Edpuzzle pls helppp​

Correct question is;

The terminal side of angle θ intersects the unit circle in the first quadrant at (9/25,y). What are the exact values of sinθ and cosθ?

Answer:

sinθ = (√544)/25) and cosθ = 9/25

Step-by-step explanation:

We are given that (9/25,y) lies on the unit circle. Thus, from general representation of equation of a circle, we can write that;

(9/25)² + y² = 1²

y² = 1 - (9/25)²

y² = (625 - 81)/25²

y² = 544/25²

y = ±(√544)/25

We are told the point is in the first quadrant and so we will choose the positive value of y = (√544)/25.

Therefore, the terminal side of the angle θ intersects the unit circle at [9/25, (√544)/25)]

In unit circle geometry, cosθ = x, while sinθ = y.

Thus; sinθ = (√544)/25) and cosθ = 9/25

The exact value of [tex]sin\theta[/tex] and [tex]cos\theta[/tex] is  [tex]cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex] and this can be determined by forming the equation of circle.

Given :

The terminal side of angle [tex]\theta[/tex] intersect at unit circle ([tex]\frac{9}{25}, y[/tex]).

From general representation of equation of circle , we can write

[tex]x^{2} + y^{2} = a^{2}\\[/tex]

[tex](\frac{9^{2} }{25^{2} })[/tex] + [tex]y^{2} = 1^{2}[/tex]

[tex]y^{2} = 1 - \frac{81}{625}[/tex]

[tex]y^{2} = \frac{625-81}{625}[/tex]

[tex]y^{2}=\frac{544}{625}[/tex]

Taking square root both sides

[tex]y= \frac{\sqrt{544} }{\sqrt{625} }[/tex]

[tex]y = \frac{\sqrt{544} }{25}[/tex]

We are taking only because point  lies in first quadrant.

The terminal side of angel [tex]\theta[/tex] unit circle in first quadrant at [tex](\frac{9}{25} , \frac{\sqrt{544} }{25})[/tex]

In unit circle

[tex]x = cos\theta , y = sin\theta[/tex]

[tex]\rm cos\theta = \frac{9}{25} , sin\theta = \frac{\sqrt{544} }{25}[/tex].

For more information click on the link gives below

https://brainly.com/question/23841023

Answer:

Notebooks cost $4

Thumb drives cost $18

Step-by-step explanation:

x=$ for notebooks

y=$ for thumb drives

5x + 5y = 110 ----> for Troy

3x + 5y = 102 ----> for Lisa

Use subtraction to find x.

(5x + 5y = 110)

-(3x + 5y = 102)

_____________

2x + 0y = 8

2x = 8

x=4

Sub 4 for x into 5x + 5y = 110

20 + 5y = 110

-20 -20

___________

5y = 90

y=18

Notebooks cost $4

Thumb drives cost $18

Answer:

The answer is Offer 3 because it has the lowest total loan cost of the offers with a monthly payment in his budget

Answer: c, offer 3

Step-by-step explanation: just did the quiz

Complete question is;

Suppose we want to choose 5 colors, without replacement, from 16 distinct colors.

A) How many ways can this be done, if the order of the choices is taken into consideration?

B) How many ways can this be done, if the order of the choices is not taken into consideration?

Answer:

A) 524160 ways

B) 4368 ways

Step-by-step explanation:

A) If the order of choices is taken into consideration, then it is a Permutation problem.

Formula for Permutation is;

P(n, r) = n!/(n - r)!

In the question, n = 16 and r = 5

Thus;

P(16, 5) = 16!/(16 - 5)!

P(16, 5) = 524160

B) If the order of choices is not taken into consideration, then it becomes a Permutation problem.

Formula for Combination is;

C(n, r) = n!/((r! × (n - r)!)

C(16, 5) = 16!/((5! × (16 - 5)!)

C(16, 5) = 4368

Answer: The answer is 0.00065

Step-by-step explanation: Cuz I am good at math.

Answer:

the answer is 4k^2+9k+108

Step-by-step explanation:

Answer:

171

Step-by-step explanation:

When you say "the 2 is small" I think you mean it's an exponent so the equation would look like....

[tex]9(k+12) + 4k^{2}[/tex]

if k=3 we would replace all the k's with 3.

9(3+12) + 4(3)²

9(15) + 4(9)

135 + 36

171

So the answer would be 171

Hope that helps and have a great day!

