C
\qquad m \angle AOC
m∠AOC
m, angle, A, O, C
is a straight angle.

m
∠
A
O
B
=
8
x
+
5
1
∘
\qquad m \angle AOB = 8x + 51^\circ
m∠AOB=8x+51
∘
m, angle, A, O, B, equals, 8, x, plus, 51, degrees

m
∠
B
O
C
=
6
x
−
2
5
∘
\qquad m \angle BOC = 6x - 25^\circ
m∠BOC=6x−25
∘
m, angle, B, O, C, equals, 6, x, minus, 25, degrees
Find
m
∠
A
O
B
m\angle AOB
m∠AOB
m, angle, A, O, B
:

[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{40\% of 59}}{\left( \cfrac{40}{100} \right)59}\implies 23.6~\hfill \underset{sale~price}{\stackrel{59~~ - ~~23.6}{35.4}} \\\\[-0.35em] ~\dotfill\\\\ \stackrel{\textit{8\% of 35.4}}{\left( \cfrac{8}{100} \right)35.4}\implies 2.832~\hspace{10em}\underset{\textit{sale price plus tax}}{\stackrel{35.4~~ + ~~2.832}{\approx 38.23}}[/tex]

Answer:

13.33

Step-by-step explanation:

Write the equation for an inverse variation

⇒ y = k/x

Where x is degrees and y is minutes

Substitute 20 and 20 for x and y

⇒ 20 = k/20

Multiply both sides by 20 to solve k

⇒ 20 × 20 = 20 × k/20

⇒ k = 400

After solving for k, write an equation for the inverse variation

⇒ y = 400/x

Substitute 30 for x

⇒ y = 400/30

⇒ y = 40/3

⇒ y = 13.3333333333

⇒ y = 13.33

[RevyBreeze]

Answer:

  y = √(5x+34)

Step-by-step explanation:

The regression formula that matches a square root function to these points can be worked out by a suitable calculator. The attachments shows the points are matched exactly by the function ...

  y = √(5x+34)

__

If you would like to work this by hand, you can put the (x, y) point values into the proposed equation and see what the coefficients need to be:

  y = √(ax +b)

  7 = √(3a +b)   ⇒   49 = 3a +b

  8 = √(6a +b)   ⇒   64 = 6a +b

Subtracting the first equation from the second, gives ...

  (64) -(49) = (6a +b) -(3a +b)

  15 = 3a   ⇒   a = 5

  49 = 3(5) +b   ⇒   b = 34

Answer:

Step-by-step explanation:She can bowl 8 games and what I did was subtract the $4.25 from the $25and thethen divide the rest by the 2.52.50

Answer:

384sqrt3

Step-by-step explanation:

The formula for the area of a hexagon is A = 3sqrt3 times s^2 /2

Plug in s = 16 to get A = 3sqrt3 times 16^2 (256) / 2

3sqrt3 times 256 is 768sqrt3

You divide that by 2 to get 384sqrt3

Answer:

Step-by-step explanation:

Initial function is

Changed function is

This is best explained when graphed. See below to confirm the correct option

f(x+8)

So

x² is changed to (x+8)²

Change in x

It will shift 8 units left

Option B

Answer:

4 containers orange juice

4 containers pinapple

2 containers cranberry

Step-by-step explanation:

1000 milliliters are in a liter

4 liters orange juice, 4*500 = 2,000

4 liters pinapple, 4*500 = 2,000

2 liters cranberry, 2*500 = 1,000

Total 5 liters

Given :

⠀

To Find :

⠀

Solution :

Perimeter of the plank :

[tex]\: {\qquad \dashrightarrow \sf 2 \times (Length + Breadth) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 2 \times (300 + 30) \: cm }}}[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 2 \times (330) \: cm }}}[/tex]

[tex]\: {\qquad \dashrightarrow \sf{{ 600 \: cm }}}[/tex]

⠀

Area of the plank :

