Which of the following is equal to tan O using coordinates on the unit circle?

А) У/ х
B) xly

C) x
D) y

Answers

Answer 1

The expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

What is right angle triangle property?

In a right angle triangle, the ratio of the opposite side to the base side is equal to the tangent angle between them.

[tex]\tan\theta=\dfrac{b}{a}[/tex]

Here, (a) is the base side, (b) is the opposite side.

Let suppose y is the length of opposite side in a unit circle and x is the length of base side. Thus, the value of tan theta is:

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

Hence, the expression which is equal to tan O using coordinates on the unit circle is y/x. Option A is correct.

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Related Questions

Shira plants carrots in 4/10 of her garden and potatoes in 25/100 of her garden she wants to know what fraction of her garden has carrots and potatoes

Answers

Answer:

In the white box with the "?" PUT 40

final answer: 13/20

Step-by-step explanation:

4/10 + 25/100

can only be added if you find a common denominator. That is the step being asked for on your screen. 4/10 is the same as 40/100.

4/10 + 25/100

= 40/100 + 25/100

Keep the bottom, add the tops.

= (40+25)/100

= 65/100

always simplify when possible. 5 goes into both 65 and also 100

65/100

= 13/20

13/20 of Shira's garden is planted with carrots and potatoes.


If 27 out of 30 people passed a driving
test, what percent failed?

Answers

Answer:

10% failed the driving test

Step-by-step explanation:

27/30 = 90% and since 90% is what PASSED, 10% is what FAILED

this should be correct... if its not im sorry

Answer:

10% failed

27 / 30 is 90% so, 100% - 90% = 10%

Please mark Brainliest!!

Help me please I need it right now like now now

Answers

Answer:

$0.84

Step-by-step explanation:

b) Find
the sum of the series 72 +70+68+ + 40

Answers

I think the answer is 250

How does the radian measure of a central angle of circle O with radius 3 cm change when
circle O is dilated by a factor of 2? Explain.

Answers

Answer:

Step-by-step explanation:

The radius of the is extended to 2*3 = 6 cm.

The measure of the central angle is unchanged.

Prompt
How would paying off the lowest outstanding balance credit card first be beneficial over paying off the one with the highest
interest rate?

Answers

Answer:

NOT: Actually paying the one with the highest interest rate is logically the right thing to do, because you can shorten the amount that you spent on interest or charges by month, but paying off the lowest outstanding balance credit card first makes sense if you could transfer the interest balance which is the highest ...

Step-by-step explanation:

Answer:

Pay at least the minimum payment on all credit cards each month to avoid penalties. After that, work toward paying off the debt on the card with the highest interest rate. While some advocate for paying off your smallest debt first because it seems easier, you’ll save more on interest over time by chipping away at high-interest debt.

Step-by-step explanation:

100% on edge

Jack Dossey wears socks of two colours yellow and orange. he has altogether 20 yellow socks and 20 Orange socks in his drawer. supposing he has to take out the socks in the dark, how many must he take out to be sure that he has a matching pair?

Answers

Answer:

2

Step-by-step explanation:

I don't know why am I so bad at math???

Find the sum of the n terms using the formula a(1-r^n)/1-r 1,3/2,9/4,27/8,81/16, …

Answers

Answer:

[tex]S_5=\frac{211}{16}[/tex]

Step-by-step explanation:

We can easily see that the common ratio is [tex]r=\frac{3}{2}[/tex] and we are to find the first [tex]n=5[/tex] terms:

[tex]\displaystyle S_n=\frac{a_1(1-r^n)}{1-r}\\\\S_5=\frac{1(1-(\frac{3}{2})^5)}{1-\frac{3}{2}}\\\\S_5=\frac{1-\frac{243}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{-\frac{211}{32}}{-\frac{1}{2}}\\ \\S_5=\frac{422}{32}\\\\S_5=\frac{211}{16}[/tex]

Whoever answers these 6 area of composite shapes will get brainliest.

Thank you for your hard work!

Answers

Answer:

80 mi²63 in²32 m²44 cm²59.5 ft²48 km²

Step-by-step explanation:

Q1

8 x 4 + 12 x 432 + 4880 mi²

Q2

5 x 3 + 12 x 415 + 4863 in²

Q3

4 x 2 + 8 x 38 + 2432 m²

Q4

10 x 4 + 2 x 240 + 444 cm²

Q5

5 x 2 + 11 x 4.510 + 49.559.5 ft²

Q6

3 x 1 + 9 x 53 + 4548 km²


If you vertically compress the linear parent function, f(x) = x, by a factor of 2,
what is the equation of the new function?

