Which fraction equals the ratio of rise to run between the points (-3,-4) and (0, 0)?

Given:

The value is tan(195°).

To find:

The exact value of tan(195°).

Solution:

We have,

[tex]\tan (195^\circ)=\tan (180^\circ+15^\circ)[/tex]

[tex]\tan (195^\circ)=\tan (15^\circ)[/tex]      [tex][\because \tan (180^\circ-\theta)=\tan \theta][/tex]

It can be written as

[tex]\tan (195^\circ)=\tan (45^\circ-30^\circ)[/tex]

[tex]\tan (195^\circ)=\dfrac{\tan (45^\circ)-\tan (30^\circ)}{1+\tan (45^\circ)\tan (30^\circ)}[/tex]      [tex][\because \tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}][/tex]

[tex]\tan (195^\circ)=\dfrac{1-\dfrac{1}{\sqrt{3}}}{1+(1)(\dfrac{1}{\sqrt{3}})}[/tex]

[tex]\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{1+\dfrac{1}{\sqrt{3}}}[/tex]

[tex]\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{\dfrac{\sqrt{3}+1}{\sqrt{3}}}[/tex]

[tex]\tan (195^\circ)=\dfrac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]

Therefore, the exact value of tan(195°) is [tex]\dfrac{\sqrt{3}-1}{\sqrt{3}+1}[/tex].

Answer:

It's C

Step-by-step explanation:

Answer:

meema, papa, and then auntie jo

Step-by-step explanation:

you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.

meema: 48-24/4-2 = 4/2 = 2

papa: 40-24/5-3 = 16/2 = 8

auntie jo: 45-18/5-2 = 27/3 = 9

im in algebra two so you can trust my answer. happy holidays and stay safe!

Answer:

$53.06

Step-by-step explanation:

Answer:

$53.06

Step-by-step explanation:

Step-by-step explanation:

172.627962

187965.890925

Answer:

1.234 × 139.893 = 172.62796

674.983 × 278.475 = 187965.890925

Hope this helps! :)

Answer:

2: 67

3:67

4: 113

Step-by-step explanation:

Answer: 67 degrees, 67 degrees, 113 degrees

Step-by-step explanation:

Angle 2: 180-113= 67 degrees

Angle 3: angle 3=angle 2

67 degrees

Angle 4: angle 4=angle 1

113 degrees

Answer:

Step-by-step explanation:

a) V= A*h            V=40*8=320

b) V=800 and h=20

A=V/h=800/20=40

Answer:

see explanation

Step-by-step explanation:

Given the formula

V = Ah

with A = 40 and h = 8 , then

V = 40 × 8 = 320 units³

(b)

Given V = 800 and h = 20, then

800 = 20A ( divide both sides by 20 )

A = 40 units²

Answer:

how do i say this uh...

Step-by-step explanation:

i wanna say 3 up and 4 across, then alighn. then 2 up and 1 across there.

Answer:

(-3/5, 29/5)

Step-by-step explanation:

Given the simultaneous equation;

-3x+4y=25...... 1

y= -3x+4 ..... 2

We are to confirm if (-3, 4) is the solution to the equations;

Substitute equation 2 into 1;

From 1;

-3x+4y=25

-3x + 4(-3x+4) = 25

-3x -12x + 16 = 25

-15x = 25 - 16

-15x = 9

x = -9/15

x = -3/5

Substitute x = -3/5 into equation 2 to get y;

From 2;

y= -3x+4

y = -3(-3/5)+4

y = 9/5 + 4

Find the LCM

y = (9+20)/5

y = 29/5

Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.

Answer:

x = 2.4

I'm not sure how the answer is 4.5 but I'm pretty sure this is right unless I'm missing something

Step-by-step explanation:

So we need to find how much shorter is the short line compared to the longer one. Basically we need a scale factor, for this we can use the side lengths already given to us, 10 and 15. So u can choose either enlarge the short line or shorten the longer one.

If u want to enlarge the short line then do 15/10 which is 3/2 which u will then multiply the shorter line's equation with it, if u want to shorten the longer line then do 10/15 which is 2/3 and multiply the longer lines equation with it.

