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Svetlanka [38]
3 years ago
8

What are the relationships among radii, chords, tangents, and inscribed and circumscribed angles?

Mathematics
2 answers:
Mars2501 [29]3 years ago
6 0
These are all parts of circles.

A radius is the distance from the center of a circle to the edge.

A chord is a line segment from 2 different places on a circle.

A tangent is a line that touches the edge of a circle in only 1 place.

Inscribed angles are inside a circle and circumscribed angles are on the outside of a circle.
serious [3.7K]3 years ago
5 0

Step-by-step explanation:

Radii : Radii is the plural of radius. A radius is the distance measured from the the center of the circle to one side of the circle touching the circumference of the circle.

Chords : A chord is any straight line segment touching any two points on the circumference of the circle.

Tangents : A tangent is a straight line passing through a point at the circumference of the circle . Tangent is always at right angle to the radius at that point. It passes through only one point at the circumference.

Inscribed angles : Inside a circle when two chords meet at a point, they make an angle called as the Inscribed angle. An inscribed angle is always formed inside the circle.

Circumscribed angle : A circumscribed circle is formed when two tangents of a circle intersect s at a point. A circumscribed angle is always formed outside the circle.

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inessss [21]
I attached a photo of my work below; I just screenshotted the photo you provided. I apologize in advance for any mistakes, it’s 1 am and I’m in need of some sleep. However, I hope it helps otherwise. Have a good one!

8 0
3 years ago
Read 2 more answers
Kayla and Bianca each bought one raffle ticket at the school fair. If 50 tickets were sold, what is the probability Kayla bought
Leona [35]

The total tickets sold at the fair = 50 tickets.

Kayla and Bianca each bought one ticket, it could be any numbered. We can start with anyone and find their probability.

If Kayla got ticket numbered #7, its probability would be 1 out of 50.  

Then there would be 49 tickets remaining for Bianca at the fair.

If Bianca got ticket numbered #10, it probability would be 1 out of 49.

Total probability of (Kayla getting #7 AND Bianca getting #10) would be 1/(50x49) = 1/(2,450) = 0.0004081 = 0.0408%.

Hence, final answer is \frac{1}{2,450} \;or\; 0.0004081 \;or\; 0.0408\%.

8 0
3 years ago
What is the volume of a cube with a side length of 5?
larisa [96]

Answer:

125

Step-by-step explanation:

L x W x H

All are equal sides so 5 are all the lengths of each side of the cube.

6 0
3 years ago
What is the slope of this line?
Brums [2.3K]

Answer:

slope=\frac{1}{4}

Step-by-step explanation:

The slope of a line can be seen as:

\frac{rise}{run}

Rise over run is the change in the y values over the change in x values. For example, in this graph, you would start on one of the points given. From there, you would move up first. After moving up a certain number of spaces, you would move to the side until you reach the other point.

In the graph, you would move up until you are in line with one of the other points. Starting at (-4,5), move up one space, then to the left 4 spaces to reach the point (0,6). Using the spaces moved in the rise over run:

\frac{1}{4} =\frac{rise}{run}=slope

Therefore, the slope is \frac{1}{4}.

This is true for any two points on the line.

:Done

*When you move up, the number will be positive (\frac{+y}{x} ). If you move down, the number will be negative (\frac{-y}{x} ). If you move left, the number will be positive (\frac{y}{+x}). If you move right, the number will be negative (\frac{y}{-x} ). Keep this in mind. It is very important.

**Always <em>move along the y-axis first</em>, then move along the x-axis. If you do it the other way, the slope will be wrong.

6 0
3 years ago
A university researcher wants to estimate the mean number of novels that seniors read during their time in college. An exit surv
lys-0071 [83]

Answer:

Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

Step-by-step explanation:

Given - A university researcher wants to estimate the mean number

            of  novels that seniors read during their time in college. An exit

            survey was conducted with a random sample of 9 seniors. The

            sample mean was 7 novels with standard deviation 2.29 novels.

To find - Assuming that all conditions for conducting inference have

              been met, which of the following is a 94.645% confidence

              interval for the population mean number of novels read by

              all seniors?

Proof -

Given that,

Mean ,x⁻ = 7

Standard deviation, s = 2.29

Size, n = 9

Now,

Degrees of freedom = df

                                = n - 1

                                = 9 - 1

                                = 8

⇒Degrees of freedom = 8

Now,

At 94.645% confidence level

α = 1 - 94.645%

   =1 - 0.94645

  =0.05355 ≈ 0.05

⇒α = 0.5

Now,

\frac{\alpha}{2} = \frac{0.05}{2}

  = 0.025

Then,

t_{\frac{\alpha}{2}, df }  = 2.306

∴ we get

Population mean = x⁻ ± t_{\frac{\alpha}{2}, df } ×\frac{s}{\sqrt{n} }

                           = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

⇒Population mean = 7 ± 2.306 × \frac{2.29}{\sqrt{9} }

3 0
3 years ago
Read 2 more answers
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