AC is tangent to circle o at point c. What is the length of AC? ___________ units. diagram below pls help

AC Is Tangent To Circle O At Point C. What Is The Length Of AC? ___________ Units. Diagram Below Pls

Answers

Answer 1

Answer:

AC = 4 units

Step-by-step explanation:

[tex] OB = OC = 3 (Radii \:of \:same \:circle) \\

OA = OB + AB = 3 + 2 = 5\\

OA \perp AC.. (tangent\: \perp radius) \\

\therefore m\angle OCA = 90\degree \\[/tex]

By Pythagorean theorem:

[tex] AC^2 = OA^2 - OC^2 \\

= 5^2 - 3^2 \\

= 25-9\\

= 16\\

AC =\pm \sqrt{16}\\

AC = \pm 4[/tex]

Since, side of a triangle can't be negative.

Therefore, AC = 4 units


Related Questions

Suppose a triangle has sides a, b, and c, and the angle opposite the side of length b obtuse. What must be true?​

Answers

Answer:

C

Step-by-step explanation:

If the angle opposite b is the obtuse angle then the answer is a² + c² < b² because in an obtuse triangle, the sum of the squares of the shortest sides must be less than the square of the longest side. In this case, the longest side is the one opposite the largest angle, which is b.

Answer:

C.

Step-by-step explanation:

In triangles, the largest angle is always opposite from the longest side.

In other words, since the angle opposite to side b is obtuse and there are only 180 degrees in a triangle, then side b must be the longest side.

In an obtuse triangle, the longest side squared will always be greater than the squared values of the two shorter sides.

The correct answer is C.

Francisco states the following: When two or more factors are multiplied and they have the same sign, the product is positive. List two examples that support Francisco's statement. Show their products.​

Answers

Answer: Francisco is correct

Step-by-step explanation:

Positive 4 and positive 7

Negative 3 and negative 2

4 * 7 = 28

-3 * -2 = 6

X=2 in standard form

Answers

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

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Please answer this question now in two minutes

Answers

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

The answer is the first option A

Acellus
Find the value of x that will make
L||M.
2+5
x-5
--
X -
- [?]

Answers

Answer:

x = 60

Step-by-step explanation:

L // M

Sum of co-interior angles = 180

2x + 5 + x - 5 = 180

Add the like terms

3x + 0 = 180

3x = 180

Divide both sides by 3

3x/3 = 180/3

x = 60

PLEASE ALL YOU NEED TO DO IS MATCH NUMBERS *Drag the tiles to the correct boxes to complete the pairs. Match the algebraic addition of each pair of complex numbers to its sum represented graphically.*

Answers

Answer:

1) A = (3 + 5·i) + (2  - 3·i)

2) A = (-3 + 5·i) + (-2  - 3·i)

3) A = (-3 + 5·i) + (2  + 3·i)

4) A = (3 - 5·i) + (2  + 3·i)

Step-by-step explanation:

1) For the first chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 + 5·i) + (2  - 3·i)

2) For the second chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (-2  - 3·i)

3) For the third chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (-3 + 5·i) + (2  + 3·i)

4) For the fourth chart, we have;

To go from the start point to get the new line, we add the coordinates of the red line end point to the coordinates of the starting line end point as follows

A = (3 - 5·i) + (2  + 3·i)

List the numbers that are in set (A U B)'

Answers

Answer

Step-by-step explanation:

(A U B) means that we should list the numbers that are in both A and B 12/8/10 are for example  in both A and B THE COMPLEMENT is anything that is out ( A U B ) so 1,3 and 5

translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?

Answers

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

Pleas answer this is in two minutes

Answers

Answer:

b

Step-by-step explanation:

not a because equilateral would be all equal

scalene is all different

Answer:

scalene

Step-by-step explanation:

because all  sides are different.

Please answer this question now in two minutes

Answers

Answer:

c. Not enough information

The second angle of a triangle is double the first angle. The third angle is 40 less than the first angle. Find the three angles.

Answers

Answer:

Angle 1: 55

Angle 2: 110

Angle 3: 15

Step-by-step explanation:

Angle 1: x

Angle 2: 2x

Angle 3: x-40

The total degrees for all the angles in a triangle add up to 180, so we now have the equation x+2x+x-40=180. From here we solve to get 55 degrees for x, so angle 1 is 40 degrees, angle 2 is 110 (2 times 40) and the third angle is 15 (55-40).  

PLEASE HELP WITH THIS 25POINTSSSS!!!!!!

Answers

I wanna say C but than agian if it’s 25 pions I don’t want you to be wrong

Please help me!!!!!!!!!!!!!!!!!

Answers

Answer:

A is the correct option.

