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Alexeev081 [22]

2 years ago

10

Each day on their vacation, the Garza family travels 60 miles per hour for 5 hours. Find m, the number of miles the family trave

ls in 4 days.

1 answer:

SSSSS [86.1K]2 years ago

4 0

Answer:

1200

Step-by-step explanation:

5 hours * 4 days= 20 hours driven during vacation

20 hours driven during vacation *60 mile per hour = 1200 miles driven during vacation

Hope this helps!

Pls mark brainliest if correct:)

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Answer:

x = 47

Step-by-step explanation:

Every triangle's interior angles add up to 180°.

Let's make an equation.

x + 102 + 31 = 180

x + 133 = 180

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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

Natalia needs 9 apples to make her famous apple pie. Natalia 25 apples. Naomi surprised her with a basket of 11 apples. How many

pychu [463]

Answer:

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Step-by-step explanation:

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2 years ago

Steven, a tailor, got an order to make a blazer. The customer specifically asked him to save 5⁄6 of a foot of the given cloth to

xz_007 [3.2K]

To answer this question, we just need to subtract the saved cloth from the requested cloth:

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$\frac{5}{6}( \frac{2}{2}) - \frac{5}{12} = \frac{10}{12} - \frac{5}{12}$

Now that the fractions have a common denominator, we can subtract them:

$\frac{10}{12} - \frac{5}{12} = \frac{5}{12}$

The difference between the requested cloth and the saved cloth is 5/12 of a foot, or 0.4166'.

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3 years ago