Answers

Answer:

f(2)=x

Step-by-step explanation:

Number one you did not give enough information for me to solve the question but from what you did provide I got the answer which is provided above

order least to greatest -20 3/4, -15 1/2, -14 3/4,-1/4

Answers

Answer:

its already in order from least to greatest

Step-by-step explanation:

Already ordered to lease to greatest

Katie recorded the length in inches of the ribbon pieces she was going to use for a project use this information for questions one and two which line plot correctly shows the data

Answers

Answer:

you didnt show any picture so i cant answer

Step-by-step explanation:

Answer:

D OR B hope this helps!

Step-by-step explanation:

Find the factor of each ff.
x²+27x+49​

Answers

Answer:

There are no factors.

Step-by-step explanation:

x²+27x+49​ is prime.

(a) Find the area of the shaded region in the figure below. (Take a = 3.14)
4 m
5 m
12 m
[31
(6)
(11)
(c)
14 m
TH
6m: fom
Ilm
*
- 7 m
5 m
th
The figure shows the plan of a room. Find the
(i)
perimeter of the whole room
area of the whole room
[3]
8
[2]
6
/13 cm 2
3
5
4
The diagram shows a circle of radius 13cm being divided into S equal sectors. Find
the
(i)
(1)
Area of the circle,
Total area of the sectors 1 , 3, 5 and 7
[Take 3.14]

Answers

Step-by-step explanation:

Firstly find the area if the parallelogram which is

=length of the base × vertical height

=

[tex]12m \times 5m[/tex]

=

[tex]60 {m}^{2} [/tex]

Now solve for the area of the circle

=

[tex]\pi {r}^{2} [/tex]

RADIUS = DIAMETER ÷2

[tex] \frac{4m}{2} [/tex]

=

[tex]2m[/tex]

so the area of the circle

=

[tex] \frac{22}{7} \times 2m \times 2m[/tex]

[tex] \frac{22}{7} \times 4 {m}^{2} [/tex]

[tex]12.57 {m}^{2} [/tex]

subtract the area of the circle from the parallelogram

=

[tex]60 {m }^{2} - 12.57 {m}^{2} [/tex]

=

[tex]47.43 {m}^{2} [/tex]

Done

Jeff had $20. He spent
3/8 of his money on lunch. How much money does Jeff have left

Answers

3/8 of $20

20 ÷ 8 = 2.5
2.5 × 3 = $7.5

A rectangular prism has a length of 20 meters, a height of 12 meters, and a width of 12 meters. What is its volume, in cubic meters?

PLEASE HELP ASAP ME AND MY FRIEND ARE STRUGGLING

Answers

Answer:

2880

Step-by-step explanation:

V=whl=12·12·20=2880

If f (2) = (2 - 3)2 +4 and g(2) = 23 + 2 Which statement is True

Answers

Answer:

HOPE THIS HElps

Step-by-step explanation:

Determining whether a relation is a function on a graph is relatively easy by using the vertical line test. If a vertical line crosses the relation on the graph only once in all locations, the relation is a function. However, if a vertical line crosses the relation more than once, the relation is not a function

Which measure of spread is best for the data in the table?
City
Population
(thousands)
1
340
2
480
3
385
4
450
5
600
6
325
O A. range
OB. quartile
O C.
O D. interquartile range
mean absolute deviation

Answers

Answer:

the answer is C mean absolute deviation

PLEASE HELP FOR BRAINLIEST :(((

Find the circumference and the area of a circle with radius 9m.

Use the value 3.14 for pi, and do not round your answers. Be sure to include the correct units in your answers.

Answers

The circumference and the area of a circle with a radius of 9m is 28.26

How to find the circumference

The circumference of a circle is its perimeter or distance around it. It is denoted by C in math formulas and has units of distance, such as millimeters (mm), centimeters (cm), meters (m), or inches (in). It is related to the radius, diameter, and pi using the following equations:

Given that:

Circumference of Circle = [tex]2\pi r[/tex]

[tex]9x=28.26[/tex]

[tex]9*3.14=28.26c[/tex]

[tex]or[/tex] [tex]28.26c[/tex] ÷ [tex]\pi(3.14)=9r[/tex]

Therefore, The circumference and the area of a circle with a radius of 9m is 28.26

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4. Select all expressions that are equivalent to 3⁹ a. 83 b. (3.3) c. (34)²​

Answers

Answer:

C and B

Step-by-step explanation:

Evaluate all the exponents

3^8: 6,561

8^3 = 512

(3 * 3) ^4 = 6,561

(3^4)^2 = 6,561

Options C and B would work.