Step-by-step explanation:

1/12 = 0.0833333333

Answer:

Option A

Step-by-step explanation:

=> [tex]\frac{1}{12}[/tex] = 0.8333.........

=> [tex]\frac{7}{8}[/tex] = 0.875

=> [tex]\frac{14}{25}[/tex] = 0.56

=> [tex]\frac{17}{20}[/tex] = 0.85

=> [tex]\frac{6}{10}[/tex] = 0.6

So, 1/12 is the repeating decimal whose digits are periodic and repeats infinitely.

What is the difference between the Segment Addition Postulate and the Midpoint of a Segment? 

Answers

Answer:

Does this help?

Step-by-step explanation:

Segment Addition Postulate: If B is between A and C, then AB + BC = AC. In geometry two objects that have the same size and shape are called congruent. ... The midpoint of a segment is the point that divides the segment into two congruent segments.

H(x)=-5x^2+10x+15h(x)=−5x 2 +10x+15h, left parenthesis, x, right parenthesis, equals, minus, 5, x, squared, plus, 10, x, plus, 15 What is the height of the stone at the time it is thrown?

Answers

Answer:

15 units

Step-by-step explanation:

Given the equation which models the path of a stone as:

[tex]H(x)=-5x^2+10x+15[/tex]

At the time when the stone was thrown

x=0

Therefore:

[tex]H(0)=-5(0)^2+10(0)+15\\H(0)=15[/tex]

The height of the stone at the time it is thrown is 15 units.

el 2 porsiento del 2 porsiento del 2 porsiento de 100 es uno

Answers

Answer:

No... El 2 porsiento del 2 porsiento del 2 porsiento de 100 es 0.0008.

Step-by-step explanation:

100 * 2% = 100 * 0.02 = 2

2 * 2% = 2 * 0.02 = 0.04

0.04 * 2% = 0.04 * 0.02 = 0.0008

Ifx=-3 is the only x-intercept of the graph of a quadratic equation, which statement best describes the discriminant of the
equation?

Answers

Answer:

D = 0

Step-by-step explanation:

Given

x-intercept = -3

Required

What does the discriminant represent?

The discriminant of a quadratic function can take any 3 values; these are as follows;

When D > 0 When D < 0When D = 0

Which translates to

signifies that two different real roots existsignifies that only complex roots existsignifies that the two identical real roots exist

The question says that x-intercept = -3 is the only value;

This means that: x = -3 or x = -3

Analyzing the roots

3 and -3 are identical-3 and -3 are real

This means they satisfy condition number 3;

Hence, D = 0

Subtracting Rational Numbers Simplify –3 – 1.

Answers

Answer:

-4

Explanation:

when subtracting a positive integer from a negative, the answer becomes smaller. If the question were to ask -3-(-1) negative 3 minus negative 1, the subtraction sign becomes a addition sign, and you add 1 to -3.

Answer: -4

Step-by-step explanation: To subtract the integers -1 - 1, I would first change the minus sign to plus a negative.

So we have -1 + -1.

Now let's use a number line to find our answer.

Starting at 0, -3 moves us 3 units to the left, then from there,

-1 moves us 1 more unit to the left and we end up at -4.

So -3 + -1 is -4.

A pattern is made from 4 congruent squares the sides of the squares are parallel to the axis

Answers

Answer:

Coordinate of C =  (22, 20)

The Complete Question related to this found at ELEVISE website is stated below:

A pattern is made from four identical squares. The sides of the squares are parallel to the axes. Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Point C is marked on the diagram.

Work out the coordinates of C.

Step-by-step explanation:

Coordinates (x, y)

Point A has the coordinates (6, 7)

Point B has the coordinates (38, 36)

Find attached the drawing

From the labelled diagram

Change in y = 36-7 = 29

Change in x = 38-6 = 32

Using the horizontal axis:

The length of congruent 4 squares is between 38 and 6 = 32

The length of each congruent 4 squares = 32/4

The length of each congruent 4 squares = 8

Therefore the dimensions of the square is 8 by 8

Coordinate of C (x, y)

For x axis = 38 - length of 2 squares OR 6+ length of 2 squares

38 - length of 2 squares =38 - 2(8)

= 38-16 = 22

For y axis = 36 - length of 2 squares

= 36 - 2(8)

= 36-16 = 20

Coordinate of C =  (22, 20)

Please help me with trig I’d really appreciate

Answers

Answer:

2 root 10/ 7, or the second option.

Step-by-step explanation:

If a is 3, then b is root 40. (Pythagorean)

root 40= root 4x10, or 2 root 10

Tangent= opposite/hypotenuse

Tangent= 2 root 10/ 7

simplify 3 x (x + 2) + 2 x ( 1 - x)​

Answers

Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Cameron Indoor Stadium at Duke University is one of the most revered sites in all of college basketball, as well as in all of sports period. Duke’s men’s and women’s basketball programs have attained quite a few wins in the building over the last seventy years. Cameron Indoor Stadium is capable of seating 9,460 people. For each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance. If each ticket costs $45.50, find the domain and range of this function.

