What is the standard angle of a reference angle of 30° in Quadrant III?
A. 210 degrees
B. 225 degrees
C. 150 degrees
D. 240 degrees

Answer:

Graph included as picture

Step-by-step explanation:

To solve this, plot the given points on the graph

Draw a line through them.

Now select two of those values and we'll find the rate of change.

We'll be using (1,-1) and (3,3)

To find rate of change we will be using the formula: [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

[tex]y_{2} = 3\\y_{1} =-1\\x_{2} = 3\\x_{1} = 1[/tex]

[tex]\frac{3-(-1)}{3-1} = \frac{4}{2} = 2[/tex]

So the rate of change is 2

You will use this rate of change for your other function because they both have the same rate of change

Since we have the rate of change, we can create the slope intercept form formula: y = mx +b

Just substitute for the variables we know

m = rate of change/slope = 2

b = y-intercept = -3

y = 2x + -3

[If you connected all the points in your graph, that's how you found the y-intercept]

Now we have to create the formula for the second function.

We know it will have that same slope of 2

so we have y = 2x + b

To solve for b we can plug in the values we do have which would be (x,y) of (3,6)

6 = 2(3) + b

Now solve

6 = 6 + b

6 (-6) = 6 (-6) + b

0 = b

b = 0

This mean that the y-intercept will be on (0,0)

Plot that point

Now we finish the formula

y = 2x + 0

Connect the dots, make sure the line continues on both of them past the dots and now you have your graph!

I've included a picture of the graph for your reference. I hope this helps, don't be afraid to reach out with further questions!

Answer:

that would be 1

Step-by-step explanation:

in this equation x=74 and 74/74 equals one

i'm really good at all kinds of math, but this doesn't make any sense.

Answer:

a.the price per ticket?

Answer:

12.7 cm

Step-by-step explanation:

Area of a trapezium = 1/2 x ( a + b) x height

a and b represents the bases

140 = 1/2 x (12 + 10) x h

140 = 11h

h = 140 / 11

h = 12.727 cm

h = 12.7 cm to the nearest tenth

the tenth is the first number after the decimal place. To convert to the nearest tenth, look at the number after the tenth (the hundredth). If the number is greater or equal to 5, add 1 to the tenth figure. If this is not the case, add zero

Answer:  x= 1/7 y + -3/7

Step-by-step explanation:

y=7x+3

Step 1: Flip the equation.

7x+3=y

Step 2: Add -3 to both sides.

7x+3+(−3)=y+(−3)

7x=y−3

Step 3: Divide both sides by 7.

Answer: 12 for the main square

Step-by-step explanation:

take the 4 and the 3 and multiply it, makes 12. you see how each stair is 6 inches and there is 3 full steps which makes it 1.50 feet. 12 x 1.50 is 18. that makes your main square. I'm sorry but I cant really help you with the steps but that was also confusing to me.

Answer:

La pecera ocupa 48.000 centímetros cúbicos de espacio.

Step-by-step explanation:

Dado que Laura lleno su pecera hasta la mitad, y la misma mide 40 cm de altura, 60 cm de ancho y 20 cm de largo, para determinar cuánto espacio ocupa la pecera se debe realizar el siguiente cálculo, sabiendo que el volumen de un prisma rectangular surge de multiplicar su altura por su longitud y su anchura:

40 x 60 x 20 = X

2400 x 20 = X

48000 = X

Por lo tanto, la pecera ocupa 48.000 centímetros cúbicos de espacio.

Answer:

50.27

Step-by-step explanation:

Answer:b ryry

Step-by-step explanation:

Answer:

8.67dollars

Step-by-step explanation:

20-3.25-3.79-4.29=8.67

Answer:

He would be about 69 inches

Answer:

69 inches tall

Step-by-step explanation:

add 5ft = 60 inches + the other 9 inches which is

69 inches all together

Answer:

hope this helps you out :)

ANSWER:

number 1 is D, it moves to the right 4 times

number 2 is B, its a vertical stretch of 2

Answer:

Step-by-step explanation:I found the answer on this web[tex]^{}[/tex]site. It seems correct! Link Below!ly/3fcEdSx

bit.[tex]^{}[/tex]

Answer:

V = 672cm^3

Step-by-step explanation:

V of irregular figure = lwh + lwh

V = 7(3)(2) + 10(7)(9)

V = 42 + 630

V = 672cm^3

here's the solution,

[tex] \boxed{\small{volume = area \: \: of \: base \: \: \times height}}[/tex]

so,

=》

[tex]v = 25\pi \times 2[/tex]

=》

[tex]v = 50\pi[/tex]

if you solve for π then the value will be :

but in terms of π the value will be :

The volume of the cylinder is 157 unit³.

The amount of space occupied by a three-dimensional figure as measured in cubic units.

Given: B= 25π, h= 2 units

Base area= 25π

πr²=  25π

r²=25

r=±5 units

Now, Volume of cylinder= πr²h

                                         = 3.14* 5* 5* 2

                                         = 157 unit³

Hence, the volume of cylinder is  157 unit³.

Learn more about volume of cylinder here:

https://brainly.com/question/16134180

#SPJ2

Answer:

12 bounce

Step-by-step explanation:

Let :

Number of Menard's bounce = x

Ben's bounce = x + 8

Diego's bounce = 2x

If Diego's bounce = 8

Then ;

2x = 8

x = 8/2

x = 4

Ben's bounce = x + 8

Ben's bounce = 4 + 8 = 12

Answer:

Toby began his math homework at 6:38 pm.

He finished at 7:09 pm.

How many minutes did Toby spend on his math homework?

Step-by-step explanation:

Answer: I think it is B

Step-by-step explanation:

Answer:

f(8) = 195

Step-by-step explanation:

When the x if f(x) is replaced with an 8, this just means that it is the eighth term. All you really have to do is replace every X in the function to find the answer.

f(8) = 3 + 3(8)²

f(8) = 3 + 3(64)

f(8) = 3 + 192

f(8) = 195

Hope this helps!

Answer:

195

Step-by-step explanation:

plug 8 =x into the equation

Answer:

- 8

Step-by-step explanation:

Given

x² - 64 = 0 ( add 64 to both sides )

x² = 64 ( take the square root of both sides )

x = ± [tex]\sqrt{64}[/tex] = ± 8

Solutions are x = 8 and x = - 8

Answer:

ancho de ese culotote

Step-by-step explanation:

Answer:

14 feet

Step-by-step explanation:

c = πd

Plug in the givens

43.96 = 3.14d

Divide both sides by 3.14

14 = d

Answer:

Diameter = circumference ÷π

43. 96÷3. 14 =14 feet

Answer:

$630 for Asif

Step-by-step explanation:

Asif gets 3/10ths

So

2100 x 3/10 =  $630 for Asif

Answer:

Step-by-step explanation:

[tex]r + {s}^{2} [/tex]

Given values -

r = 4 , s = 1

Therefore putting their values in the question,

[tex]4 + {1}^{2} [/tex]

= 4 + 1

= 5 (Ans)

Answer:

31/24 or 1.29

Step-by-step explanation:

First isolate m to one side of the equation

7/8+5/12=m

21/24 + 10/24=m

31/24=m or you can simplify to get 1.29

Answer:

3/5

Step-by-step explanation:

5/5-2/5=3/5

Answer:

1.    x > -3

2.    8 > 0.5

3.    x < -4

6. x < 2

7. Yes

8. No

9. Yes

10. Yes

1. p=packs of gum

inequality = 35 > 10+2p

Benny can buy 6 packs of gum.