Given a unit circle, what is the
value for y?
(1/3, y)
y = ?

Given A Unit Circle, What Is Thevalue For Y?(1/3, Y)y = ?

Answers

Answer 1

Answer:

[tex]y=+\frac{2\sqrt{2} }{3}\\[/tex]

Step-by-step explanation:

In the unit circle we have:[tex]x^{2} +y^{2} =1[/tex]

In the picture we see that x=1/3.

Using de equation of unit circle:

[tex](\frac{1}{3} )^{2} +y^{2} =1\\\\\frac{1+9y^{2} }{9}=\frac{9}{9} \\\\y^{2} =\frac{8}{9} \\\\\sqrt{y^{2}} =\sqrt{\frac{8}{9}}\\\\y=+\frac{2\sqrt{2} }{3}[/tex]

y is positive because y are in the first quadrant of the cartesian plane.


Related Questions

An angle measures 10 more than four times a number. It’s supplement is two more than three times the number. What is the measure of each angle in degrees

Answers

Answer:

4x +10 + 3x +2 = 180 (since they're supplementary, the angles together =180)

7x +12 =180  (combine like terms on left side, and subtract 12 from both sides)

7x = 168 (divide both sides by 7 to isolate x)

x= 24

angle 1 = 4(24)+10 (plug x into the expression for each angle, and solve)

..................96 +10

angle 1 = 106 degrees (the measure of the first angle)

angle 2 = 3(24) +2

..................72 +2

angle 2 = 74 (the measure of the second angle)

106 +74 =180 (the two add up to 180, so they're supplementary)

Step-by-step explanation:

I hope this helps :)

the pass mark for an exam is 92%
abbi scored 62 out of 68
does she pass the exam

Answers

Answer:

68/100*92= 62.56

No abbi does not pass exam.

Answer:

Yes that is correct

Step-by-step explanation:

68/1009262.56

A ship travels 60 miles in the direction S 45° E, then travels 150 miles in the direction S 20° W. What is the distance, x, from the starting location?

Answers

Answer:

183.6 miles

Step-by-step explanation:

Kindly check the picture attached for the solution diagram

Using the cosine formula (Diagram has two sides and an included angle)

x² = y² + z² - 2zy * cosX

x² = 150² + 60² - 2(150*60) * cos115

x² = 22500 + 3600 - 18000 * −0.422618

x² = 22500 + 3600 + 7607.1287

x² = 33707.128 miles

x = √33707.128

x = 183.59501

x = 183.6 miles

Answer:

D

Step-by-step explanation:

183.60

In City​ A, the temperature rises 4(degrees)F from 8 A.M. To 9 A.M. Then the temperature drops 7F from 9 A.M. To 10 A.M. In City​ B, the temperature drops 6F from 8 A.M. To 9 A.M. Then the temperature drops 2F from 9 A.M. To 10 A.M. Write an expression that represents the change in temperature from 8 A.M. To 10 A.M. For each city. Simplify and interpret each sum. Use pencil and paper. Which city has the greater change in​ temperature?

Answers

Answer:

City A:

[tex]A - 3[/tex]

City B:

[tex]B - 8[/tex]

City B has a greater change in temperature.

Step-by-step explanation:

City A:

Let the initial temperature of city A at 8 AM = [tex]A\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 4[tex]^\circ F[/tex] rise

Temperature at 9 AM = [tex](A+4)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 7[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](A+4 -7 )\ ^\circ F = (A-3)\ ^\circ F[/tex]

Total change in temperature = [tex](A - 3) - A = 3\ ^\circ F[/tex] drop

City B:

Let the initial temperature of city B at 8 AM = [tex]B\ ^\circ F[/tex]

Temperature change from 8 AM to 9 AM: 6[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6)\ ^\circ F[/tex]

Temperature change from 9 AM to 10 AM: 2[tex]^\circ F[/tex] drop

Temperature at 9 AM = [tex](B-6 -2 )\ ^\circ F = (B-8)\ ^\circ F[/tex]

Total change in temperature = [tex](B - 8) -B = 8\ ^\circ F[/tex] drop

Therefore, the answer is:

City B has a greater change in temperature.