Answers

Answer:

Step-by-step explanation:

The domain of a function is the set of values that satisfies the independent variable while the range of the function is the set of values that satisfies the dependent variable.

Since for each game, the amount of money that the Duke Blue Devils’ athletic program brings in as revenue is a function of the number of people in attendance, then the dependent variable is the amount of money while the independent variable is the number of people. The domain is between 0 and 9460 people. Therefore, the domain of this function is

0 ≤ x ≤ 9460

Where x represents number of people.

For the range, the lowest total sales is 0 × 45.5 = $0

The highest total sales is

9460 × 45.5 = $430430

The range is

0 ≤ y ≤ 430430

Where y represents total sales

TWO MINUTES HELP MY PLEASE

Answers

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

Solve for g. 3/16 = (-5/4) + g

Answers

Answer:

g = 23/16

Step-by-step explanation:

3/16 = (-5/4) + g

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Fill in the blanks to solve 2{,}000 \times 92,000×92, comma, 000, times, 9. 2{,}000 \times 92,000×92, comma, 000, times, 9 Step 111 {} \times \ 2 \times 9× 2×9times, space, 2, times, 9 Step 222 {}\times \ 18× 18times, space, 18 Step 333

Answers

Answer:

[tex]\boxed{}[/tex] =1,000

Step-by-step explanation:

We want to solve: [tex]2{,}000 \times 9[/tex]

Now, 2000=1000 X 2

We were given the following steps:

[tex]S$tep 1: \boxed{1000} \times \ 2 \times 9\\S$tep 2: =\boxed{1000} \times \ 18\\S$tep 3: =18,000[/tex]

Therefore, the blank space is to be filled with 1000.

[tex]2{,}000 \times 9 =18{,}000[/tex]

someone help me I will give brainliest:)​

Answers

Answer:

Hello There. The correct answer is 10^(-4)

Explanation: 0.000 038 52 x 3.852 = Hope it Helps! ♡ 10^(-4)

ItsNobody~

(-3,0) m = 2
Finde slope intercept form

Answers

Answer: y = 2x + 6

Step-by-step explanation:

Slope-Intercept form is represented by y = mx + b, whereas m represents the slope and b represents the y-intercept.

m = 2 is the slope (up 2 units, over 1 unit) and the line goes through 6 on the y-axis, which is where + 6 comes in.

The line also goes through (-3, 0) using the slope.

4/5 of a number is 32​

Answers

Answer:

x = 40

Step-by-step explanation:

Step 1: Write out an equation

4/5(x) = 32

Step 2: Solve by dividing both sides by 4/5

x = 32/(4/5)

Use KCF (Keep Change Flip) if you do not have a calc.

x = 40

Answer:

The answer is 40

Step-by-step explanation:

32 times 5 is 160

then: 160 divided by 4 is 40.

check the answer: 4/5 of 40 is 32

because 40 divided by 5 is 8 and then times 8 by 4, so the answer would be 40.

Hope this helps!!!

this Venn diagram shows was played by 10 students let event A = was the same play basketball like even see it with a student play soccer what is a P(A OR B)

Answers

Answer:

B. 3/5 is correct.

Step-by-step explanation:

P(A or B) is the number of students within either set (circle) divided by the total number of students (10).

There are 6 students (3+1+2)  in the sets, so

P(A or B) = 6/10 = 3/5

Answer B. 3/5 is correct.

The value of P(A or B) from the Venn diagram is 2/5.

What is a Venn diagram?

A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.

We have,

Event A = Students that play basketball

Event B = Students that play Soccer

Now,

From the Venn diagram,

P(A) = 3/10

P(B) = 2/10

P(A ∩ B ) = 1/10

Now,

P(A or B) = P(A U B ) = P(A) + P(B) - P (A ∩ B)

So,

P(A U B )

= P(A) + P(B) - P (A ∩ B)

= 3/10 + 2/10 - 1/10

= (3 + 2 - 1) / 10

= 4/10

= 2/5

Thus,

The value of P(A or B) is 2/5.

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Which best explains why these two figures are similar or not similar?

Answers

Hey there! :)

Answer:

These two figures are similar because 5/3 equals 15/9.

Step-by-step explanation:

These figures are similar to each other, which means the side-lengths are proportional. Therefore:

[tex]\frac{5}{9} = \frac{15}{9}[/tex]

Side-lengths 15 and 9 are proportional to 5 and 3 because the two fractions are equivalent; the larger rectangle is just 3 times larger.

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