The camera cost $540 if the sales tax is 7.2% what is the tax change and the total cost?

Answers

Answer:

$75 ?

Step-by-step explanation:

If this is wrong super sorry :)

the tax rate is 6.8%

what is the tax on $9.95


round to the nearest hundredth (explain your answer)

Answers

Answer: $0.68

Step-by-Step Explanation:

Tax Rate = 6.8%
Tax Rate on $9.95 = ?

Using the Percentage Formula,
= 6.8/100 x 9.95
= 0.6766

Therefore,
Rounding off to the nearest hundredth:
= $0.68

May I please get help to this question.

Answers

Answer: 3

Step-by-step explanation:

Does anyone understand this?
Determine the degree of each polynomial listed.


1. y4 x3 v + 14


2. 2x + 6


3. 5y10 – 6x7y3 – 4y – 5


4. x3 +4y – 9


5. 60x2 y + 8

Answers

Answer:

811033

Hope it helps.

Determine the equation of the line passing through the points (−1,1) and (1,7).

Write the line in standard form Ax+By=C.

Answers

Answer:

[tex]3x - y = -4[/tex]

Step-by-step explanation:

To make things easier, let's first find the equation in slope-intercept form ([tex]y = mx + b[/tex]  where m is the slope and b is the y-intercept.

1. Find the slope:

[tex]\frac{7 - 1}{1 - (-1)} = \frac{6}{2} = 3[/tex]

2. Find the y-intercept by plugging in (-1,1) into the equation [tex]y = 3x + b[/tex]

[tex]1 = 3(-1) + b[/tex]

so [tex]b[/tex] = 4

3. Therefore the equation of the line in slope-intercept form is [tex]y = 3x + 4[/tex]

4. To convert slope-intercept form into standard form, let's move the 3x over to the other side and divide by -1 to get rid of the negative.

Our result is [tex]3x - y = -4[/tex].

Hope this helps :)

Solve using substitution
y= 7x + 6
4x - 3y =16

Answers

Answer:

{y,x} = {-8,-2}

Step-by-step explanation:

Hope this helps.

(10 times 2) + 5 times 8 =

Answers

The answer is 60 because 10 x 2 is 20 and 5 x 8 is 40 and add those together to get 60

Evaluate A² for A = -4.

Answers

Answer:

-4^2= 16

Step-by-step explanation:

a^2 when A=-4 means -4^2 which, when expanded means, -4*-4 that equals a positive 16 because the negatives cancel out.

Answer:

-4^2= 16

Step-by-step explanation:

What is the value of x

Answers

Answer:

x = 24

Step-by-step explanation:

Sinθ = opposite side / hypotenuse

Sin30° = AB/BC

½ = 12/x

x = 12 × 2

x = 24

Answer:

x = 24

Step-by-step explanation:

SOH (Sin = Opposite/Hypotenuse)

CAH (Cos = Adjacent/Hypotenuse)

TOA (Tan = Oppositie/Adjacent)

The angle 30 degrees is given. The two values we have are 12 and x. 12 is opposite of the angle and x is on the hypotenuse of the triangle. Because we know this, we can plug those values into one of our formulas from earlier. This gives us the formula for sine.

Sin(30) = 12/x

Plug Sin(30) into your calculator. This gives you the value Sin(30) = 0.5

0.5 = 12/x

Multiply each side by x

0.5x = 12

Divide off 0.5 from both sides

x = 24

What is the area of this figure? Please help.

Answers

The area of the composite figure can be found by summing the whole area that made up the figure. Therefore, the area of the figure is 213.5m²

Area of a composite figure

The area of the composite figure is the sum of the area of the whole figure.

Therefore, the composite figure can be divided into 2 triangles and two rectangles.

Hence,

area of triangle1 = 1 / 2 × 10 × 13 = 65 m²

area of the triangle2 = 1 / 2 × 15 × 7 = 52.5 m²

area of the rectangle1 = 8 × 3 = 24 m²

area of rectangle2 = 7 × 6 = 42 m²

area of rectangle3 = 5 × 6 = 30 m²

Therefore,

area of the composite figure = 65 + 52.5 + 24 + 42 + 30 = 213.5 meters squared

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