7th grade math help me please :)

Answers

Answer: 33

Step-by-step explanation:

a + b/c = 24 + 36/4 = 24 + 9 = 33

Answer:

33

Step-by-step explanation:

33 is the answer because when you have 24 + 36/4, 36 / 4 = 9, so the equation would become 24 + 9, and that's how you get 33

Find the slope of the line passing through the points (-3,7) and (2, -6).
Undefined

Answers

Answer:

think its x=3 hope it helps

Write in slope-intercept form.

Answers

It’s currently in point-slope form. To convert...

y-7=-3/4x-(15/4)
y=-3/4x-15/4+7
y=(-3/4)x+(13/4)

-6p - 20 = -2p +4(1 - 3p)

Answers

Answer:

6

2

0

=

2

+

4

(

1

3

)

6

2

0

=

2

+

4

(

3

+

1

)

2

Distribute

6

2

0

=

2

+

4

(

3

+

1

)

6

2

0

=

2

1

2

+

4

3

Combine like terms

6

2

0

=

2

1

2

+

4

6

2

0

=

1

4

+

4

4

Add

2

0

20

20

to both sides of the equation

6

2

0

=

1

4

+

4

6

2

0

+

2

0

=

1

4

+

4

+

2

0

5

Simplify

Add the numbers

Add the numbers

6

=

1

4

+

2

4

6

Add

1

4

14p

14p

to both sides of the equation

6

=

1

4

+

2

4

6

+

1

4

=

1

4

+

2

4

+

1

4

7

Simplify

Combine like terms

Combine like terms

8

=

2

4

8

Divide both sides of the equation by the same term

8

=

2

4

8

8

=

2

4

8

9

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=

3

Solution

=3

Step-by-step explanation:

please give me brainliest

What is the simplified form of 4 radical 3/2x

Answers

Answer:

The correct answer is ^4sqrt24x^3/2x or B on edge.

hope this helps!!:)

Step-by-step explanation:

There are 18 girls in a class.
If this is 40% of the class list, how many students are in the class?

Answers

Answer:

45 students

Step-by-step explanation:

40+40=80   40/2=20   80+20=100

18+18=36      18/2=9       36+9=45

horrible explaining but hope it helps :)

Answer:

45

Step-by-step explanation:

18 ÷ 45 = 0.4 = 40%

...........................

Answers

Answer:

3

Step-by-step explanation:

what is the sum of 9.72 × 108 and 1.93 × 107
a. 9.913 × 107
b. 9.913 × 108
c. 1.165 × 108
d. 1.165 × 109

Answers

Answer:

9.913 × 108

Step-by-step explanation:

omg these 3 questions - giving brainliest!!!!!

Answers

The common factor of the first is 16
For the second it is 65.52
And for the third it is 2.265

Answer:

1=1, 2, 4, 8,

2=65.52

3=2.265

Step-by-step explanation:

Jamari has a Rubiks Cube and the volume is 64 inches The length on one side is
(Blank) inches because (blank)

Answers

4 inches because 4 cubed is 64.

There are 48 students in Mrs. Mitra's computer class. At present, the ratio of the number of students to the number of computers in her class is 4 : 1. How many MORE computers does she need to buy to make this ratio 3 : 1?

A. 1 B. 3 C.3 D. 6

please give expiation also




 ​

Answers

Answer:

4

Step-by-step explanation:

The computation is shown below:

Given that

There are total number of students i.e. 48

The ratio at present is 4:1

Now the computer needed to make the ratio be 3:1

So let us assume the number of students be 4x

And, the number of computers be x

So the 4x = 48

x = 12

So the computer be 12

Now the new ratio is 3:1

Students be 3x

And, computers be x

So

3x = 48

x = 16

Now the more computer needed is

= 16 - 12

= 4

hence, this is the answer but the same is not provided in the given options

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

The present total number of students = 48

Ratio of the number of students to the number of computers = 4: 1

(Number of students) / (Number of computers) = 4/1

48 /  (Number of computers) =  4/1

Number of computers = 48/4

Number of computers = 12

If the ratio of the number of students to the number of computers = 3:1

48 / (Number of computers) = 3/1

3(Number of computers) = 48

Number of computers = 48/3

Number of computers = 16

Additional number of computers = 16 - 12

Additional number of computers = 4

Mrs. Mitra needs to buy 4 more computers to make the ratio 3: 1

Learn more here: https://brainly.com/question/20516142

I'll give brainliest to the correct answer!!!!


