Which of the following could be points on the unit circle?
A. ( 5/13, 12/13)
B. (6/7, pi13/ 7)
C. (1/3, 2/3)
D. (4/3, 4/5)​

Answers

Answer 1

Answer:

Points A and C are on the unit circle

Step-by-step explanation:

The unit circle is a circle of radius 1, that is, all the points that are inside the circle have the sum of the squares of its coordinates that are at most 1. Here, we have to test this for each option.

In options B and D, the coordinates 13/7 and 4/3, respectively, means that this sum will be larger than 1, and this points will not be on the unit circle. Now we text for options A and C.

A. ( 5/13, 12/13)

[tex]\sqrt{(\frac{5}{13})^2+(\frac{12}{13})^2} = \sqrt{\frac{25}{169}}+\sqrt{\frac{144}{169}} = \sqrt{\frac{169}{169}} = \sqrt{1} = 1[/tex]

Since the sum of the squares is 1, the point is on the unit circle.

C. (1/3, 2/3)

[tex]\sqrt{(\frac{1}{3})^2+(\frac{2}{3})^2} = \sqrt{\frac{1}{9}}+\sqrt{\frac{4}{9}} = \sqrt{\frac{5}{9}}[/tex]

Since the sum of the squares is less than 1, the point is on the unit circle.


Related Questions

WILL MARK BRAINLIEST ANSWER ASAP
Which answer choice correctly represents an algebraic expression for 8 less than a number?
a. x-8
b. 8-x
c. x+8
d. 8x

Answers

Answer:

A

Step-by-step explanation:

1

1 " a number x" →x.

2

2 "less than a number x" means to subtract →x−

3

3 "8 less than a number x" means to subtract →x−8.

(BRAINLIEST) and more in the description.

Confession: I suck at math lol........

Description and benefits: The person with the correct answer will be given 30 points, brainliest, five-star rating, and a thanks. If you answer incorrectly just to get rewards you will be reported to Brainly and your answer will be deleted to give someone else a chance.

Answers

Answer:

33.8

Step-by-step explanation:

use long division

Answer:

33.8

Step-by-step explanation:

top in bottom out

5[tex]\sqrt{169\\}[/tex]

5 goes into 16 3 times therefore leaving you with 1. bring the 9 down next to the 1 and you have 19. 5 goes into 19 3 times so its 19-15=4 then you bring a zero next to the 4 and you get 40. 5 goes into 40 8times therefore leaving you with 33.8

Hoped this made sense :)

10. The community garden has 4
acres. Each garden plot is 1/3 of an
acre. How many garden plots are
there in the garden?
6th grade math

Answers

Answer:

12

Step-by-step explanation:

In four acres there are 3 gardens so you just have to multiply 4x3=12

12 garden plots

because 1/3+1/3+1/3 makes a whole. Count until you get 4 whole and you should end up with 12.

4.2 + 3.5 + 0.5 + 4.0​

Answers

The answer is 12.2
I calculated it on the calculator

Answer:

12.2

Step-by-step explanation:

i put it in my calculator and thats what i got

What is x>5 graph algebra

Answers

Answer:

Step-by-step explanation:

david has car shampoo 800ml used with 1800ml of water. how much car solution should i use for 360ml?​

Answers

Answer:

1800ml of water= 800 ml of car shampoo

1 ml of water = 800/1800 ml of car shampoo

360 ml of water = 800/1800 * 360 ml of car shampoo

= 160 ml of car solution

hope it helps you

Jolie purchased a concert ticket on a web site. The original price of the ticket was $110. She used a coupon code to receive a 15% discount. The web site applied a 10% service fee to the discounted price. Jolie’s ticket was less than the original price by what percent?