[tex]\: {\qquad \dashrightarrow \sf (Length \times Breadth) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf (330 \times 30) \: {cm}^{2} }[/tex]

[tex]\: {\qquad \dashrightarrow \sf 9 000 \: {cm}^{2} }[/tex]

⠀

Step-by-step explanation:

Given :-

To find :-

Solution :-

Perimeter of rectangular plank = 2(L+W)

putting the values,

perimeter = 2(300+30)cm

⇝660 cm

Area of rectangular plank = L × W

putting the known values ,

Area = 300 × 30 cm²

⇝ 9000cm²

Answer:

a. x = [tex]\frac{1}{12}[/tex]

b. [tex]\frac{1}{4}[/tex] = 1x

c. 3x = [tex]\frac{3}{3}[/tex]

d. x = [tex]\frac{1}{20}[/tex]

e. x = [tex]\frac{10}{3}[/tex]

Answer:

9/4 seconds

Step-by-step explanation:

Plug 13 into the equation

13=94-16t^2

subtract 94

-81=-16t^2

divide by -1

81=16t^2

take the square root of both sides

9=4t

divide by 4

t=9/4

Answer:

I'm not 100% sure but i think its a  

Step-by-step explanation:

Both have 2 heads and 2 tails so that's 4 and it's a fair game and b is wrong and you will eliminate c.

The game is fair because there is an equal chance of winning an losing the game.

Probability is simply how likely something is to happen.

[tex]P(E )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

Where,

P(E) is the probability of an event.

A fair game is the game in which there is an equal chance of wining or losing.

According to the given question.

Two coins are tossed.

[tex]\implies sample\ space= \{ HH, HT, TH, TT\}[/tex]

[tex]\implies total\ number \ of outcomes = 4[/tex]

Therefore,

The probability that you win is given by

[tex]P(E_{1} )=\frac{Number\ of \ favorable\ outcomes }{Total\ number \ of outcomes}[/tex]

[tex]\implies P(E_{1} )= \frac{1}{4}[/tex]                            (getting HH is a favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

And, the probability that your friend wins the game is given by

[tex]P(E_{2}) = \frac{Total\ number\ of\ favorable\ outcomes\ }{Total\ number\ of\ outcomes}[/tex]

[tex]\implies P(E_{2} )=\frac{1}{4}[/tex]                    (getting TT is the favorable outcome)

[tex]\implies probability\ of\ losing\ the\ game = 1-\frac{1}{4} =\frac{3}{4}[/tex]

Hence, the game is fair because there is an equal chance of winning an losing the game.

Find out more information about probability and fair game here:

https://brainly.com/question/22582276

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Answer:

Step-by-step explanation:

The sides of a triangle measure 6, 8 and 10 cm. What is the area of the triangle?

from the data it is a right triangle, 10 cm is the hypotenuse

so

1/2 (6 * 8) =

1/2 * 48 =

24 units²

Answer:

It would be 8 cups of flour.

Answer:

8 cups

Step-by-step explanation:

77a)

[tex]y=0.5x-2\implies y=\cfrac{x}{2}-2\implies \stackrel{x-intercept}{0=\cfrac{x}{2}-2} \\\\\\ 2=\cfrac{x}{2}\implies 4=x\qquad \qquad \boxed{(4~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=0.5(0)-2}\implies y=-2\qquad \qquad \boxed{(0~~,~~-2)}[/tex]

77b)

[tex]y=-0.4x+2\implies y=-\cfrac{4x}{10}+2\implies y=\cfrac{2x}{5}+2 \implies \stackrel{x-intercept}{0=\cfrac{2x}{5}+2} \\\\\\ -2=\cfrac{2x}{5}\implies -10=2x\implies \cfrac{-10}{2}=x\implies -5=x~\hfill \boxed{(-5~~,~~0)} \\\\\\ \stackrel{y-intercept}{y=-0.4(0)+2}\implies y=2\qquad \qquad \boxed{(0~~,~~2)}[/tex]

If the angles are equal, then, x = 9.

