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kifflom [539]
2 years ago
15

5)= -1" align="absmiddle" class="latex-formula">
Mathematics
1 answer:
Anarel [89]2 years ago
8 0

Answer:

h=\frac{6}{4}

Step-by-step explanation:

2h-(6h-5)=-1\\2h-6h+5=-1\\-4h+5=-1\\-4h=-6\\\boxed{h=\frac{6}{4}}

  1. distribute the negative sign to the parenthesis
  2. combine like terms
  3. subtract 5 from both sides
  4. divide both sides by -4
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Answer:

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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:

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<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:

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<u>Question 2:</u>

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

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

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