 891).
7 0
3 years ago
These are the weekly wages paid to staff in a hotel. £245 £140 £525 £163 £195 £174 £140 What is the median of these wages?​
trapecia [35]

226 should be the median of the wages.

5 0
2 years ago
Tell which property the statement illustrates 5•p=p•5
slamgirl [31]

The property illustrated in the given statement 5.p = p.5 is commutative property.

<u>Solution:</u>

We have been given an equation as follows:

5.p = p.5

And we have been asked to find the property this statement illustrates.

The answer to the question is, the statement illustrates commutative property.

The commutative property in math comes from the words "commute" or "move around." This rule states that you can move numbers or variables in algebra around and still get the same answer.

Which satisfies the given statement.

5 0
3 years ago
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