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scoray [572]
3 years ago
15

Consider the following circle with center at point O.

Mathematics
1 answer:
Maurinko [17]3 years ago
8 0

Answer:

Chord: RT (and RS and TU, but those are also diameters)

Diameter: RS or TU

Radii: OU, OS, OT, or OR

Step-by-step explanation:

Chord: A line segment joining two points on a curve. Doesn't have to cross the center. (AKA, they have to touch the outer edge of the circle.)

Diameter: Chord that crosses the center of the circle(All examples given above cross center O)

Radius: Line segment that goes from the center of a circle to an endpoint that lies on the circle.

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The altitude above sea level of an airplane just after taking off from an airport on a high plateau is given by the linear funct
Zolol [24]

Answer:

Slope, m = 1100

y-intercept,c = 2491                                                            

Step-by-step explanation:

We are given the following in the question:

y(x) = 1100x + 2491

The above gives the altitude of the airplane above the sea level in feet(y) after x minutes since the take off.

Comparing the above equation, to a general linear equation, we have,

y = mx + c

where m is the slope and c is the y-intercept.

Comparing we get,

Slope, m = 1100

y-intercept,c = 2491

Interpretation:

  • The slope of equation tells us about the rate of change of function with unit increase in value of x. Thus, the altitude of airplane increases 1100 feet when the time increases by 1 minute.
  • The y-intercept is the value of y when x is 0. Thus, the altitude of airplane is 2491 feet when the airplane has not taken off.

6 0
3 years ago
A shop sells mugs in small packs of 4 for £5.50, or large packs of 12 for £15. Caleb buys one large pack and two small packs of
In-s [12.5K]

Answer:

<u>£1.30</u>

Step-by-step explanation:

Given :-

He buys 2 small packs (4 for £5.50)

and 1 large pack (12 for £15)

Solving :-

Total no. of mugs = 2 x 4 + 12 = 20 mugs

Total money spent = 2 x 5.50 + 15 = £26

Mean cost = £26/20 = <u>£1.30</u>

3 0
3 years ago
Read 2 more answers
PLEASE HELP THANK YOU
Katen [24]

Answer:

One metric ton is equal to a 1000 kilograms.

5 0
3 years ago
Hello, I need help with all these problems. So, I would like someone can help me
Vinvika [58]

Answer:

2.  x = \frac{\pi }{4} , \frac{3\pi }{4}, \frac{5\pi }{4}, \frac{7\pi }{4}

3. -0.28

4. a. - \frac{\pi }{6}

b. \frac{3\pi }{4}

Step-by-step explanation:

2. Given that  

2\sin^{2}x = 1

⇒ \sin x = \frac{1}{\sqrt{2} } or  \sin x = - \frac{1}{\sqrt{2} }

Since x belongs to [0,2π).

Therefore, x = \frac{\pi }{4} , \frac{3\pi }{4}, \frac{5\pi }{4}, \frac{7\pi }{4} (Answer)

3. Given that,  \cos \theta = \frac{3}{5}

⇒ \theta = \cos^{-1}(\frac{3}{5}) = 53.13 Degrees  

{Since \theta is in first quadrant}

So, \cos 2\theta = \cos (2 \times 53.13) = -0.28 (Answer)

4. a. Given \sin^{-1}(- \frac{1}{2}) = - \frac{\pi }{6}

b. \cos^{-1}(- \frac{\sqrt{2} }{2} ) = \cos^{-1}(- \frac{1}{\sqrt{2} } ) = \frac{3\pi }{4} (Answer)

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3 years ago
in a game if you roll a six on a six sided number cube you loose a turn. What is the probability you roll a 6
olga nikolaevna [1]
It would be 1/6 since there is only one six on a number cube
5 0
3 years ago
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