In circle M, segment AB is tangent to the circle at point C. AB has endpoints such that AM BM  ,


AC  9 and BC  4 . What is the length of the radius of circle M. Show how you arrived at your answer.

Answers

Answer 1

Answer:

6

Step-by-step explanation:

We can use the geometric mean theorem:

The altitude on the hypotenuse is the geometric mean of the two segments it creates.

In your triangle, the altitude is the radius CM and the segments are AC and BC.

[tex]CM = \sqrt{AC \times BC} = \sqrt{ 9 \times 4} = \sqrt{36} = \mathbf{6}\\\text{The radius of the circle M is $\large \boxed{\mathbf{6}}$}[/tex]

In Circle M, Segment AB Is Tangent To The Circle At Point C. AB Has Endpoints Such That AM BM ,AC 9 And
Answer 2

The length of the radius of the circle is 6 units

How to determine the radius of the circle?

The given parameters are:

AC = 9

BC = 4

To calculate the radius (r), we make use of the following equation:

[tex]r = \sqrt{AC * BC}[/tex]

Substitute known values

[tex]r = \sqrt{9 * 4}[/tex]

Evaluate the product

[tex]r = \sqrt{36}[/tex]

Evaluate the square root

[tex]r = 6[/tex]

Hence, the length of the radius of the circle is 6 units

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Related Questions

i need help will give brainliest!!!

Answers

Answer:

B for the first one

Step-by-step explanation:

Answer: B.

Step-by-step explanation:

What is the equation of the quadratic function with a vertex at (2,-25) and an x-intercept at (7,0)?
f(x) = (x - 2)(x-7)
f(x) = (x + 2)(x + 7)
f(x) = (x – 3)(x + 7)
f(x) = (x + 3)(x – 7)

Answers

Answer:  f(x) = (x + 3)(x – 7)

Step-by-step explanation:  Use "standard form" of the function and insert values given: vertex (2,-25) intercept point (7,0)

f(x) = a(x-h)² + k   from vertex, h is 2   y is -25   from intercept,  x is 7  f(x) is 0

to find a,  0 = a(7-2)² +(-25)   0 = a(7-2)² -25  add 25 to both sides

25 = a(5)²  25 = 25a  25/25 = a  1=a  (seems useless but verifies implied "a"coefficient is 1)

f(x) = a(x-h)² + k solve to get the quadratic form

f(x) = (x-2)² -25     (x - 2)² is x² -4x +4

f(x) = x² -4x +4 -25  simplify

f(x) = x² -4x - 21   then factor

f(x) = (x + 3)(x - 7)

Answer:

f(x) = (x + 3)(x - 7)

Answer quick please.

Answers

5/2 = 2.5

4/16 = 0.25

2.5/0.25 = 10

Your answer would be 10

hope it helps!

Can you please help me solve
1/2(4a+8b+2)

Answers

Answer:

hey try photomath

Step-by-step explanation:

.

Answer:

Step-by-step explanation:

[tex]\frac{1}{2}(4a+2b+2)=\frac{1}{2}*2*(2a+b+1)\\\\=2a+b+1[/tex]

Help Plzzzz

A section in a stained glass window is shaped like a trapezoid. The top base is 1 centimeter and the bottom base is 1.5 centimeters long. If the area of the section of glass is 4.5 square centimeters, how tall is the section?

Answers

Answer:

3.6 cm

Step-by-step explanation:

The area of a trapezoid is found by

A = 1/2 (b1+b2)*h

We know the area of 4.5  and the top is 1 and the bottom is 1.5

4.5 = 1/2 (1+1.5) h

4.5 = 1/2 (2.5) h

4.5 =1.25h

Divide each side by 1.25

4.5/1.25 = 1.25h/1.25

3.6 =h

Answer:

[tex]3.6 \: \: cm[/tex]

Step-by-step explanation:

[tex]area \\ 4.5 = \frac{1}{2}(a + b ) \times h \\ 4.5 = \frac{1}{2} (1 + 1.5) \times h \\ 4.5 = \frac{1}{2} \times 2.5 \times h \\ 4.5 = \frac{2.5h}{2} \\ 4.5 = 1.25h \\ \frac{4.5}{1.25} = \frac{1.25h}{1.25} \\ h = 3.6 \: cm[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

True or False: All statements of equality below are correct. Please help!!

Answers

Answer:

True?

Step-by-step explanation:

What is the solution set for
X=-24 and x=-8
X=-24 and x = 24
X=-8 and X=8
X=-8 and x = 24

Answers

Answer:

i'm pretty sure it's B. X=-24 and x=24

Step-by-step explanation:

Can someone help me please

Answers

Answer:

x = 39

Step-by-step explanation:

To solve for x, we have to get it by itself in the equation.

In this problem, we have to do the opposite of subtraction and add 36 to the left and right side of the equation.

