If the terminal point of ø is (1,0), what is tan ø?

Answers

Answer 1

Given:

The terminal point of [tex]\phi[/tex] is (1,0).

To find:

The value of [tex]\tan\phi[/tex].

Solution:

If the terminal point of [tex]\theta [/tex] is (x,y), then

[tex]\tan \theta=\dfrac{y}{x}[/tex]

It is given that the terminal point of [tex]\phi[/tex] is (1,0).

Here, x-coordinate is 1 and the y-coordinate is 0. Using the above formula, we get

[tex]\tan \phi=\dfrac{0}{1}[/tex]

[tex]\tan \phi=0[/tex]

Therefore, the value of [tex]\tan \phi[/tex] is 0.


Related Questions

I need help i'm struggling with this work!

Answers

Answer:

Domain: x is greater than or equal to 0

Range: y is greater than or equal to -5

So the answer for domain is e.

And the answer for range is a.

please help will give brainlist!​

Answers

Answer:

[tex]b=\frac{1}{6}[/tex]

Step-by-step explanation:

In [tex]f(x)=a\cos(b(x-c))+d[/tex], [tex]b[/tex] represents a constant related to the period of the function. Here's how it's related:

[tex]b=\frac{2\pi}{T}[/tex], where [tex]T[/tex] is the period of the function.

We're given [tex]T=12\pi[/tex], so solving for [tex]b[/tex]:

[tex]b=\frac{2\pi}{12\pi}=\boxed{\frac{1}{6}}[/tex]

Mia records the distance traveled in x minutes in the table below, while Alexa uses a graph to record her distance traveled over the same time period.


Alexa’s Graph

A graph has time (minutes) on the x-axis and Distance traveled (miles) on the y-axis. A line goes through points (4, 3) and (8, 6).
Mia’s Table

A 2-column table with 4 rows. Column 1 is labeled Time (minutes) with entries 10, 18, 20, 26. Column 2 is labeled Distance Traveled (miles) with entries 5, 9, 10, 13.

Answers

Answer:

A

Step-by-step explanation:

i got it right

Answer:

A

Step-by-step explanation:

The number of children studying in different schools of kanpur is 6,45,55,587 . If the number of boys is 4,55,25,400, find the number of girls.

Answers

Answer:

19030187 girls

Step-by-step explanation:

Total number of children = 6,45,55,587

number of boys =4,55,25,400

Number of girls= (Total number of children ) - (number of boys )

= (6,45,55,587)-(4,55,25,400)

= 19030187 girls

The number of girls. Is 19030187

can someone explain how to do this :) im very confused

Answers

Answer:

the answer is 36q^7

Step-by-step explanation:

multiply the bases and add the exponents

X+y=0
x-y+2=0
Help, also write on paper please? I wanna learn how to do this

Answers

Step-by-step explanation:

Y=x

Y=x+2

Plot graph but not up to scale just for u to understand

Please someone help!
Thanks!

Answers

Answer:

1 1/2y-5

Step-by-step explanation:

Simplify.

-1/2(-3y+10)

Use distributive property to multilpy -1/2 by -3y and -1/2 by 10.

=1 1/2y - 5

Answer:

[tex]1.5x-5[/tex]

Step-by-step explanation:

When given the following problem,

[tex]-\frac{1}{2}(-3x+10)[/tex]

Distribute, multiply every term inside the parenthesis by the term outside of the parenthesis,

[tex]=(-\frac{1}{2})(-3x)+(-\frac{1}{2})(10)[/tex]

Now simplify the expression, remember, negative times negative is positive,

[tex]=\frac{3}{2}x-5[/tex]

Rewrite as a decimal; remember ([tex]\frac{1}{2}[/tex]) is equivalent to ([tex]0.5[/tex]). Therefore ([tex]\frac{3}{2}[/tex]) equals ([tex]1.5[/tex]). Apply this here to rewrite the expression as a decimal,

[tex]1.5x-5[/tex]

determine the equation of the circle graphed below .