A.) 45.3 m

B.) 17 m

C.) 27.7 m

D.) 34 m

Answers

Answer:

C

Step-by-step explanation:

What is the area of the real object that the scale drawing models?
Scale factor: 13
Area =
40 square cm
Scale drawing
Object
A. 24 square cm
B. 120 square cm
C. 360 square cm
D. 40 square cm

Answers

Answer:

C. 360 cm²

Step-by-step explanation:

scale factor: 1:3

area = 3² times

40 x 9 = 360

Stuck on this test answer all four

Answers

Answer:

8.) u=12.37

16.) p=75

17.) m=52

18.) n=112

Step-by-step explanation:

u-2.07=10.3

u=12.37

5=p/15

p=75

m/26=2

m=52

n/16=7

n=112

PLEASE HELP WITH THIS MATH PROBLEM! :(

Answers

Answer:

angle A is 75:the four corners are 90 degrees so 75+15 is 90 and is looks like A is the same.

angle C is 55:180-125=55

Angle D is 90-15 so think its 75?

Step-by-step explanation:

im probably wrong but maybe not?

Find the x and y values? I'm not really sure how to get y but I can seem to get the x value.

Answers

Y is the same as the X value.

They are vertical angles which are congruent.

Because the lines are parallel, the 71 degree angle and the (5x-26) angle when added together need to equal 180 degrees.

SO you have 71 + 5x -26 = 180

Simplify:

5x + 45 = 180

Subtract 45 from both sides:

5x = 135

Divide both sides by 5:

x = 135 / 5

x = 27

Now you have x solve what that angle equals:

5x - 26 = 5(27) - 26 = 135 - 26 = 109 degrees

The angle Y and the angle 5x-26 are vertical angles, which mean they are the same,

so now we know 5x-26 = 109 degrees, so Y also equals 109 degrees.

The answers are:

x = 27

y = 109

A furnace operates at 2,300°F. Before it can be used to extract metal from an ore, the temperature must be raised to 3,600°F. This takes place at a rate of 250°F per quarter hour. Write an equation that gives the furnace temperature, T, after, q, quarter hours.

Answers

Answer:

T = 2300 + 250q

Step-by-step explanation:

Given that:

Initial temperature = 2300 F

Extraction temperature = 3600 F

Rate of temperature increase = 250 F per quarter hour, q

Temperature of furnace after q quarter hours ;

(Initial temperature + rate of temperature increase * number of quarter hours )

(2300 + 250 * q)

2300 + 250q

Phil has 50 nickels and dimes worth $4.15. Write a system of equations that could be used to determine the number of nickels and dimes that Phil has.​