I'll be using the 3/2 one cause why not:

3/2(x + 6) = 4x + 3

3/2x + 18/2 = 4x + 3

multiply the entire equation with 2 to make 3/2 no longer a fraction

(3/2x + 18/2 = 4x + 3)2

6/2x + 18 = 8x + 6

3x + 18 = 8x + 6

subtract 18 from both sides

3x = 8x - 12

subtract 8x from both sides

-5x = - 12

divide -5 from both sides

x = 2.4

U can input x into the equation to check:

3/2(2.4 + 6) = 4(2.4) + 3

12.6 = 12.6, it's right

Answer:

Answer Is A

Step-by-step explanation:

Just trust me

Answer:

D

A Step-by-step explanation:

Hope it helps

Answer:

52

Step-by-step explanation:

Let the number of shots Mason made be x.

No. of shots (Mason) = x

No. of shots (Noah) = x-19

No. of shots (Peter) = x-19-10

                                = x-29

x-29 = 23

x = 23 + 29

x = 52

Thus, Mason made 52 shots.

Answer:

3(3x + 5)

Step-by-step explanation:

9x + 15

find a common factor, 3

3(3x + 5), this is the answer as u can't factorize anymore

Answer:

He did nothing wrong in this problem.

Step-by-step explanation:

Answer:

4.6 I think

Step-by-step explanation:

Answer:

(x-1)(x^2+1)

Step-by-step explanation:

x³-x²+x-1​

(x-1)(x^2+1)

Answer:

Answer:

You will get 75 cards

Step-by-step explanation:

The answer is 32

Emily signed 2/5 so 75 divided by 5 is 15

15x2 is 30

75-30=45

45 divided by 1/9 is 5

30+5=35

so then 45-5=40

20% of 40 is 8

30+5+8 = 43

75-43=32

Answer:

25 + 15x < 45 + 7x

Step-by-step explanation:

Given:

Floors, Inc. Fixed charges = $25

Floors, Inc. Variable charges = $15 per hour

R rug clean Fixed charges = $45

R rug Variable charges = $7 per hour

Computation:

Assume number of hour = x

Floors, Inc. total cost = 25 + 15x

R rug  total cost = 45 + 7x

So,

25 + 15x < 45 + 7x

Answer: Exact Form:

x= −35/12

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Answer: x=6

Step-by-step explanation:

TR=RA since TR and RA are congruent

3x+5=x+17

3x+5-5=x+17-5

3x=x+12

3x-x=x-x+12

2x=12

2x/2=12/2

x=6

Answer: b

Step-by-step explanation:

Because it says below zero and b is below zero

Answer:

0.620 km

Step-by-step explanation:

0.500 + 0.020 + 0.100 = 0.620, or 0.62 km long

Answer:

5.75

Step-by-step explanation:

Answer:

$5.75

Step-by-step explanation:

10 copies cost $1.15

50 copies  costs $x

x = 1.15*50 /10 = $5.75

Answer:

12p x (15 x 25) I might not be correct :')

Answer:

12p+15x0.25

Step-by-step explanation:

Answer:

40 total rocks

Step-by-step explanation:

100 * 36 / 90 = 40

Answer:

he needs 4 more

Step-by-step explanation:

Answer:

(-2,4)

Step-by-step explanation:

When you reflect over y = x, the x and y change places.  F' is at (4,-2) .

Answer: (-2, 4)

Step-by-step explanation:

Swap x and y coordinates since you're reflecting over y=x.

(4, -2)==>(-2, 4) ==> The slope between these two points should be -1(y=-x). That way, you know the graph is being reflected over y=x.

m=(y2-y1)/(x2-x1)

m=(4-(-2))/(-2-4)

m=(4+2)/(-6)

m=6/(-6)

m=-1 ==> These two points are confirmed to be reflected over the line y=x.

Old coordinates: (-2, 4)

Answer:

13 seconds.

Step-by-step explanation:

Given

[tex]h = -4.9(t - 13)(t + 2).[/tex]

Required

Determine a reasonable solution for t

To do this, we equate h to 0.

[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes

[tex]0 = -4.9(t - 13)(t + 2).[/tex]

Divide through by -4.9

[tex]0 = (t - 13)(t + 2).[/tex]

Reorder the expression

[tex](t - 13)(t + 2) = 0.[/tex]

Split

[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]

This gives:

[tex]t = 13[/tex] or [tex]t = -2[/tex]

But time can't be negative, So:

[tex]t = 13[/tex]

Step-by-step explanation:

5 is the answer

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