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AleksandrR [38]
3 years ago
8

find the measure of the angle of the radius of the circle is 4 inches and the length of the arc is 8 pi.

Mathematics
1 answer:
NeTakaya3 years ago
4 0
Since the angle is in radians, then s = rθ.

\bf \textit{arc's length}\\\\
s=r\theta \quad 
\begin{cases}
r=4\\
s=8\pi 
\end{cases}\implies 8\pi =4\theta \implies \cfrac{8\pi }{4}=\theta \implies 2\pi =\theta
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I will give brainliest
alex41 [277]

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

\frac{5}{x + 5}  =  \frac{7}{y + 7}  =  \frac{8}{10}  \\  \\  \implies \frac{5}{x + 5}  =  \frac{8}{10}  \\  \\ 5 \times 10 = 8(x + 5) \\  \\ 50 = 8x + 40 \\  \\ 50 - 40 = 8x \\  \\ 10 = 8x \\  \\  \frac{10}{8}  = x \\  \\ x = 1.25 \\  \\  \\ \frac{7}{y + 7}  =  \frac{8}{10} \\  \\ 7 \times 10 = 8(y + 7) \\  \\ 70 = 8y + 56 \\  \\ 70 - 56 = 8y \\  \\ 14 = 8y \\  \\  \frac{14}{8}  = y \\  \\ y = 1.75

3 0
2 years ago
Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts. He records the
Alchen [17]

The coordinate will be (5, 12). Then the number of balloons that a group of 5 people pops will be 12.

<h3>What is coordinate geometry?</h3>

Coordinate geometry is the study of geometry using the points in space. Using this, it is possible to find the distance between the points, the dividing line is m:n ratio, finding the mid-point of the line, etc.

Rami works at a carnival dart game where groups of people try to pop balloons taped to a wall by throwing darts.

He records the number of people in each group and the total number of balloons they pop.

This graph represents Rami’s data.

Then the number of the balloons that a group of 5 people pops will be

The coordinate will be given as

⇒ (5, 12)

More about the coordinate geometry link is given below.

brainly.com/question/1601567

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5 0
1 year ago
Which expression can be simplified as
DedPeter [7]

Answer:

4th is correct answer. 1, 2, 3 not correct you can check the exponents properties

3 0
3 years ago
I need help assap
Bad White [126]
It’s 2=x because you have start with 2 then 5
5 0
2 years ago
An angle measured 10 degrees less than the measure of its complementary angle. Find the measure of both angles
Mazyrski [523]

Answer:

The measure of the angles are 40 degrees and 50 degrees

Step-by-step explanation:

Let

x ----> the measure of one angle in degrees

y ----> the measure of the complementary angle in degrees

we know that

If two angles are complementary, then their sum is equal to 90 degrees

so

x+y=90 ----> equation A

we have that

x=y-10 ----> equation B

Substitute equation B in equation A and solve for y

(y-10)+y=90\\2y-10=90\\2y=100\\y=50

Find the value of x

x=50-10=40

therefore

The measure of the angles are 40 degrees and 50 degrees

3 0
3 years ago
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