Answers

Answer:

~~~~~~~~

Step-by-step explanation:

X + Y = 50. Subtract the first equation (X + Y = 50) from this one: Y = 33. Thus Phil has 33 dimes, and 17 nickels.

Given A(-2,8) and B(4,14), what is the y-intercept of the line AB?
A:-2
B:1
C:10
D:14

Answers

Answer: C:10

Step-by-step explanation:

Equation of a line passes through (a,b) and (c,d) :

[tex](y-b)=\dfrac{d-b}{c-a}(x-a)[/tex]

Equation of line passes through A(-2,8) and B(4,14) will be :

[tex]y-8=\dfrac{14-8}{4-(-2)}(x-(-2))\\\\\Rightarrow\ y-8= \dfrac{6}{6}(x+2)[/tex]

[tex]\Rightarrow\ y-8=x+2\\\\\Rightarrow\ y= x+2+8\\\\\Rightarrow\ y=x+10[/tex]

For y-intercept , put x= 0 , we get y= 10

So, the y-intercept = 10

Thus , correct option = C:10

what is this question?
10x – 8x + 2 + 10=

Answers

Answer:

x=-6

Step-by-step explanation:

So you can write this as 10x-8x+2+10=0

Now you have to solve this equation for x

2x+12=0

2x=-12

x=-6

alyze the following special produ
ve USII
1.
(3x + 5)(2x - 3). Solve using the F.O.I.L.
2.
(x + 2)(x – 13). Solve using the F.O.I.L.
3. (x + 5)2. Solve using the square of Binomial.
1. (x – 3)2 Solve using the square of Binomial.

Answers

Answer:

1) Solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) Solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

Step-by-step explanation:

1) (3x + 5)(2x - 3). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](3x + 5)(2x - 3)[/tex]

First: 3x(2x)

Outer: 3x(-3)

Inner: 5(2x)

Last: 5(-3)

Solving we get:

[tex](3x + 5)(2x - 3)\\=3x(2x)+3x(-3)+5(2x)+5(-3)\\=6x^2-9x+10x-15\\=6x^2+x-15[/tex]

So, solving the term [tex](3x + 5)(2x - 3)[/tex] using F.O.I.L we get [tex]\mathbf{6x^2+x-15}[/tex]

2) (x + 2)(x – 13). Solve using the F.O.I.L.

F.O.I.L stands for First, Outer Inner Last

We have [tex](x + 2)(x -13)[/tex]

First: x(x)

Outer: x(-13)

Inner: 2(x)

Last: 2(-13)

Solving we get:

[tex](x + 2)(x - 13)\\=x(x)+x(-13)+2(x)+2(-13)\\=x^2-13x+2x-26\\=x^2-11x-26[/tex]

So, solving the term [tex](x + 2)(x - 13)[/tex] using F.O.I.L we get [tex]\mathbf{x^2-11x-26}[/tex]

3) (x + 5)^2. Solve using the square of Binomial.

The square of binomial is: [tex](a+b)^2=a^2+2ab+b^2[/tex]

Solving:

[tex](x+5)^2\\=(x)^2+2(x)(5)+(5)^2\\=x^2+10x+25[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2+10x+25}[/tex]

4) (x -3)^2. Solve using the square of Binomial.

The square of binomial used is: [tex](a-b)^2=a^2-2ab+b^2[/tex]

Solving:

[tex](x-3)^2\\=(x)^2-2(x)(3)+(3)^2\\=x^2-6x+9[/tex]

So, solving [tex](x+5)^2[/tex] using square of binomial we get [tex]\mathbf{x^2-6x+9}[/tex]

What is 25% of 140?
O 14
O 30
0 35
O 40​

Answers

Answer:

35

Step-by-step explanation:

do 140 times .25 to get 35

Answer:

25% of 140 is 35

Step-by-step explanation:

Hope this helps!

Anna wants to add compatible numbers to find the following sum. 27.95 + 19.37 + 34.05 + 21.63 Which pairs of numbers are compatible? Choose Yes or No for each pair. 27.95 and 34.05 Choose.. 27.95 and 21.63 Choose... 19.37 and 34.05 Choose... 19.37 and 21.63 Choose...​

Answers

Answer:

27.95 and 34.05 are compatible because when you add up the decimals, the equal 0, which makes it easier to add. 27. 95 + 34.05 = 61.00.

Same with 19.37 and 21.63, it adds up to 40.00

The answer to all of this would be 101.00

plz help im confused on how this works. If a triangle has side lengths of 7.5 and 4.8, what is the range of lengths for the third side

Answers

Answer:

it is important to keep in mind that the interior of a triangle is 180º. Im not sure if the side your solving for is the longest or shortest one but the teo long side must be great than the third. dind the angles of the triangle that should help.

Step-by-step explanation:

What is the value for x?
Enter your answer in the box.

Answers

Answer:

5

Step-by-step explanation:

Remember, the sum of all the angles in a triangle equals 180 degrees.

Moreover, looking at the diagram, we can see sides BA and BC are identical. This means this triangle is an isosceles triangle. Remember, all isosceles triangles will also have two identical angles. In this case, angles A and C are identical (meaning A and C are both 73 degrees).

So, if A is 73 degrees, C is 73 degrees, and we know that all the angles must sum to 180 degrees (so A + B + C = 180), then we can construct the following equation to solve for x:

[tex]73+73+6x+4=180\\150+6x=180\\6x=180-150\\6x=30\\x=\frac{30}{6}\\x=5[/tex]

can someone help me please

Answers

13 i thin kaaks si s jd fj nojxiiubscnhubsuind

Answer: 54/4 or 13 2/4

Step-by-step explanation: So first you have to make both fractions into improper fractions. So 15(4)+3=63 over the denominator which is 4. And 2(4)+1=9 over the denominator which is 4. Then subtract the two fractions: 63/4-9/4, and since the two denominators are the same you keep it as 4. So the answer would be 54/4 or if you need it to be a mixed number, 13 2/4.

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