Lines that appear to be tangent are tangent. If O is the center of the circle, what is the value of x?

A. 240°
B. 60°
C. 140°
D. 120°

Answer:

a. Center: (-15, 9), Radius: 5

Step-by-step explanation:

Equation of a circle:

The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:

[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]

In this question, we have that:

[tex](x + 15)^2 + (y - 9)^2 = 25[/tex]

Comparing both equations:

[tex]x - x_0 = x + 15[/tex]

[tex]x_0 = -15[/tex]

And

[tex]y - y_0 = y - 9[/tex]

[tex]y_0 = 9[/tex]

The center is [tex](-15,9)[/tex].

For the radius:

[tex]r^2 = 25[/tex]

[tex]r = \sqrt{25} = 5[/tex]

The correct answer is given by option a.

Answer:

75.36

Step-by-step explanation:

bc it sinple math if you think about it

Given:

The term is [tex]\sqrt{-80}[/tex].

To find:

The simplified form of the given term in terms of i.

Solution:

We have,

[tex]\sqrt{-80}[/tex]

It can be written as:

[tex]\sqrt{-80}=\sqrt{80\times (-1)}[/tex]

[tex]\sqrt{-80}=\sqrt{80}\times \sqrt{-1}[/tex]

[tex]\sqrt{-80}=\sqrt{16\times 5}\times i[/tex]         [tex][\because \sqrt{-1}=i][/tex]

On further simplification, we get

[tex]\sqrt{-80}=\sqrt{16}\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\times \sqrt{5}\times i[/tex]

[tex]\sqrt{-80}=4\sqrt{5}i[/tex]

Therefore, the required term is [tex]4\sqrt{5}i[/tex].

Answer: 17 miles

Step-by-step explanation:

47 - 30 = 17

Answer:

B, C

Step-by-step explanation:

Answer:

4 x 3.14 x 2 = 25.12 inches

Step-by-step explanation:

Formula of circumference:

3.14(pi) x 2(the number is just always there when finding circumference) x radius(half of your diameter or just your given radius).

Answer:

[tex]MP = 12[/tex]

Step-by-step explanation:

Given

[tex]LM = (3x + 1), MN = (4x -3), NP = (6x - 5)[/tex]

[tex]LM = NP[/tex]

Required

Find MP

We have:

[tex]LM = NP[/tex]

This gives:

[tex]3x + 1 = 6x - 5[/tex]

Collect like terms

[tex]3x - 6x = -1-5[/tex]

[tex]-3x = -6[/tex]

Solve for x

[tex]x = 2[/tex]

MP is calculated as:

[tex]MP = MN + NP[/tex]

[tex]MP = 4x - 3 + 6x - 5[/tex]

Collect like terms

[tex]MP = 4x + 6x - 3 - 5[/tex]

[tex]MP = 10x - 8[/tex]

Substitute [tex]x=2[/tex]

[tex]MP = 10*2 - 8[/tex]

[tex]MP = 20 - 8[/tex]

[tex]MP = 12[/tex]

Answer:

z=26

Step-by-step explanation:

4z-8+3z+6=180

7z-2=180

7z=182

z=26

Answer:

z=26

Step-by-step explanation:

add the 2 equation together to equal 180

4z-8+3z+6

combine like terms

7z-2=180

add 2 to both sides

7z=182

divide by 7 to isolate z

z=26

Answer:

Step-by-step explanation:

3h<-12

Answer:

3h [tex]\geq[/tex] -12

Step-by-step explanation:

"3 multiplied by a number h" = 3h // "Is at least" = [tex]\geq[/tex] // -12 = -12

Combine these and you get 3h [tex]\geq[/tex] -12

Answer:

790

Step-by-step explanation:

Substitute the value (x = 5) into the following expression, replace the parameter (x) with the value (5) wherever the parameter (x) is present,

[tex]6x^3+8x[/tex]

[tex]6(5)^3+8(5)[/tex]

Simplify use the order of operations. The order to operations is the system of steps that one uses to solve an equation, these steps are the following,

1. Parenthesis

2. Exponents or Radicals

3. Multiplication or Division

4. Addition or subtraction

Quick note, a number to any exponent is equal to the number times itself the number of times the exponent indicates.

Use these steps to simplify the given expression,

[tex]6(5)^3+8(5)\\\\=6(125)+8(5)\\\\=750+40\\\\=790[/tex]

Answer:

u(x)=−2x2+3.

Step-by-step explanation:

v(x )=1x whichever notation you prefer: (u∘v)(x)=u(v(x)).

Answer:

u(x)=−2x2+3.

Step-by-step explanation:

Answer:

first one is correct and second also but in third it is incorrect and fourth is correct so C is incorrect

Answer:

C

Step-by-step explanation:

the quotient of a number means n divided by or n/

and twelve plus four, means that is the second part of the expression

n/ 12+4 would be correct instead of 12/n +4

Answer:

The probability that the system works is 87.75%.

Step-by-step explanation:

Given that a system consists of two independent components in parallel, and the system works if at least one of the components works, if each component works with probability 0.65, to determine what is the probability that the system works the following calculation must be performed:

1 - 0.65 = 0.35

0.35 x 0.35 = X

0.1225 = X

1 - 0.1225 = 0.8775

Therefore, the probability that the system works is 87.75%.

Answer:

Using the height theorem:

[tex]n^2=8*4=32=>n=4\sqrt{2}[/tex]

Now we can easily use the pythagorean theorem:

[tex]8^2+(4\sqrt{2})^2 =64+32=96=>m=\sqrt{96} =4\sqrt{6}[/tex]

9514 1404 393

Answer:

  $705.78

Step-by-step explanation:

Put the given numbers in the formula and do the arithmetic.

  P = $300, r = 0.13, n = 1, t = 7

__

  A = $300.00(1 + 0.13/1)^(1·7)

  A = $300·(1.13^7) ≈ $300·2.35260548

  A = $705.78

There will be $705.78 in the account after 7 years.

Answer: 27.5

Step-by-step explanation:

Answer:

2(1 - x)

Step-by-step explanation:

Twice the difference of 1 and a number

a number = x

The difference of 1 and a number is expressed as :

1 - x

Twice this difference, means the difference of (1-x) multiplied by 2

2 * (1 - x) = 2(1 - x)

Answer:

1 hour 26 minutes

Step-by-step explanation:

3x+5x+12z+15z+8y+7y

8x+17z+15y

Answer:

[tex]3x + 8y - 12 z + 5x - 7y + 15z \\ 8x + y + 3z[/tex]

Step-by-step explanation:

I hope this helps you

Answer:

yesss

Step-by-step explanation:

Answer:

a) 4^6

b) 5^5

c)3^9

d)2^-2

Step-by-step explanation:

When raising a number to a power and then to another power, you can multiply the exponents.

When multiplying numbers with the same base to different exponents, you can add the exponents.

Answer: 64units³

Step-by-step explanation:

The volume of a cube will be gotten by multiplying the value of its side thrice. This means that for example if the cube has a side of xcm, the volume will be:

= x × x × x

= x³

In this case, since the cube has a side of 4 units, the volume will be:

Volume of cube = 4³

Volume of cube = 4 × 4 × 4 = 64unit³

Answer:

you want to muliply the length and width to find area.

Step-by-step explanation:

Answer:

irrational is the only correct term because it's not a perfect Square

Answer:

1. A, B, C, E

2.Im not sure I think A

hope this helps

have a good day :)

Step-by-step explanation:

Answer:

Hello, Here is your answer.

Finding the areas of each of the rectangles and squares of the net of a rectangular prism and adding up those areas gives the surface area or total surface area of the prism. For example, if the length of one side of the cube 4 units then the area of one its face is 4 × 4 = 16 square units.

Answer:

Step-by-step explanation:

By drawing a net, you can see each face of the prism. You can find the areas of each face and then add them together to find the total surface area.

Answer:

huh?

Step-by-step explanation:

whats the questionnnnnnn

Answer:

I will do 1 2 3 and 5 for you:

Since a cube has a given length of 5, we know that all sides will be the same therefore your lengths will be the same.

There are 6 sides of a cube so,

5 x 5 = 25 area of one flat surface.

Now 25(an area of one flat surface) x 6(flat surfaces) = 150 cm for question 1

We need to find area of the two circles:

3(given radius)^2(radius being squared) x 3.14(pi)

3 x 3 = 9

9(after radius being squared) x 3.14(pi) = 28.26(area of one circle)

28.26 x 2 = 56.52 (area of 2 circles)

Now we need to find the round surface, but first we need to find circumference:

2 x 3.14 x 3 = 18.84

18.84(circumference) x 5(height) = 94.2 (area of round surface)

Now lets add all the given areas to find surface area:

56.52 + 94.2 = 150.72 cm^2 is your answer for question 2

2 x 4 = 8

8 x 2 = 16

4 x 5 = 20

20 x 2 = 40

2 x 5 = 10

10 x 2 = 20

Add all given areas:

16 + 40 + 20 = 76 cm^2 is your answer for question 3

452.16 cm^2

4 x 3.14 x 6^2

4 x 3.14 x 36 = 452.16 cm^2 is your answer for question 4

8 x 4 = 32, 32 divided by 2 = 16

since there are 4 sides,

4 x 16 = 64

Don't forget the bottom!

4x 4 = 16

Lets add the given areas:

64 + 16 = 80 for question 5