( help please )

Answers

Answer:

(x + 5)² + (y - 4)² = 17

Step-by-step explanation:

The equation of a circle in standard form is

(x - h)² + (y - k)² = r²

where (h, k ) are the coordinates of the centre and r is the radius

Here (h, k ) = (- 5, 4 ) , then

(x - (- 5) )² + (y - 4)² = r² , that is

(x + 5)² + (y - 4)² = r²

r is the distance from the centre to a point on the circle

Calculate r using the distance formula

r = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 5, 4) and (x₂, y₂ ) = (- 1, 5)

r = [tex]\sqrt{(-1+5)^2+(5-4)^2}[/tex]

  = [tex]\sqrt{4^2+1^2}[/tex]

  = [tex]\sqrt{16+1}[/tex]

  = [tex]\sqrt{17}[/tex] ⇒ r² = ([tex]\sqrt{17}[/tex] )² = 17

Then

(x + 5)² + (y - 4)² = 17 ← equation of circle

Answer:

x² + y² + 10x - 8y + 24 = 0

Step-by-step explanation:

equation of a circle :-

equation of a circle :-(x - h)² + (y - k)² = r²

(h, k) is the center of the circle R is the radius of the circle

for this circle :-

h = -5k = 4R = ?

finding radius of the circle

we've been given a point ( -1, 5) that lies on the circle and hence should satisfy the equation of the circle

putting x = -1 and y = 5

=> (-1 - (-5))² + (5 - 4)² = r²

=> (-1 + 5)² + 1² = r²

=> 4² + 1 = r²

=> 17 = r²

[tex] = > r = \sqrt{17} [/tex]

the radius if the circle is √17 units

__________________________________

finding the equation of the circle

=> (x + 5)² + (y - 4)² = (√17)²

=> x² + 25 + 10x + y² + 16 - 8y = 17

as for any two variables a and b, (a + b)² = a² + b² + 2ab

=> x² + y² + 10x - 8y + 24 = 0

5. One side of a triangle is 14 cm and another side is 11 cm, therefore, the
third side must be greater than ___
cm and less then ____
cm.

Answers

greater than 11 and less than 14

Find the Area of the shape
(Area of Composite Shapes)

Answers

Answer:

130 inches

Step-by-step explanation:

Area = Length · Width

Solve for the Right Triangle

6 · 11 = 66 inches

Area = Length · Width

Solve for the square

Since the width isn't fully given, we must add 5 + 3 = 8 inches

5 · 8 = 40 inches

Area = Length · Width

Solve for the Rectangle

8 · 3 = 24 inches

Now add the results: 66 + 40 + 24 = 130 in^2

Answer:

the naswer is 10

Step-by-step explanation:

The size of each exterior angle of a regular polygon is 18 degrees
a) work out how many sides the polygon has
b) work out the sum of the interior angles of the polygon

Answers

Answer:

a, 20 side polygond b, the sum of the interior angles is 162°

can someone please help me :(

Answers

Answer:

1.5 square miles

Step-by-step explanation:

First divide 1 by 0.5 which is 2. that means you also divide 3 by 2 which is 1.5.

Write an equation in polnt-slope form for the line that passes through the glven
polnt with the slope provided.
(2.-1), m= -3

Answers

Answer:

(y+1) = -3(x-2)

Step-by-step explanation:

y-y₁=m(x-x₁)

notice the negatives in the formula.

this changes coordinates. the positives to negative and negatives to positives

Which best describes the inventor of a triangle?

Answers

Answer:

I think C

Step-by-step explanation:

help quickly pls area of a triangle: sine formula

Answers

Answer:

If you were to use the sine formula you would have to use the cosine formula to get one of the opposite sides and then use the sine formula.

For the area why not use 1/2 * 20 to get the base.

Then the height would be 24 * sin 63 = 21.38

That would give an area of 213.8

Please give real answers with an explaination. 30 points + I will give brainliest. No Docs/No Files/No Links only answer with explaination.

Answers

Answer:

option A

Step-by-step explanation:

The line splits the triangle ABC into two triangles with same base length.

Therefore ,

[tex]Area \ of \ ABC = Area \ of \ ABD + Area \ of \ CBD\\\\[/tex]

                   [tex]= (\frac{1}{2} \times base \times height) + (\frac{1}{2} \times base \times height)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times CD \times BD)\\\\=(\frac{1}{2} \times AD \times BD) + (\frac{1}{2} \times AD \times BD)[/tex][tex][ \ Given : AD = \ CD \ ][/tex]

                   [tex]= 2 \times (\frac{1}{2} \times AD \times BD)\\\\= 2 \times Area \ of \ ABD[/tex]

Kim's class voted on a location for a field trip. 3/4 of the class voted for the museum and 1/8 of the class voted for the zoo. The rest of the class voted for the nature park. What fraction of the class voted for the nature park?

Answers

Answer:

1/8

Step-by-step explanation:

3/4=6/8

6/8+1/8=7/8

1-7/8=1/8

I need some Help please!