Answers

Answer:

10 percent

Step-by-step explanation:

i took a test

Using the logarithm, solve the following equation for x.
6400 = (8) (2^4x)

Answers

Answer:

x = 2.411

Step-by-step explanation:

6400 = (8) (2^(4x))

Divide both sides by 8 to get;

6400/8 = (2^(4x))

800 = (2^(4x))

Using logarithms, we can solve as;

Log 800 = 4xLog 2

4x = Log800/Log2

4x = 2.9031/0.3010

4x = 9.6449

x = 9.6449/4

x ≈ 2.411

1.Interest rate=7%p.a.Find the interest of Rs 200 for years.
2.Interest rate=11%p.a.Find the interest of Rs 2000 for years.

Answers

Step-by-step explanation:

Question does not specify how many year and is in plural form considering the level of question I will consider it is some typo error and is just 1 year

Step 1

Finding Intrest for Rs200

We have

Principal(P) = Rs 200

Rate (R) = 7%pa

Time (T) = 1year

Intrest(I) =?

We have ,

I =PTR/100

=200*7/100

=Rs 14

Step 2

Finding intrest for Rs2000

Given

Principal(P)=Rs2000

Rate(R) =11%

Time(T) =1 year

Intrest(I) =?

We know,

I =PTR/100

=2000*11/100

= 20*11

=Rs 220

The hypotenuse of a 45 degrees - 45 degrees - 90 degrees triangle is 5sqrt(6) Find the length of one leg of the right triangle

Answers

Answer:

Step-by-step explanation:

let the length of a leg of right angled associate triangle=x

x²+x²=(5√6)²

2x²=150

x²=150/2=75

x=√75=5√3

A middle school needs buses to
transport 579 students. If each bus
carries 48 students, what is the fewest
number of buses needed?

Answers

Answer:

13 buses ml hope that helps

Answer:

13 buses

Step-by-step explanation:

There are 579 students and each bus carries 48 students so:

579 ÷ 48 = 12.1

Now you could say that only 12 buses are needed but there would be an extra student remaining so you need 13 buses.

How to solve this? Please help!

Answers

Answer:

it ccccccccccccccccccccc

Step-by-step explanation:

need help asap please !!

Answers

Answer:

17

Step-by-step explanation:

As we know that when diagonals bisect each other it gets divided into two equal parts so

CG = CE

6z - 85 = z

6z - z = 85

5z = 85

z = 85 / 5

Therefore z = 17

Hope it will help :)

Answer:

[tex]\displaystyle 17[/tex]

Step-by-step explanation:

[tex]\displaystyle 6z - 85 = z → 85 = 5z; 17 = z[/tex]

I am joyous to assist you at any time.

Need help #2. The answer is shown, but I don’t know how to get to the answer. Please teach and show steps.

Answers

Answer:

please refer to the above attachment

(D) is the right answer.

In this figure shown, m and n are parallel lines. What’s the value x?

Answers

17 on the I think mark ifim right

What is the vertex for y=4x^2 -12x+2

Answers

Answer:

( 3/ 2 , − 7 )

Step-by-step explanation:

Dont worry i checked my answer two times :)

Determine the quadrant when the terminal side of the angle lies according to the following conditions: sin (t) > 0, sec (t) > 0.

Answers

Answer:

First Quadrant

Step-by-step explanation:

Quadrant I : sin, cos, tan, cot, sec, cosec

Quadrant II : sin, cosec

Quadrant III : tan, cot

Quadrant IV : cos , sec

1. Find the length a of the altitude drawn to the hypotenuse. [Triangle is not drawn to scale.]
a
4.
16
A. a = 64
B. a = 20
C. a = 2V5
D. a = 8
ninate Education Inc.

Answers

Answer:

C.

Step-by-step explanation:

look at angle uvy and angle yvw in the image below which the following is the best description for this pair of angles

Answers

There is no image how do you expect me to help

BD bisects ABC. Find the value of x.
a.x=3/17
b.x=3
c.x=9
d.x=-3

Answers

The answer is option ‘b’

f(x)=14−0.5xf, left parenthesis, x, right parenthesis, equals, 14, minus, 0, point, 5, x
f(30)=f(30)=f, left parenthesis, 30, right parenthesis, equals

Answers

Answer:

-1

Step-by-step explanation:

The value of the function when domain y = 30 is f ( 30 ) = -1

What are domain and range?