3 + 36 = x - 36 + 36

36 + 3 is equal to 39 and -36 + 36 cancels out.

This leaves us with 39 = x.

A sample of bacteria was placed in a petri dish. The number of bacteria changes exponentially over time.
The graph describes the number of bacteria over time in hours).

Answers

Answer:

50

Step-by-step explanation:

Its initial size was 50, because that is the y-intercept. From 50, it increases, so it can't be anything above 50.

Answer:

Step-by-step explanation:50

47 points!!!!!!
if one zero is irrational, the other zero is:
-ration
-irrational
-non real

Answers

Answer

non real

Step-by-step explanation:

Answer:

non real

Step-by-step explanation:

You spin the spinner, flip, a coin, then spin the spinner again. Find the probability of the compound event. The probability of spinning an odd number, not flipping heads, then not spinning six is?

Answers

Answer:

20/81.

Step-by-step explanation:

There are 5 odd numbers in 1 to 9 and 4 even ones.

Prob(Odd number on first spin) = 5/9

Prob(Not flipping heads on second) = 1/2

Prob(Not spinning a 6 on third ) =  8/9

The compound probability is found by multiplying the above ( because each trial is independent of the others):

Answer = 5/9 * 1/2 * 8/9

= 40/162

= 20/81.

HA
Jin recorded the ages (in years) for a sample of 4 zebras from a wildlife preserve. Here are the ages:
2,9, 14, 15
The mean of these ages is 7 = 10 years.
What is the standard deviation?
Round your answer to two decimal places.
8,
years​

Answers

Answer:

5.94

Step-by-step explanation:

Given the following information:

Ages of 4 zebras from a wildlife

2,9, 14, 15

=> the sample mean of this date is

= [tex]\bar X = \frac{\sum_{i=1}^n X_i}{n}[/tex]

=[tex]\bar X = \frac{2+9+14+15}{4}= 10[/tex]

The standard deviation can be determined by using this formula:

[tex]s = \sqrt{\frac{\sum_{i=1}^n (X_i-\bar X)^2}{n-1}}[/tex]

<=> [tex]s = \sqrt{\frac{(2-10)^2 +(9-10)^2 +(14-10)^2 +(15-10)^2}{4-1}} =5.94[/tex]

Kylie went on a road trip with her family. They traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours. What was the total distance in miles that Kylie’s family traveled during this time?

Answers

Answer: 320 miles

Step-by-step explanation:

First, we need to make an equation. However, we can’t fight to label the variables:

t = total number of miles

h = number of hours

Now let’s set up our equation:

t = 50h + 65h

The good thing is that we know how many hours each speed was held for, so we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is 320.

The total distance in miles that Kylie’s family traveled during this time is 320 miles.

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that Kylie traveled at an average speed of 50 miles per hour for 2.5 hours and then traveled at an average speed of 65 miles per hour for 3 hours.

First, we need to make an equation thus we have;

t = total number of miles

h = number of hours

Now let’s set up our equation as;

t = 50h + 65h

Now we can substitute it in the equation.

t = 50(2.5) + 65(3)

t = 125 + 195

t = 320

Therefore, the total number of miles traveled is; 320 miles.

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How does the average rate of change for a square root function behave, for


intervals of fixed lengths over the domain, as the endpoints of the intervals


increase?

Answers

Final answer:

The average rate of change for a square root function decreases as we look at intervals of fixed lengths over the domain and the endpoints of those intervals increase. This is due to the property of the square root function where it's an increasing function but at a decreasing rate.

Explanation:

The average rate of change of a function measures how the output (y-value) changes in comparison to the input (x-value). For a square root function like f(x) = √x, as we look at intervals of fixed lengths over the domain and as the endpoints of those intervals increase, the average rate of change decreases.

This happens because the slope of the tangent line to the function (which represents the rate of change) gets progressively less steep as x increases. Square root functions are increasing functions but at a decreasing rate. For example, the slope between the points (1,1) and (4,2) on the function f(x) = √x is 1/3, but between (4,2) and (9,3), it's 1/5, indicating a decrease in the rate of change.

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mZRTU = 53
OmZQUR = 74
mZOST= 106
mZROS = 106

Answers

Answer:

Use a protractor

Step-by-step explanation:

Im still working on it give me a sec.

Find the surface area of the following composite shape.

Answers

Answer:

130.3 ft²

Step-by-step explanation:

Surface area is the sum of areas of outer faces

2 rectangles + 2 triangles + curved surface area of the cylinder

2(4×6) + 2(½×6×5) + 2×3.14×(2/2)×4

48 + 30 + 25.12

103.12 ft²

I found $3200 in an envelope near my
house. I turned it into the police because it
seemed very suspicious! They said that if
no one claimed it in three years, then I
would get all of the money plus interest.
They put the money into an account that
pays 7.5% interest compounded monthly.
If no one claims the money, how much
would I get at the end of the three years?
A.6379.80
B.12,396
C.4328.53
D.4004.63

Answers

Answer:

The answer is C

Step-by-step explanation:

I did the math

C . 4328.53




Do the math !!

