How can tangent be seen geometrically in the unit circle?

Answers

Answer 1

Answer:

The coordinates of the points on the unit circle help us to find the tangent of each angle. As you can see with this equation, the tangent of an angle is equal to the y-coordinate divided by the x-coordinate. For each angle, start by dividing each y-coordinate by the x-coordinate to get the tangent of that angle.

i hoped this helped a little :D


Related Questions

The area of an isosceles triangular land whose base side length 10 meter is 60 square meter. Find the measure of its remaining sides.​

Answers

Answer:

2√30m

Step-by-step explanation:

I hope it will be helpful to you

Tutorial
An isosceles triangle has an angle that measures 100°. What measures are possible for the
other two angles? Choose all that apply.
80 100 40 50

Answers

The only measure that is possible for the other two angles is 40 degrees.

What is triangle ?

Triangle can be defined in which it consists of three sides, three angles and sum of three angles is always 180 degrees.

Let's call the two other angles in the isosceles triangle "x". We know that the sum of the three angles in a triangle is always 180 degrees. Therefore, we can set up an equation:

100 + x + x = 180

Simplifying this equation, we get:

2x + 100 = 180

Subtracting 100 from both sides, we get:

2x = 80

Dividing both sides by 2, we get:

x = 40

So the other two angles must both measure 40 degrees.

None of the other choices (80, 100, or 50 degrees) are possible for the other two angles in an isosceles triangle with one angle measuring 100 degrees.

Therefore, the only measure that is possible for the other two angles is 40 degrees.

To learn more about Triangle from given link.

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The sales team at an electronics store sold 48 computers last month. The manager at the store wants to encourage the sales team to sell more computers and is going to give all the sales team members a bonus if the number of computers sold increases by 30% in the next month. a) What is the amount of increase in computers needed? b)What is the new amount of computers the team must sell?

Answers

Answer: a. 14 Computers

b. 62 Computers

Step-by-step explanation:

a) What is the amount of increase in computers needed?

Number of Computers sold last month = 48

Percentage increase required = 30%

Amount of increase in computers needed= 30% × 48

= 0.3 × 48

= 14.4

= 14 approximately

b)What is the new amount of computers the team must sell?

This will be the amount of Computers sold last month plus the increase.

= 48 + 14

= 62 Computers

Solve for X Show and explain your work Please

Answers

x=8.385

Step-by-step explanation:

Angle EBD is a right angle since it's facing the diameter ED

Hence triangle BED is a right isosceles triangle since we also know that EB=BD

so A is the midpoint of ED since it's the center of the circle and ED is a diameter

which implies ED=2×AD=2×6=12

Using the Pythagorean theorem on a right isosceles triangle which states:

a²+b²=c²

x²+x²=12²

2x²=144

x²=72

x=√72=8.485

Which expression can represent 70% of x?
3 ( x Over 4 ) minus one-half ( x Over 10 )
3 ( x Over 4 ) minus ( x Over 10 )
(x Over 2) + (x Over 10)
( x Over 2 ) + one-half ( x Over 4 )

Answers

Answer:

its b

Step-by-step explanation:

cuz

6. In a set of 10 questions ,4 marks are awarded for every correct answer and -2 marks
every wrong answer. Sunil gets 6 correct answers and 4 wrong answers. What is his
score?


Answer this question right , then I will award u brainlist and points

Answers

Answer:

16 points

Step-by-step explanation:

Hi there !

What is his  score?

6×4 - 4×2 =

= 24 - 8

= 16 points

Good luck !

Answer:

marks awarded for each correct answer = 4

marks awarded for each incorrect answer = -2

No.of Sunil's correct answer = 6

therefore, mark of Sunil's correct answer = 6 x 4 = 24

No.of Sunil's incorrect answer = 4

therefore, mark of Sunil's incorrect answer = 4 x -2 = -8 (here + and - is                                                                                                                  multiplied therefore the final answer will be -)

Sunil's total score = 24(positive marks) - 8(negative marks)

                               =24-8 = 16

This also is an integer question right?       ^_^                                                                                                                                                                  

Blake and Allie are keeping track of how many baskets they shoot each day. 1. In February, Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4. In March, Allie plans to shoot 10 baskets a day. 1 point By the end of which date will Blake have shot more'total baskets than Allie? (Write out the whole month, don't abbreviate it. ) *​

Answers

Answer:

Blake shoots 350 baskets. 2. In February, Allie shoots 400 baskets. 3. In March, Blake plans to shoot 25 baskets a day. 4.

PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

go 3 forward make a dot. and 8 down make a dot. then connect dots.

Answer:

all u do is get your mouse and move it and then do it TA-DA boom the answer XD

Step-by-step explanation:

comment below what u would say

Bella was out at a restaurant for dinner when the bill came. Her dinner came to $24. After adding in a tip, before tax, she paid $29.04. Find the percent tip.

Answers

Answer:

21%

Step-by-step explanation:

So we have to use percent change

The formula is subtracted/original multiply 100=percent change

so she added a $5.04 tip

5.04/24=0.21, then multiplied by 100=21

so she tipped 21%

A line contains the points (-6, -4) and (0,4). What is the equation of this
line in slope-intercept form?
4
OA) y=3*+
x+4
(
4
OB) y=
3
ОВ)
X-4
OC) y=x-4
OD) y=x+4

Answers

As y=4x−2 can be written as y=4x+(−2) . Hence, it's slope is 4 and intercept on y -axis is −2

Answer:

A) [tex]y=\frac{4}{3}x+4[/tex]

Step-by-step explanation:

Write the slope formula:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

________________________________________________________

Substitute and calculate

[tex]Substitute:[/tex]      [tex]x_1=-6\\ x_2=0\\ y_1=-4\\ y_2=4[/tex]    [tex]into\ m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Substitute

[tex]m=\frac{4-(-4)}{-(-6)}[/tex]

Determine the sign

[tex]m=\frac{4+4}{6}[/tex]

Calculate the sum or difference

[tex]m=\frac{8}{6}[/tex]

Cross out the common factor

[tex]m=\frac{4}{3}[/tex]

________________________________________________________

Substitute and calculate

[tex]Substitute[/tex]     [tex]m=\frac{4}{3}\\ x=-6\\ y=-4[/tex]     [tex]into\ y=mx+b[/tex]

Substitute

[tex]-4=\frac{4}{3}\times(-6)+b[/tex]

Reduce the expression to the lowest term

[tex]-4=-4\times2+b[/tex]

Calculate the product or quotient

[tex]-4=-8+b[/tex]

Rearrange variables to the left side of the equation

[tex]-b=-8+4[/tex]

Calculate the sum or difference

[tex]-b=-4[/tex]

Divide both sides of the equation by the coefficient of variable

[tex]b=4[/tex]

________________________________________________________

Substitute

[tex]Substitute[/tex]       [tex]y=\frac{4}{3}x+4\\ m=\frac{4}{3}[/tex]       [tex]into\ y=mx+b:[/tex]

[tex]y=\frac{4}{3}x+4[/tex]

________________________________________________________

Rewrite the equation of the line

[tex]Rewrite\ y=\frac{4}{3}x+4\ in\ slope-intercept\ form:[/tex]

[tex]y=\frac{4x}{3}+4[/tex]

I hope this helps you

:)

Alice makes a scale drawing of her bedroom. She uses a scale of 3 cm to represent 5 m. What ratio is Alice using?

Answers

Answer:

[tex]\frac{3}{500}[/tex]

Step-by-step explanation:

1m is 100 cm, so we have [tex]\frac{3}{500}[/tex]

A castle has to be guarded 24 hours a day. 7 knights are ordered to split each day's guard duty equally. How long will each knight spend on duty? Record your answer in minutes

Answers

Answer:

≈206 Minutes

Step-by-step explanation:

We know that the castle has to be guarded for 24 hours a day. Since there are 60 minutes in an hour, that means it must be guarded for 1,440 minutes (60 * 24 = 1,440). If we split this evenly between each of the 7 knights, through division, we know that they must each be on guard for 205.714285714 minutes, or approximately 206 minutes.

What is the solution of the system of equations shown below?
y = -x + 3
y = 4x - 2

A. (0,3)
B. (1,2)
C. (2,1)
D. (0, -2)

Answers

Answer:

B. (1,2) is the answer to the question

Step-by-step explanation:

i juts take the quiz

~brainliest ??

The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.

What is the solution to the equation?

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.

The linear equations are given below.

y = -x + 3                  ...1

y = 4x - 2                 ...2

From equations 1 and 2, then we have

4x - 2 = - x + 3

4x + x = 2 + 3

5x = 5

x = 1

Then the value of 'y' is given as,

y = - 1 + 3

y = 2

The solution of the linear equations y = -x + 3 and y = 4x - 2 will be (1, 2). Then the correct option is B.

More about the solution of the equation link is given below.

