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Answer:

45° and 135°

Step-by-step explanation:

(a)

The sum of the angles around O = 360°

There are 8 segments from each vertex to O , thus

∠ AOB = 360° ÷ 8 = 45°

The sum of the interior angles of a regular polygon is

sum = 180° (n - 2) ← n is the number of sides

Here n = 8 , then

sum = 180° × 6 = 1080°

In a regular polygon the 8 interior angles are equal, thus

∠ ABC = 1080 ÷ 8 = 135°

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Answer:

  a) angle AOB = 45°

  b) angle ABC = 135°

Step-by-step explanation:

a) The sum of the 8 identical central angles is 360°, so each one has a measure of ...

  angle AOB = 360°/8 = 45°

__

b) The sum of the 8 exterior angles is 360°, so each one is 45°, the same measure as the central angle. The measure of angle ABC is the supplement of the exterior angle at B, so is ...

  angle ABC = 180° -45° = 135°

_____

In the attached image, the central point is your O. Angle AOB is the interior angle of triangle AOB whose vertex is at O.

Answer:

9

Step-by-step explanation:

(-3)²

(-3) × (-3) ∴ [ ( - ) × ( - ) = + ]

9

Thus, (-3)² = 9

-TheUnknownScientist

Answer:

A. 1/2 inch:10 miles

Step-by-step explanation:

1/2*4.5=2 1/4

10*4.5=45

Answer:

Step-by-step explanation:

80-35= 45

45/15=3 so three more rooms are $15 a room

Total rooms are 9. The original 6 plus the additional 3.

80≥35+15x

45≥15x

3=x

Answer:

$1.20

Step-by-step explanation:

$0.90=75%. divide it by 3. =$0.30. do 4 times $0.30. $1.20.

Answer:

75% of what is 0.90

0.75x = 0.90

x = 0.90/0.75

x = 1.20 <== restaurant pays $ 1.20 wholesale

Answer:

12

Step-by-step explanation:

Since this is a right triangle you can you pythagorean theorem.

a^2+b^2=c^2

A= shortest side.

B=middle side.

C=longest/slanted side or hypotenuse.

So AB is the hypotenuse.

BC is the short side.

this means that AC is the middle side. Plug your numbers in.

25 + b^2 =169

b^2=144

b=12

AC=12

Using translation concepts, it is found that the equation of the resulting graph is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The cube root function is given by:

[tex]y = \sqrt[3]{x}[/tex]

The changes are as follows:

Hence, the equation is given by:

[tex]y = \sqrt[3]{x + 7} - 1[/tex]

More can be learned about translation concepts at https://brainly.com/question/4521517

Answer:

x = 10

General Formulas and Concepts:

Order of Operations: BPEMDAS

Step-by-step explanation:

Step 1: Define equation

50 + 30x = 250 + 10x

Step 2: Solve for x

Step 3: Check

Plug in x to verify it's a solution.

Answer:

Results are below.

Step-by-step explanation:

Giving the following information:

Selling price= $60

Unitary variable cost= $28

Fixed costs= $15,000

First, we need to calculate the average total cost:

Average cost= total cost / number of units

For example, for 1 unit and 10,000 units:

1 unit:

Average cost= 15,028/1 = 15,028

10,000 units:

Average cost= (15,000 + 28*10,000) / 10,000

Average cost= $29.5

Now, we can calculate the break-even point in units:

0= (60*x) - (28*x) - 15,000

x= number of units to break-even

0= 32x - 15,000

15,000/32= x

468.75=x

break-even point in units= 469

For the desired profit of $10,000:

10,000 = (60*x) - (28*x) - 15,000

25,000= 32x

781.25= x

Break-even point= 782 units

Finally, fixed costs dropped by $8,000:

0= 32x - 7,000

x= 7,000/32

x= 218.75

Break-even point= 219

Difference= 250 units

Answer b,since the lines will intersect at one point, this system has one solution:

Step-by-step explanation:

Took the test

Answer:

B

Step-by-step explanation:

Answer:

e.

Step-by-step explanation:

hope this helps

Answer:

Welcome

Step-by-step explanation:

Answer:

36

Step-by-step explanation:

You substitute 9 in for x so it would look like this 5(9)-9 then you solve and you get the solution of 36.

If you liked my answer then please make it the brainliest it would be much apprecited. Thanks!

Answer:

Step-by-step explanation:

System A and System B are not equivalent !!!  

Answer:

y = 5x + 4

Step-by-step explanation:

Slope intercept form is y = mx + b. m is the slope which is already given to you, which leaves you with y = 5x + b. Then you plug in (0,4) to find what b is. 4 = 5(0) + b

4 = 0 + b

4 = b

y = 5x + 4

Answer:

1. So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2. Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3. Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.

Step-by-step explanation:

The prime factorization of 585 = 3² × 5 × 13.

So, the number of video games Kate can put in each shipping box are the different combinations of the prime factors. So, they are

1. 3² × 5 × 13 = 45 × 13 or 13 × 45.