4000+300+20+8

13 BRAINY POINTS + WILL MARK BRAINIST + 5 STARS + THANKS!!!!!!!!!

Answers

Answer: He is correct , equal to, equal to

Step-by-step explanation:

I think

Answer =The answer is correct

idk if my answer is right pls help will give like and brainliest

Answers

Answer:

Yes that would be correct!

Step-by-step explanation:

You need 5a and 34 are needed in the equation and so is the x symbol

Answer:

Step-by-step explanation:

PLEASE HELP?!

Polygon LMNOP ~ Polygon QRSTU What is TU?

Answers

Answer:

The answer is B.

Step-by-step explanation:

9 : 12 = 3 : 4

12 : 16 = 3 : 4

Known :

LMNOP ~ QRSTU

OP = 12

LM = 9

QR = 12

Asked :

TU = ...?

Answer :

[tex] \frac{op}{tu} = \frac{lm}{qr} \\ \frac{12}{tu} = \frac{9}{12} \\ tu = \frac{12 \times 12}{9} \\ tu = \frac{12 \times 12}{3 \times 3} \\ tu = 4 \times 4 \\ tu = 16[/tex]

So, the side of TU is 16 (B)

Hope it helpful and useful :)

Angle A and Angle B are
supplementary. ', angle A is 37
degrees, what is the measure of
angle B?

Answers

Answer:

143°

Step-by-step explanation:

supplementary = add to 180°

180°-37°=143°

Hope this helps :)

Find the volume of a right circular cone that has a height of 7.6 in and a base with a
radius of 11.1 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

980.6

Step-by-step explanation:

V=πr2h

3=π·11.12·7.6

3≈980.5916

Answer:

980.6 in³

Step-by-step explanation:

V=[tex]\frac{1}{3} \pi r^{2} h\\[/tex]

H=7.6          R=11.1

V=[tex]\frac{1}{3} \pi r^{2} h[/tex]

V=[tex]\frac{1}{3} \pi (11.1)^{2} (7.6)[/tex]

V=980.59159815

V=980.6 in³

1) Who in your class has the most pets?
2)How many times did you eat a peanut butter and jelly sandwich last week?
3) How many siblings do you have?
4) How many siblings does the average 6th-grade student have?

Which are the statistical questions? The correct answer gets brainliest

Answers

Answer:

How many siblings does the average 6th-grade student have?

Step-by-step explanation:

In order to know the average, you need to collect all the amounts of siblings 6th grade students have and then you need to add them all together and divide by how much numbers there are and you'll get your average.

Please help!!! Will give Brainly to the best answer!!!

Answers

The correct answer is c?

Quincy folds a piece of cardboard to make the three sides of a triangular prism open at top
and bottom. The triangular prism and the piece of cardboard that he used are shown below.
What is the area of the piece of cardboard?

Answers

Answer:

500 cm2

Step-by-step explanation:

The dimensions of the prism are 7 cm, 9 cm and 20 cm.

So the three areas we want to find are three rectangles, with the sides:

7 cm and 20 cm, 9 cm and 20 cm, 9 cm and 20 cm

The area of each rectangle is:

rectangle_1 = 7 * 20 = 140 cm2

rectangle_2 = 9 * 20 = 180 cm2

rectangle_3 = 9 * 20 = 180 cm2

Summing all these three areas, we have:

Total area = 140 + 180 + 180 = 500 cm2

Answer:

500 Square Centimeters

if you ran a 26 mile marathon at an average speed of 10 mi/hr, how long would it take you to run the marathon?

Answers

Answer:
2hours and 36 minutes

Working out:
2 hours and 6 minutes

Below is the graph of a trigonometric función. It has a maximum point at (-pi, 6.8) and a minimum point at(pi,1.2)
What is the midline equation of the function?

Answers

Answer:

4

Step-by-step explanation:

trust me bro

AB=(8/-4). BC=(6/4)
a) express AC as a column vector


Answer a) AC = (?/?)

Answers

Ac=32 because AC is a column Vector

i need help please ​

Answers

Answer:

-6

Step-by-step explanation:

The y-int is the point where the line crosses the y axis

Going by intervals of 2, it crosses at -6

:)

Factor the polynomial by it’s greatest common monomial factor.
12k^3 - 30k^4

Answers

Answer:

6k^3(2 - 5k)

Step-by-step explanation:

12k^3 - 30k^4

Factor out 6k^3

6k^3(2 - 5k)

Answer:

[tex]6k^3(2-5k)[/tex]

Step-by-step explanation:

Find the GCF, 6.

Factor out [tex]6k^3[/tex]:

[tex]12k^3-30k^4\\6k^3(2-5k)[/tex]

Finito.

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