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which numbers are irrational

Answers

A and D because it isn’t a perfect root

Your cafeteria line requires 8 minutes on the average for each customer to proceed through the line and pay the cashier. The average time space between each customer is 30 seconds. If the line is open for 1 1/2 hours for lunch, how many customers can you serve for lunch?​

Answers

Answer:

You can serve 81 customers for lunch during the 11,5 hours opening.

Step-by-step explanation:

11,5 hours is 690 minutes.
Each customer takes 8,5 minutes (8 + 0,5)

690 / 8,5 = 81,17

As we can't serve "part" of customer:

81,17 ≈ 81 customers

A hotel has a rectangular-shaped meeting room that is 13.4 yds. wide and 15.1

yds. long. If carpet costs $1.71 per ft^2

, what would be the cost of carpeting the

meeting room?

Answers

✯ Appropriate Question -

A hotel has a rectangular shaped meeting room that is 13.4 yards wide and 15.1 yards long. If the carpenter cost $ 1.71 per feet² what would be the cost of carpenting the room ?

✯ Explanation -

Given :

Length of the meeting room = 15.1 yardBreadth of the meeting room = 13.4 yardRate of carpenting per feet² = $ 1.71

Need to find :

Cost of carpenting the room.

Solution :

THIS QUESTION IS BASED ON MEANSURATION TO SOLVE THIS QUESTION FIRST WE WILL CALCULATE THE AREA OF THE MEETING ROOM AND THEN WE WILL CALCULATE THE COST OF CARPENTING THE MEETING ROOM.

Calculating the area of the meeting room

[tex] \star \: \large \boxed{\sf{ Area_{(rectangle)} = Length × Breadth }}[/tex]

[tex] \large\rm{ Area_{(rectangle)} = (15.1 × 13.4) yard² = 202.34 \: yards²}[/tex]

Area of the meeting room = 202.34 yard²

Calculating the cost of carpenting the meeting room

First we will convert yards into feet

We know,

1 yard = 3 feet

202.34 yard = 202.34 × 3 = 607.02 feet

Now calculating the cost of carpenting the meeting room

Rate of carpenting = $ 17.1 per feet²

Cost of carpenting = $ ( 17.1 × 607.02) = $10,380.04

Final Answer -

Cost of carpenting the meeting room = $10,380.04.

[tex] \rule{180pt}{3pt}[/tex]

5 units 2 units 2 units 3 units 2 units the area of the figure is blank square units

Answers

Answer:

Your answer is 8 Square Units

Step-by-step explanation:

3 x 2 = 6

2 x 2 = 4 / 2 = 2

6 + 2 = 8

Hope this Helps!

Find the missing angle measures:

Answers

Answer:

B = 62°

W = 56°

X = 56°

Y = 62°

(-4,1); perpendicular to y= -5/6x +3

Answers

Answer:

y = (6/5)x + 29/5

Step-by-step explanation:

To avoid confusion please enclose the fractional exponent inside parentheses:  y= -5/6x +3 =>  y= (-5/6)x +3

The new line is to be perpendicular to the given line (above).  The slope of this new line must be the negative reciprocal of (-5/6), which is (6/5).

Usig the slope-intercept formula, we get y = mx + b, or

1 = (6/5)(-4) + b

The LCD here is 5.  Multiplying all 3 terms by 5, we get:

5 = 6(-4) + 5b, or

5 = -24 + 5b, or

5b = 29

Then b = 29/5, and the desired equation is:

y = (6/5)x + 29/5

Which of the following is a factor of 2x2-2​

Answers

Answer:

2(x-1)

Step-by-step explanation:

Multiply 2 by the terms inside.

Answer:

this is both factors

2(x+1), (x−1)

Step-by-step explanation:

Evaluate the expression :

( 4 \ \times \ 5 )^{2} \ - \ 6 \ + \ 3(4 × 5)
2
− 6 + 3 =

Answers

ANSWER

221

use a calculator

Algebra 1
> U.15 Solve a system of equations using any method: word problems GDQ
Tutor
Write a system of equations to describe the situation below, solve using any method, and fill
in the blanks
Victor and Susan each want to run for president of their school's student body council. In
order to do so, they must collect a certain number of signatures and get a nomination. So far,
Victor has 23 signatures, and Susan has 19. Victor is collecting signatures at an average rate
of 9 per day, whereas Susan is averaging 11 signatures every day. Assuming that their rate of
collection stays the same, eventually the two will have collected the same number of
signatures. How long will that take? How many signatures will they both have?
In
days, Victor and Susan will each have collected
signatures.
Submit
O
к

Answers

Answer:

cl jsjsjsjnsmamansnsnannananann

Annete completes a 6.8-mile bike route in 90 minutes. She rides her bike at a constant speed for the entire route. To find how fast she traveled, she solves the equation 6.8=x(90). What does x represent?


