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Answers

Answer 1

Answer:

8

Step-by-step explanation:


Related Questions

What is the relation between the sine and cosine values of angles in each quadrant? How would you use the 60° angle to find sine and cosine of 120°, 240°, and 300°? What angles could we find sine and cosine for using information for π/4 and π/6?

Answers

The angles, 60°, [tex]\displaystyle \frac{\pi}{4}[/tex] and [tex]\displaystyle \frac{\pi}{6}[/tex] are special angles that have known trigonometric ratio values.

First part;

The sine and cosine gives the coordinates of the tip of the radius of a unit circle as it rotates P(cos(θ), sin(θ))

Second part;

With the knowledge of the sine and cosine of 60°, we have; sin(60°) = sin(120°), sin(240°) = -sin(60°), sin(300°) = -sin(60°)cos(120°) = -cos(60°), cos(240°) = -cos(60°), cos(300°) =  cos(60°)  

Third part;

[tex]\displaystyle \frac{\pi}{4}[/tex] can be used to find the sine and cosine of [tex]\displaystyle \frac{3 \cdot \pi}{4}[/tex], [tex]\displaystyle \frac{5 \cdot \pi}{4}[/tex], and [tex]\displaystyle \frac{7 \cdot \pi}{4}[/tex]  [tex]\displaystyle \frac{\pi}{6}[/tex], can be used to find the sine and cosine of [tex]\displaystyle \frac{5 \cdot \pi}{6}[/tex], [tex]\displaystyle \frac{7 \cdot \pi}{6}[/tex], and [tex]\displaystyle \frac{11 \cdot \pi}{6}[/tex]

Reasons:

First Part;

Considering a unit circle with the center at the origin of the graph, we have;

The sine of the angle, θ, rotated by the radius is the vertical distance of a point P on the circle which is the location of the radius, from the horizontal axis.

The cosine of the angle, θ, is the horizontal distance of P from the vertical axis, such that we have;

The coordinates of point P = (cos(θ), sin(θ))

In the four quadrant, we have;

First Quadrant; All trigonometric ratios are positive

Second Quadrant; sine is positive

Third Quadrant; Tan is positive

Fourth Quadrant; Cosine is positive

Second part;

We have; At 120°, the point P is the same elevation from the horizontal axis, therefore;

sin(60°) = sin(120°) = 0.5·√3

However, the x-coordinate of the point P is in the negative direction, therefore, we get;

cos(120°) = -cos(60°) = -0.5

Similarly from the quadrant relationship, we have;

240° is in the third quadrant, and it is 60° below the negative horizontal line, therefore;

sin(240°) = -sin(60°) = -0.5·√3

cos(240°) = -cos(60°) = -0.5

300° is in the fourth quadrant, and it is 60° below the positive x-axis, therefore;

sin(300°) is negative and cos(300°) is positive

Which gives;

sin(300°) = -sin(60°) =  -0.5·√3

cos(300°) =  cos(60°) = 0.5

Third part;

[tex]\displaystyle \frac{\pi}{4} =45^{\circ}[/tex]

[tex]\displaystyle \frac{\pi}{6} =30^{\circ}[/tex]

The sine and cosine of 45° can be used to find the sine and cosine of (180° + 45°) = 225°, (360° - 45°) = 315°

Also, due to the mid location of the angle 45° on the quadrant, we have;

Another angles is the sines and cosine of (90° + 45°) = 135°

Therefore, [tex]\displaystyle \frac{\pi}{4}[/tex], can be used to find the sine and cosine of 135°, 225°, and 315°

[tex]\displaystyle 135^{\circ} = \mathbf{\frac{3 \cdot \pi}{4}}[/tex], [tex]\displaystyle 225^{\circ} = \frac{5 \cdot \pi}{4}[/tex], [tex]\displaystyle 315^{\circ} = \frac{7 \cdot \pi}{4}[/tex]

