Find the circumference of the circle. Use as part of the answer

9514 1404 393

Answer:

  x = 12

Step-by-step explanation:

The two marked angles are a linear pair, so are supplementary.

  (8x -20)° +(8x +8)° = 180°

  16x -12 = 180 . . . . . . . . . . . divide by °, collect terms

  16x = 192 . . . . . . . . . . . add 12

  x = 12 . . . . . . . . . . . divide by 16

Answer:

[tex]y=\frac{2}{3} x-1[/tex]

Step-by-step explanation:

Linear equations are typically organized in slope-intercept form:

[tex]y=mx+b[/tex] where [tex]m[/tex] is the slope and [tex]b[/tex] is the y-intercept (the value of y when the line intercepts the y-axis)

1) Find the slope of the line (m)

The equation for slope: [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] when the given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (3,1) and (6,3)

[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]=\frac{3-1}{6-3}\\=\frac{2}{3}[/tex]

Now, plugging this back into [tex]y=mx+b[/tex], our equation looks like this:

[tex]y=\frac{2}{3} x+b[/tex]

2) Find the y-intercept of the line

To find the y-intercept, we take the equation that we have so far and plug in any given point to solve for b. For example, we can use the point (3,1):

[tex]1=\frac{2}{3}*3+b\\1=2+b[/tex]

Subtract both sides by 2 to isolate b

[tex]1-2=2+b-2\\-1=b[/tex]

3) Plug m and b into y=mx+b

[tex]y=\frac{2}{3} x-1[/tex]

I hope this helps!

Answer:

6 ways

Step-by-step explanation:

William has a sticker album.

We are told in the question that:

Some pages have 1 sticker on them, and other pages have 2 stickers on them. If William has 18 stickers

The many different ways that can he put the stickers in the album is calculated as:

18 stickers ÷ ( 1 stickers + 2 stickers)

= 18 ÷ 3

= 6 ways

Therefore, the different ways that he can put the stickers in the album is 6 ways

Answer: 9x-15

Step-by-step explanation:

Given

34x-(25x-3)-18

Expand parenthesis

34x-25x+3-18

Put like terms together

(34x-25x)+(3-18)

Combine like terms

9x-15

Hope this helps!! :)

Please let me know if you have any questions

Answer:

a) The length of its edge is 8 units.

b) The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Step-by-step explanation:

a) The volume of a cube ([tex]V_{c}[/tex]), measured in cubic units, is defined by the following expression:

[tex]V_{c} = L^{3}[/tex] (1)

Where [tex]L[/tex] is the side length of the cube, measured in units.

If we know that [tex]V_{c} = 512\,u^{3}[/tex], then the length of its edge is:

[tex]L = \sqrt[3]{V_{c}}[/tex]

[tex]L = 8\,u[/tex]

The length of its edge is 8 units.

b) The volume of a sphere ([tex]V_{s}[/tex]), measured in cubic units, that fits snugly inside this cube is defined by:

[tex]V_{s} = \frac{\pi}{6}\cdot L^{3}[/tex] (2)

If we know that [tex]L = 8\,u[/tex], then the volume of the sphere is:

[tex]V_{s} \approx 268.083\,u^{3}[/tex]

The volume of the sphere is approximately 268.083 cubic units.

c) The fraction of the cube taken by the sphere is the ratio of the volume of the sphere to the volume of the cube. That is to say:

[tex]r = \frac{V_{s}}{V_{c}}[/tex]

If we know that [tex]V_{c} = 512\,u^{3}[/tex] and [tex]V_{s} \approx 268.083\,u^{3}[/tex], then the fraction of the cube that is taken up by the sphere is:

[tex]r = 0.524[/tex]

The result in percentage form is calculated by multiplying the result above by 100.

[tex]\% r = 52.4\,\%[/tex]

The fraction of the cube that is taken up by the sphere is 0.524, whose equivalent in percentage form is 52.4 %.

Answer:

15m

Step-by-step explanation:

(see attached)

Answer:

4/5

Step-by-step explanation:

Answer:

The first,  4th and  6th are rational.

Step-by-step explanation:

The second, third and 5th are irrational.

Answer:

f = [tex]-\frac{5}{3}[/tex]

Step-by-step explanation:

Multiply both sides of the equation by [tex]-\frac{4}{3}[/tex]

f = -4/3 * 5/4

Simplify both sides of the equation.

f = [tex]-\frac{5}{3}[/tex]

i hope this helps :)

The inequality representing the problem will be x+3 ≥ 8

A relationship between two expressions or values that are not equal to each other is called inequality.

Given that, Brad has $75 in his savings account and adds $25 every month he doesn't make any withdrawals from the account, and saves at least $200.

