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3 years ago

A circle with circumference 6 has an arc of 60 degrees central angle. What is the length of the arc

Mathematics

1 answer:

nata0808 [166]3 years ago

7 0

The length of the arc is 1.06m. hope that helps!

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Use a unit circle, a 30 degrees - 60 degrees - 90 degrees triangle, and an inverse function to find the degree measure of the

PolarNik [594]

150 is the answer I don’t think it is right

8 0

3 years ago

Consider the equation x+4=−2x+19. Let f(x)=x+4and g(x)=−2x+19. The graph of each function is shown. Coordinate plane with the gr

Svetach [21]

The point of intersection of both graphs will have the coordinate (5, 9).

<h3>What is the Point of Intersection of the Graph?</h3>

We are given the functions;

f(x) = x + 4

g(x) = -2x + 19

Now, the point of intersection of both graphs is when both functions are equal which is at f(x) = g(x). Thus;

x + 4 = -2x + 19

x + 2x = 19 - 4

3x = 15

x = 15/3

x = 5

Thus;

f(x) = 5 + 4 = 9

g(x) = -2(5) + 19 = 9

Thus, the point of intersection of both graphs will have the coordinate (5, 9)

Read more about Graph Intersection at; brainly.com/question/11337174

#SPJ1

4 0

1 year ago

Hugh bought some magazines that cost $3.95 each and some books that cost $8.95 each. He spent a total of $47.65. Let m represent

finlep [7]

Answer:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

Step-by-step explanation:

3.95(3) + 8.95b = 47.65

11.85 + 8.95b = 47.65

Subtract 11.85 from both sides.

8.95b = 35.8

Divide 8.95 from both sides.

b = 4

Hugh bough 4 books.

3 0

2 years ago

~khan academy 7th grade

pickupchik [31]

Question:

Which of the following expressions represents the distance between 1.7 and −1/2 on a number line?

Choose 1 answer:

$A.\ |1.7 - 1/2|$

$B.\ |1.7 -(-1/2)|$

C. None of the above

Answer:

$B.\ |1.7 -(-1/2)|$

Step-by-step explanation:

Given

Numbers: 1.7 and -1/2

Required

Determine the distance

To calculate the distance, we start by calculating the difference between the given numbers;

$Difference = 1.7 - (-1/2)$

Then, we calculate the distance;

<em>In this case, the distance is meant to be positive; So, we'll introduce the symbol for absolute value;</em>

Hence,

$Distance = |Difference|$

Substitute $1.7 - (-1/2)$ for Difference;

$Distance = |1.7 - (-1/2)|$

<em>Hence, the correct option is B</em>

4 0

2 years ago

Read 2 more answers

A cylinder is filled with 900 liters of water.find the area of its base if height of cylinder is 20dm.

Lisa [10]

The formula of the volume of a cylinder:

$V=\pi r^2H\\\\where:\\\\r-a\ radius\\H-a\ height\\\pi r^2-an\ area\ of\ base$

We have:

$V=900\ liters\\1L=1dm^3\ therefore\ V=900L=900dm^3$

and

$H=20\ dm$

substitute:

$\pi r^2\cdot20=900\ \ \ |:20\\\\\pi r^2=45\ dm^2$

Answer: The area of a base of the cylinder is equal 45 dm².

5 0

3 years ago