Answers

Answer:

1) observational

2) sample

3) experiment

Answer:

1 no is observational

Step-by-step explanation:

2 no is sample

3 no is experiment

Find an equation of a line that is parallel to 2x+3y=6 and passes through the point (4, 4)

Answers

Answer:

Answer:

Step-by-step explanation:

Slope of a line 2x+3y=6 is -2/3

So line passing through (0,4) has same slope because both are parallel

From slope intercept form we have

Y-y1 =m(x-1)

Y-4= -2/3(x-0)

3Y-12 = -2x

3Y+2x = 12

Which is required equation of a line.

Step-by-step explanation:

Answer:

y = -2/3x + 20/3

Step-by-step explanation:

2x + 3y = 6

3y = -2x + 6

y = -2/3x + 2

y = -2/3x + b

4 = -2/3(4) + b

4 = -8/3 + b

20/3 = b

Which graph represents y-1 = 2(x - 2)?



Answers

Answer:

I only see 1 graph...

hksjfjf

Need the question answered it's urgent?

Answers

Answer:

x =5

Step-by-step explanation:

2x+x-5 =x+5

Combine like terms

3x - 5 = x+5

Subtract x from each side

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

2x -5 =5

Add 5 to each side

2x-5+5 = 5+5

2x = 10

Divide by 2

2x/2 = 10/2

x =5

Answer:

x = 5

Step-by-step explanation:

2x + x - 5 = x + 5

combine like term

3 x - 5 = x + 5

subtract x from 3x

3x - x - 5 = 5

2x - 5 = 5

add 5 to 5 , we get

2x = 5 + 5

2x = 10

divide ➗ 10 by 2

x = 10/ 2

x = 5

You buy a patty for $200 and pay 16% in tax (G.C.T). How much is money was paid to the cashier?

Answers

Answer:

$232

Step-by-step explanation:

Add 16% to 100% then multiply by 200

D) Sum of the two adjacent angles is 140°. If the second angle is 7 less than six times the first angle, find the two angles. (2 Marks)

Answers

Answer:

FIRST ANGLE = 21 degree

SECOND ANGLE = 119 degree

Step-by-step explanation:

140 = 6x - 7 + x

140 = 7x - 7

combine like terms

140 + 7 = 7x

147 = 7x

x = 21

second angle = 6(21) - 7 = 119

Ava buys a book for 8.58. She pays with a $10 bill. How much change will she get?

Answers

Answer:

1.42

Step-by-step explanation:

5x−x can u give me the anwser

Answers

Answer:

4x

Step-by-step explanation:

5x - x is simply

5x - 1x = 4x

Another way to think about it:

5x = 5 * x

5(x) - 1(x) = 4(x) = 4x

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

4x

Step-by-step explanation:

A number cube is rolled once. What is the probability of rolling a three

Answers

Answer:

1/6

Step-by-step explanation:

A dies has six sides

1,2,3,4,5,6

There is 1 three

P(3) = number of threes/ total numbers

      = 1 / 6

islah sold a shirt at sh 2000 making a loss of 9%, how much did islah paid for the shirt ?​

Answers

Answer:

2,197.8

Step-by-step explanation:

You began a shopping spree with $70 in your checking account. You bought a pair of headphones for $19.95. Then, you bought five pairs of shorts for $10.50 each. Then, you went to the bank and deposited a $105 check into your checking account. What is your account balance?

Answers

Answer:

$102.55

Step-by-step explanation:

70 - 19.95 - (10.50 X 5) + 105 = 102.55

A recursively defined sequence is shown below. a1 = 5 an+ 1 = 2an -7 The value of a4 is

1. -9
2. -1
3. 8
4. 15​

Answers

I think is




3. 8



Hpta me están poniendo a escribir mucho men

The value of a₄ is -9

What is recursively defined sequence?

Recursively defined sequence is the sequence where every term is calculated by the use of the one or more previous term given.

In this given problem

a₁ = 5

given relation between term is [tex]a_{n+1}[/tex] = 2aₙ -7

using this relation

take n=1

a₂ = 2a₁-7 =(2*5)-7=3

then by taking n=2

a₃ = 2a₂-7 =(2*3)-7=-1

then taking n=3

a₄= 2a₃-7 =(2*(-1))-7= -9

so the final answer will be a₄ = -9

learn more about Recursively defined sequence

Here: https://brainly.com/question/1480398

#SPJ2

how do i solve this equation again?? its y=mx+b

Answers

Answer:

4

Step-by-step explanation:

add 3 to 13

then divide 16 by 4 that gives you your final answer of 4

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