Let the number of months be x,

75 + 25x ≥ 200

25(3+x) ≥ 200

x+3 ≥ 8

Hence, The inequality is x+3 ≥ 8

For more references on inequality, click;

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Answer:

Put the thing at the 6 going forward. The inequality would be w>6

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

(x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

Transformations are changes done in the shapes on a coordinate plane by rotation, reflection or translation.

here, we have,

Given the rule of transformation:

(x, y) → (x+2, y+3)

If we move horizontally 2 units to the right, 2 is added to the x-coordinate of any given point, and then 3 units up.

In other words,

(x, y) → (x+2, y+3) means Translation 2 units right and 3 units up.

For example,

Let say if we have the point A(4, 5)

Using the translation rule:

(x, y) → (x+2, y+3)

A(4, 5) → A'(4 + 2, 5 + 3) → A'(6, 8)

Therefore, the new position of A(4, 5) after translating 3 units right and 2 units up would be: A'(6,8).

Hence, (x, y) → (x+2, y+3) means a translation 2 units to the right and 3 units up.

To learn more on transformation  click:

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Answer:

its undefined

Step-by-step explanation:

Answer:

4/10 and 10/25 ok

3/5 and 9/25 not ok

4/11 and 6/13 not ok

4/9 and 9/4​ not ok

Step-by-step explanation:

Answer:

157 degrees.

Step-by-step explanation:

If lines are parallel, then alternate exterior angles are congruent.

Complete question :

Leah is creating satin bows for a wedding. From a 15-meter-long ribbon, she first cuts a piece 3 4/9 meters long. Then she cuts a piece 6 5/9 meters long from the remaining ribbon. How much ribbon does Leah have left?

Answer:

5 m

Step-by-step explanation:

Total ribbon cut :

3 4/9 + 6 5/9 =

31/9 + 59/9

= 90 /9

= 10 meters

Total Length of ribbon = 15 m

Ribbon left :

15 - 10 = 5 m

Answer:

y = 181

Step-by-step explanation:

Doubling Formula:

[tex]y = a(2)^\frac{t}{d}[/tex]

y=80

d=17

t=20

​

plug in

y=80(2)[tex]^\frac{20}{17}[/tex]

y=180.818525349

y≈181

i hope this helps some!

Answer: 149

Step-by-step explanation:

Given:

The given statement are:

a. Eight less than the product of seven and x.

b. The sum of six and the product of three and d.

To find:

The expression for the given statements.

Solution:

a.

Product of 7 and x is 7×x = 7x.

Eight less than the product of seven and x is 7x - 8.

Therefore, the required expression for the statement "Eight less than the product of seven and x" is 7x-8.

b.

Product of 3 and d is 3×d = 3d.

The sum of six and the product of three and d is 6+3d.

Therefore, the required expression for the statement "The sum of six and the product of three and d" is 6+3d.

This question is dealing with classification of triangles based on angles or on number of equal sides.

the triangle is called an Obtuse Scalene Triangle

- Acute angle is when the angle measures between 0 and 90 degrees.

- Obtuse angle is when the angle is greater than 90 but less than 180 degrees.

- right angle is when the angle is exactly 90 degrees.

- Reflex angle is when the angle is greater than 180 but less than 360 degrees.

- Isosceles triangle is one that has  2 equal sides.

- Equilateral triangle is one that has 3 equal sides.

- Scalene triangle is one that has no equal sides.

The lengths of the three sides of the triangle given are;

5 cm, 9 cm, and 12.7 cm

The three sides are not equal and from definition above it is called scalene triangle.

The angle given is 128° and from definition earlier, it is an obtuse angle.

In conclusion, the triangle is called an Obtuse Scalene Triangle

Read more at; brainly.com/question/8704415

Answer:

The answer is 2/4

Step-by-step explanation:

Answer:

The number of values we can get on a standard number cube is 1,2,3,4,5,6 - and so 6 values.

Step-by-step explanation:

Answer:

2s + 5a > 1000

s + a < 500

Key:

s represents a sold student ticket

a represents a sold adult ticket

Answer:

-14

Step-by-step explanation:

Well, the equation would be 8+2n=-20

2n=-28

n=-14

Answer:

2x + 8 + = 20

8 + 12 is 20 so x must be 6 i think

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

12234

erttyy

23567

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Answer:

36x+4

Step-by-step explanation:

4*1+4*9x

Answer:

Step-by-step explanation:

the Pythagorean theorem is

c is the hypotenuse which is the side opposite of the right angle

plug the numbers into the Pythagorean theorem

[tex]x^2+(\sqrt{26})^2=13^2[/tex]

when squaring a square root, just take the number in the radical and get rid of the radical

[tex]x^2+26=169[/tex]

subtract 26 from both sides

[tex]x^2=[/tex][tex]143[/tex]

find the square root of 143

143 is prime so it can just be written as

[tex]x=\sqrt{143}[/tex]