So, Kate can put 45 video games each in 13 shipping boxes or 13 video games each in 45 shipping boxes.

2.  3² × 5 × 13 =  3² × 13 × 5 = 117 × 5 or 5 × 117

So, Kate can put 117 video games each in 5 shipping boxes or 5 video games each in 117 shipping boxes.

3.  3² × 5 × 13 =  3² × 13 × 5 = 9 × 65 or 65 × 9

So, Kate can put 9 video games each in 65 shipping boxes or 65 video games each in 9 shipping boxes.

Answer:

29 days!

Step-by-step explanation:

$199 - $56

$143

$143/ $5 = 28.6

28.6 --> 29

Answer:

29days

Step-by-step explanation:

just work out how many fives there is there

Answer:

Step-by-step explanation:

I'm not exatcly sure what is meant by magnitude but if it is the slope it is simply -7 if it is asking about the actual magnitude or length of the vector then we use pthagorean theorum which is:

[tex]c^{2} =a^{2} +b^{2}\\[/tex]

when adjusted to solve for the  answer is

[tex]c = \sqrt{a^{2}+b^{2}\\}[/tex]

which is c = sqrt (1^2) + (-7)^2 = [tex]\sqrt{50}[/tex] would be the exact answer

Answer:

p=32

Step-by-step explanation:

4+12=16

16×2=32

p=32

After substituting W = 12, h = 4, in the equation P = 2(w + h), P = 32

"An element greater than or equal to all the elements in a given set."

"It is an expression which contains an equal symbol."

For given question,

Given equation: P = 2(w + h)

W = 12, h = 4

After substituting these values in given equation,

⇒ P = 2 × (12 + 4)

⇒ P = 2 × 16

⇒ P = 32

Learn more about upper bound here:

https://brainly.com/question/22965427

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Answer:

Option D.) y = 3/5 + 1/5

Step-by-step explanation:

First, we find the Slope using the formula: m = y2 - y1/x2 - x1

You may choose any two points but I will use these two for no reason at all.)

Points: (3,2) and (8,5)

m = y2 - y1/x2 - x1

m = 5 - 2/8 - 3

m = 3/5

Now that we have the slope, we can now find the Slope Intercept Form by using the Slope Form Formula. (need at least one point and slope.)

Formula: y - y1 = m(x - x1)

Point: (3,2) (you may choose any point but I will choose this for no reason at all xD)

y - y1 = m(x - x1)

y - 2 = 3/5(x - 3)

y - 2 = 3/5x - 9/5

y - 2 = 3/5x - 9/5

y = 3/5x - 9/5 + 10/5 (2 can be is any fraction that consists of the numerator multiplied twice by the denominator, such as 2/1, 4/2, 8/4, etc.)

y = 3/5 + 1/5

The final equation of the line can be written as -

y = (3/5)x + 1/5

The general equation of a straight line is given by -

y = mx + c

Given is a line that passes through the points (3, 2), (8, 5), (13, 8) and (18, 11).

The line passes through the points (3, 2) and (8, 5). Therefore, the slope of the line will be -

m = (5 - 2)/(8 - 3) = 3/5

Now, consider the line : y = mx + c. For a point (3, 2) -

2 = (3/5) x 3 + c

2 = 9/5 + c

c = 2 - 1.8

c = 0.2

c = 1/5

Therefore, the final equation of the line can be written as -

y = (3/5)x + 1/5

To solve more questions on straight line, visit the link below-

https://brainly.com/question/21627259

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Answer:

13ft

Step-by-step explanation:

5ft + 8ft=13ft

Answer:

-13Ft

Step-by-step explanation:

Answer:

12x+12

Step-by-step explanation:

3(4x+4)

you times both answers to get rid of the 3

=3 • 4x + 3 • 4

= 12x+12

because they are not like terms so you cannot do anything further.

Answer:

512 ounces

Step-by-step explanation:

There are 128 ounces in a gallon.

128 x 4 = 512

Answer:

512

Step-by-step explanation:

Answer:

[tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]

Step-by-step explanation:

The matrix system for the linear equations: x + 2y = 8, 2x + 6y = 9

[tex]\left[\begin{array}{ccc}1&2&\\2&6\\\end{array}\right] \left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}8\\9\end{array}\right][/tex]

To get the coefficient of x and y, the inverse of the first matrix (let the first matrix be A) must be known.

[tex]A^{-1}[/tex] = (1 / determinant of A) x Adjoint of A

the determinant of A = (1 x 6) - (2 x 2) = 6 - 4 = 2

Adjoint of A = [tex]\left[\begin{array}{ccc}6&-2&\\-2&1\\\end{array}\right][/tex]

[tex]A^{-1}[/tex]= [tex]\frac{1}{2} \left[\begin{array}{ccc}6&-2\\-2&1\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}3&-1&\\-1&1/2\\\end{array}\right][/tex]