Answers

Answer:

Her speed in miles per minute

Step-by-step explanation:

Not sure if that's true but yeah

Need help on this question ASAP pleasee and thank you!!

Answers

Answer:

Step-by-step explanation:

Raising both sides to the power of 10, we get [tex]x^{2}+x+14=10^{3x-5}[/tex].

Answer:

Step-by-step explanation:


PLEASE HELP FOR BRAINLEST!!!!

Answers

Answer:

15 cm is the correct answer.

Answer:

x = 15 cm

Step-by-step explanation:

using Pythagoras' identity in the right triangle.

the square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 9² + 12² = 81 + 144 = 225 ( take square root of both sides )

x = [tex]\sqrt{225}[/tex] = 15

100 points and brainlyest
Part 2 - Writing Equivalent Expressions - You will now use mathematical properties to create two expressions that are equivalent to Sara’s expression.
Property Used
Original/Changed Expression
New expression with property used
Commutative Property of Addition (rearrange the added terms in the parentheses to group like terms together.)
5(2j + 3 + j)

Combine Like terms after rearranging them
(put your answer from the previous row here)

Distributive Property of multiplication over addition (multiply the number outside the parentheses)
(put your answer from the previous row here)
(Use this final expression that you write in this box on the next slide.)

Answers

Answer:

Commutative Property of Addition: to change the order of numbers in an addition or multiplication operation does not change the sum or the product.

New expression with property used: 5(2j + j + 3)

Combine like terms:  when combining like terms, add their coefficients

The like terms are 2j and j.  Add their coefficients: 2 + 1 = 3, which means that the combination of like terms is 3j.

New expression with property used:  5(3j + 3)

Distributive Property of multiplication over addition: multiplying a sum by a number gives the same result as multiplying each added term by the number and then adding the products together.

So 5(3j + 3) = 5 · 3j + 5 · 3 = 15j + 15

New expression with property used:  15j + 15

Answer this pls!!

-7k - 4k = 8 - 2k - 8k

Answers

Answer:

Step-by-step explanation:

Using the equation, first move all of the k to the left side, then, you'll get as what I write in the attachment, minus when move to the other side will be positive, and vice versa.

if the breadth of rectangle is one-fourth of its length and perimeter in60 CM find the length and breadth of rectangle

Answers

Answer:

Step-by-step explanation:

Let length be x

So breadth will be 1/4x

2(x+1/4x)=60

x+1/4x=60/2=30

find lcm and the lcm would be 4 and make denominators equal and add it

4/4x+1/4x=30

5/4x=30

x=30*4/50=6*4=24

Therefore the length is 24/4=6cm and breadth is 24cm.

What is the constant of proportionality from the following equation: s = 0.75u
u
A
0.75
u
S

Answers

Answer:

0.75

Step-by-step explanation:

The equation representing direct proportion is

y = kx ← k is the constant of proportionality

s = 0.75u ← is in this form

with k = 0.75

find the circumference of a circle whose radius is 3 3/4 ft.

Answers

Applying the expression for the circumference of a circle we found the circumference to be 23.565 ft

Mensuration of flat shapes

Given Data

Radius =  3 3/4 ft

Let us first convert to proper fraction

Radius = 15/4 ft

We know that the expression for the circumference of circle is given as

Circumference = 2πr

Substituting our given data for radius we have

Circumference = 2*3.142*15/4

Circumference = 94.26/4

Circumference = 23.565 ft

Learn more about circumference here:

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In "Never Retreat" from "Eyes Wide Open" What is the author claiming about whether inventions are created to meet current needs? Use two details from the text to support your response A line passes through the points(4,3) and (9, -7).What is the equation for the line inslope-intercept form? Which of the following actions would have violated the navigation ActsaExporting directly to France bShipping indigo to Holland using English vessels cExporting wheat and tobacco to England dShipping furs on boats operated by colonial crews Zinc reacts with Vibranium (II) chloride to produce zinc chloride and Vibranium. Write the word equation for this reaction. Monic, a college professor, makes 30 photocopies of a magazine article and passes the article out to her students. The students are assigned to read the article and write an opinion paper about it. Has monic violated copyright law?. 16. The_____ is the solid part of Earth. 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