The domain of a function is the set of values that we are allowed to plug into our function. This set is the x values in a function such as f(x). The range of a function is the set of values that the function assumes. This set is the values that the function shoots out after we plug an x value in.

The range is the set of outputs of a relation or function. In other words, it's the set of possible y values. Recall that ordered pairs are of the form (x,y) so the y coordinate is listed after the x. The output is listed after the input.

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) is

f ( x ) = 14 - ( 0.5 )x   be equation (1)

Now , when the domain of the function x = 30 , we get

f ( 30 ) = 14 - ( 0.5 ) ( 30 )

f ( 30 ) = 14 - 15

On further simplification , we get

f ( 30 ) = -1

Hence , the function is f ( 30 ) = -1

To learn more about domain and range click :

https://brainly.com/question/28135761

#SPJ3

what happens to the graph when a zero is repeated vs when a zero is not repeated? Use y=(x-3)^2 and y=x-3 to explain.

Answers

Answer:

look at the screen shot

Step-by-step explanation:

Which of the following best forms the figure shown?
2 angles that meet at an endpoint
2 lines that meet at an endpoint
2 line segments that meet at an
endpoint
2 rays that meet at an endpoint
My Procluess >

Answers

Answer: 2 rays that meet an endpoint

25 percent of 60 students in a class failed in the test. how many students failed the test​

Answers

Answer:

15 students

Step-by-step explanation:

25% = 1/4, so you can just do 1/4 of 60 or 1/4 * 60. 60/4 = 15 students.

Correct! Got it right on mine!

Help me find answer to this

Answers

Answer:

[tex]\angle B=41.81^\circ[/tex]

Step-by-step explanation:

Trigonometric Ratios

The ratios of the sides of a right triangle are called trigonometric ratios.

The longest side of the triangle is called the hypotenuse and the other two sides are the legs.

The sine ratio relates the opposite side of an angle of the triangle with the hypotenuse:

[tex]\displaystyle \sin B=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

Here, the opposite leg to angle B is the side CA=2, and the hypotenuse is the side AB=3, thus:

[tex]\displaystyle \sin \angle B=\frac{2}{3}=0.667[/tex]

Calculating the inverse sine function:

[tex]\angle B=\arcsin (0.667)[/tex]

[tex]\boxed{\angle B=41.81^\circ}[/tex]

s
is inversely proportional to
t
.
When
s
=
0.6
,
t
=
4

Work out
t
when
s
=
12

Answers

0.03

Step-by-step explanation:

S ∝ t, introduce constant, if value of S depends on t only. Let that constant be 'k'.

=> S = kt

When, S = 0.6 & t = 4:

Answer

=> 0.6 = k(4)

=> 0.6/4 = k

=> 0.15 = k

Therefore, when t = 0.2

=> S = kt

= (0.15)(0.2)

= 0.03

Solve for x. Show all work for credit.

Answers

No clue at all sorry!

Does anyone knows the answer to these two?

Answers

Answer:

It would equal 25/38.29

Step-by-step explanation:Hope this helps!

Find the equation of the perpendicular line to 2x-5y-10=0 and containing point (-1,5)

Answers

Answer:

y = -2.5x + 2.5

Step-by-step explanation:

Put the equation into y = mx + b form by isolating y:

2x - 5y - 10 = 0

2x - 5y = 10

-5y = -2x + 10

y = 2/5x - 2

Perpendicular lines have opposite reciprocal slopes, so the line's slope will be -5/2, or -2.5

Plug in the slope and given point into y = mx + b, and solve for b:

y = mx + b

5 = -2.5(-1) + b

5 = 2.5 + b

2.5 = b

Plug in the slope and y intercept:

y = mx + b

y = -2.5x + 2.5 is the equation of the perpendicular line

Solve for x.
ASAP, please help me

Answers

The answer to this is 81
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