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2 years ago

James has a 34-foot ladder leaning against the side of his house. If the bottom of the ladder is

Mathematics

1 answer:

Allisa [31]2 years ago

7 0

Answer:

Step-by-step explanation:

Cuz if the latter is 34 it`s close to the house how can he can`t touch the house if he didn`t touch a house or anything he will fall.

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Ms. Gonzalez borrowed $4,500 from her bank to buy a jet ski. The loan has an 8.5% annual simple interest rate. If it takes Ms. G

Komok [63]

Answer:

765

Step-by-step explanation:

4500x8,5= 38250/100=382,5 x2= 765

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2 years ago

Linda, Tony, and deon have a total of $99 in their wallets. Tony's has 4 times what deon has. Linda has $9 more than Deon. How m

Westkost [7]

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Step-by-step explanation:

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2 years ago

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Mr. Hawkins is covering a wall with

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14 x 12 = 168

168 divded by 2.90 = 57.9

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2 years ago

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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:

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

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2 years ago

Please help me!!!!!!

Stels [109]

Answer: 72.5

Step-by-step explanation:

The average of 2 points is the midpoint so if I add 70 and 75 to get 145 and divide by the number of numbers which is 2 I get 72.5

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2 years ago