Simplification of expressions means rewriting the same algebraic expression with no like terms and in a compact manner.

Given are two angles, 3x -8° and 2x + 1°, simplifying by equating them,

3x -8° = 2x + 1°

x = 9

Hence, If the angles are equal, then, x = 9.

For more references on simplification, click;

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Answer:

100

Step-by-step explanation:

Angle x and the angle equaling 100 are vertical angles.

the 45 degree angle is just there to confuse you

Answer:

that looks hard

Step-by-step explanation:

thx for the points

Answer:

116.663333333 repeating

Step-by-step explanation:

do 349.99 divided by 3

Answer:

6 pounds = 96 ounces

4 pounds = 64 ounces

Answer:

Vertical Asymptote at: x = - 1.5

Slanted Asymptote at: y = -x  9/2

Step-by-step explanation:

See image (I HAVE NO IDEA IF YOUR SUPPOSED TO GIVE THE SLANTED ASYMPTOTE. THE PROBLEM ONLY SAYS VERTICAL AND HORIZONTAL ONLY, SO I GUESS ONLY DRAW THE GREEN LINE, NOT THE PURPLE ONE!)

So only draw the x = - 1.5 line that is green!

The events of rainfall and having a full moon on a given date are illustrations of probability

The probability that there will be rainfall and a full moon on that date is 0.0049

From the question, we have the following parameters

P(A) = 1/7 --- the probability that it rains

P(B) = 1/29 --- the probability of having a full moon

So, the probability that is rains and there is a full moon on a given day is:

[tex]p = \frac 17 * \frac 1{29}[/tex]

Simplify

[tex]p = 0.0049[/tex]

Hence, the probability that there will be rainfall and a full moon on that date is 0.0049

Read more about probability at:

https://brainly.com/question/25870256

Answer:

T=-9

Step-by-step explanation:

Answer:

The discount is $18.20 which changes the price of the jeans to $27.30.

Answer:

24, 12, 6, 3, 1.5, 0.75,0.375, 0.1875, 0.09375

The BOLD number is your answer, and the other ones are the sequence. oof, that was a lot of calculating!

Thanks!

Answer:

0.046875

Step-by-step explanation:

Each number is being divided in half each time.

24 / 2 = 12

12 / 2 = 6

6 / 2 = 3

3 / 2 = 1.5

1/5 / 2 = 0.75

0.75 / 2 = 0.375

0.375 / 2 = 0.1875

0.1875 / 2 = 0.09375

0.09375 / 2 = 0.046875 <--- This is the ninth term of the sequence.

Answer

A.) As the number of years increased, the population increased.

Solution:

Note that:

Let's substitute x as 2 to find out y.

Let's substitute x as 4 to find out y.

Final answer:

Option B is correct.

Answer:

(1, 3) depending if it counts as 1 2 3 4 5... not 1...5...10

Step-by-step explanation:

so i think the solution was where the two lines cross?

Answer:

(-1,3)

Step-by-step explanation:

The solution to the system of equations is where the two graphs intersect.

The two lines intersect at x=-1  and y = 3

(-1,3)

Answer: 86 + 7.5 = 93.5

Step-by-step explanation:

Answer:

M = 20

Step-by-step explanation:

given M is directly proportional to r³ then the equation relating them is

M = kr³ ← k is the constant of proportion

to find k use the condition when r = 4, M = 160 , then

160 = k × 4³ = 64k ( divide both sides by 64 )

[tex]\frac{160}{64}[/tex] = k , then

k = 2.5

M = 2.5r³ ← equation of proportion

when r = 2 , then

M = 2.5 × 2³ = 2.5 × 8 = 20

Step-by-step explanation:

Speed is independent and distance is dependent

Distance depends on the speed

Speed influences the distance