Answer:

n = 70

Step-by-step explanation:

-8 + n = 62

      n = 70

Answer:

6x + 7

Step-by-step explanation:

Given parameters:

   Time Anna and Tamara leaves tonight  = 10x - 2

   Time Anna and Tamara leaves in the morning  = 4x - 9

Unknown:

An algebraic expression that represents the difference in time between leaving at night and leaving in the morning = ?

Solution:

The algebraic expression is given as:

    = (10x - 2) - (4x - 9)

    = 10x -2 -4x + 9

    = 10x -4x -2 + 9

    = 6x + 7

The algebraic expression for the time difference is 6x + 7

Answer:

(8,4)

(16,8)

Step-by-step explanation:

The table is given which shows the number of yellow tiles and red tiles.

The first row in the table shows that if there are 4 red tiles then there will be 2 yellow tiles. This relation can be defined as the number of red tile will always be double the amount of number of yellows tiles. Carter graphs this point as (4,2) where number of red tiles are plotted on x axis and number of yellow tile are plotted on y axis.

Consider the second row of the table. Number of red tiles is 8 while number of yellow tiles is 4, so the point he plots on the graph is (8,4)

Similarly, other points are (12,6) and (16,8)

Answer:

x ≤ 2

Step-by-step explanation:

-3x+12≥6

-3x≥6

3x≤6

x ≤ 2

Answer:

x ≤ 2 is the correct answer!

Step-by-step explanation:

Hope this helps!

Answer:

x≥3

Step-by-step explanation:

Answer: -2, 0, 1, 3

Step-by-step explanation:

when you multiply -7 and -6 by -5 than add 5 you get a higher number than 25.

when you multiply -2, 0, 1 And 3 by -5 than add 5 you get a lower number than 25.

Answer:

y=2x+15

Step-by-step explanation:

just count from (-1,8) to get y intercept

Answer:

936,000

Step-by-step explanation:

936,292 rounded to the nearest 1,000 is 936,000 as 292 is less than 500, you have to round down, to get 936,000.

Answer:

10:14

15:21

20:28

Step-by-step explanation:

Answer:

3.759*10^7

Step-by-step explanation:

Answer:

-50/9 is the answer i think

Answer:

The constant of proportionality is 2 it is y=2x

Step-by-step explanation:

Each time the number goes up it goes up by two i hope this helps have a nice day

Answer:

D

the square root of 1000 is 31.6227766017

Step-by-step explanation:

BRANIEST

Answer: -24/5

3 3/5*(-8 1/3)=-24/5

Answer:

A

Step-by-step explanation:

is there a need for explanation

Answer:

29

Step-by-step explanation:

Given the expression [tex]75_8 = 23_x[/tex] where x is the unknown base:

[tex]75_8 = 23_x\\7\times8^1 +5\times8^0 = 2\times x^1+3 \times x^0\\56+5 = 2x+3\\61 = 2x+3\\2x = 61-3\\2x = 58\\x = 58/2\\x = 29[/tex]

Hence the missing base is 29

Answer:

Step-by-step explanation:

9.3827156E17 the awnser

Answer:

pop smoke ting go skrdraaaa pop. po pop pop popskibbydo pop pah

Answer:

64 different black jack hands

Step-by-step explanation:

there are 4 aces in a deck, and you can score a blackjack if any of these 4 aces is paired with any of the 16 different cards that are worth 10 points. Total number of different blackjack combinations = 4 aces x 16 different tens = 64.

Even though the number of possible blackjack hands might seem large, the possibilities of actually getting one are really low:

possibility of getting 1 ace = 4/52 = 1/13

possibility of getting 1 ten = 16/51

possibility of getting a blackjack = 16 / 663

if you start with the 10 first the odds are the same:

possibility of getting 1 ten = 16/52 = 4/13

possibility of getting 1 ace = 4/51

possibility of getting a blackjack = 16 / 663

Answer:

[tex]y=\frac{c}{b}-\frac{ax}{b}[/tex]

Step-by-step explanation:

[tex]ax+by=c\\ax+by-ax=c-ax\\by=c-ax\\by/b=(c-ax)/b\\y=\frac{c-ax}{b} \\y=\frac{c}{b}-\frac{ax}{b}[/tex]

Answer: if none of the input values are repeated the real action is a function

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

If none of the input values are repeated, the relation is a function.

i dont know how to explain but edge 2020/2021

Answer:1/4

Step-by-step explanation: