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allsm [11]
3 years ago
15

What is the measure of the central angle of a circle with radius 30 centimeters that intercepts an 18π centimeters arc?

Mathematics
1 answer:
puteri [66]3 years ago
8 0
The circumference of the circle when r=30 is C=60π
the arc is 18π, it is 18π/60π=3/10 of the whole circle
the arc is 3/10 of 360 degree, which is 108 degree
the central angle measures the same as the arc, 108 degree.
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olga55 [171]

Answer:

y=10x-170

Step-by-step explanation:

This problem can be modeled by a linear function, where we have two points (37°C, 200) and (32°C, 150).

Notice that the temperature is the independent variable, because the heartbeat of the cat won't change the temperature, it works in the opposite way.

First, let's find the constant ratio of change.

m=\frac{150-200}{32-37}=\frac{-50}{-5}=10

This means the hearbeat of the car changes 10 pulses per minute each 1 celsius degree.

Now, we use the point slope formula to find the equation

y-y_{1} =m(x-x_{1} )\\y-150=10(x-32)\\y=10x-320+150\\y=10x-170

Theerefore, the function that represents this situation is

y=10x-170

Where x represents temperature and y represents hearbeats.

6 0
3 years ago
Write your answer for y.
Nonamiya [84]

Answer:

The coordinates of Y' will be:  A'(4, -3)

Step-by-step explanation:

Triangle XYZ with vertices

  • X(-5, -2)
  • Y(-3, 4)
  • Z(-1, 1)

We have to determine the answer for the image Y' of the point Y(-3, 4) with respect to the line mirror y=x.

We know that when P(x, y) is reflected in y = x, we get P'(y, x)

i.e.

The rule of y=x:

  • P(x, y) → P'(y, x)

As we are given that Y(-3, 4), so the coordinates of Y' will be:

A(-3, 4) → A'(4, -3)

Therefore, the coordinates of Y' will be:  A'(4, -3)

4 0
3 years ago
2/3b 6+7=-1 <br><br> What is the value of b?
ZanzabumX [31]

Answer:

i dont know sorry

Step-by-step explanation:

5 0
3 years ago
3) Round answer to the nearest hundredth. *
DochEvi [55]

Answer:

80 mm

Step-by-step explanation:

Pythagorean theorm can be applied here to solve for the length of the last leg, a^{2} + b^{2} = c^{2}, where (a) and (b) are the legs of the triangle and (c) is the hypotenuse. We can rearrange the pythagorean theorm for our purposes like the following:

b = √c^2 - √a^2

  = √(82)^2 - √(18)^2

  = √6724 - √324

  = √6400

  = 80 mm

5 0
3 years ago
What is it’s measure and what kind of angle is formed here? Basically what the question asks dhdjdkdk
777dan777 [17]

right

Answer:

90°

Step-by-step explanation:

Type of angle foremd= right

Measure = 40° + 50° = 90°

Type of angle foremd= right

Measure = 40° + 50° = 90°

4 0
3 years ago
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