Therefore,

[tex]\displaystyle \frac{\pi}{4}[/tex] can be used to find the sine and cosine of [tex]\displaystyle \mathbf{\frac{3 \cdot \pi}{4}}[/tex], [tex]\displaystyle \mathbf{\frac{5 \cdot \pi}{4}}[/tex], and [tex]\displaystyle \mathbf{ \frac{7 \cdot \pi}{4}}[/tex]

Similarly, the sine and cosine of, [tex]\displaystyle \frac{\pi}{6}[/tex]  = 30° can be used to find the sine and cosine of 150°,  210°, and 330°.

[tex]\displaystyle 150^{\circ} = \frac{5 \cdot \pi}{6}[/tex], [tex]\displaystyle 210^{\circ} = \frac{7 \cdot \pi}{6}[/tex], and [tex]\displaystyle 330^{\circ} = \frac{11 \cdot \pi}{6}[/tex]

[tex]\displaystyle \frac{\pi}{6}[/tex], can be used to find the sine and cosine of [tex]\displaystyle \mathbf{ \frac{5 \cdot \pi}{6}}[/tex], [tex]\displaystyle \mathbf{ \frac{7 \cdot \pi}{6}}[/tex], and [tex]\displaystyle \mathbf{\frac{11 \cdot \pi}{6}}[/tex]

Learn more about the sine and cosine of angles here:

https://brainly.com/question/4372174

Answer:

Step-by-step explanation:

The cosine value of an angle is the x coordinate of the point the angle corresponds to on the unit circle, and the sine value of an angle is the y coordinate of that point. 120, 240, and 300 all form 60 degree reference angles which in turn forms 30-60-90 triangles which help to find the sine and cosine of these corresponding angles. Pi/4 radians converts to 45 degrees which forms a 45-45-90 special triangle on the unit circle which has its own known trigonometric ratio. Pi/6 radians converts to 30 degrees which forms a 30-60-90 triangle on the unit circle which also has a known trigonometric ratio. These ratios help find the sine and cosine of the angles on the unit circle which corresponds to a point on the coordinate plane.

Which equation represents a proportional relationship?
y = 40 +1
y = 2 + 4
y = -4

Answers

B. y = 2 + 4
mark brainleist

if powerades are $2.50 and nachos are $3 there was 38 items sold and the total price was $102.50 how many powerades and nachos were sold

Answers

Answer:

15 Nachos and 23 Powerades were sold.

Brainliest is appreciated. (The crown)

5y-8(5y+2)=-(25y+46)​

Answers

5y-8(5y+2)=-(25y+46)
Multiply so there are no parentheses
5y-40y+16=-25y-46
Add 40y to both sides
5y+16=15y-46
Add 46 to both sides
5y+62=15y
Subtract 5y from both sides
62=10y
Divide both sides by 10
6.2=y

What is the slope of the line that passes through the pair of points?
(-7,8), (-4, 20)
0 -4
0.25
0.33

Answers

Answer:

4

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(20-8)/(-4-(-7))

m=12/(-4+7)

m=12/3

m=4

Find the slope of the line passing through the points (-3, 3) and (5, 9).

Answers

Answer:

Step-by-step explanation:

9-3/5- -3=  slope= 6/8 or 3/4

The Kim family just bought 7 crates of eggs, and each crate had 12 eggs. The family already had 9 eggs in their refrigerator. How many eggs do they have now?

Answers

Find the number of eggs in 7 crates:

1 crate = 12 eggs

7 crates = 12 x 7 = 84 eggs

Add the 8 eggs in their fridge:

84 + 8 = 92 eggs

Answer:

93

Step-by-step explanation:

7*12=84

84+9=93

Palawbhehrht awnser yes or mo

Answers

Answer:

yes

Step-by-step explanation:

Please solve this math problem... I will mark you brainliest if it’s the correct answer

Answers

Answer:

1712 square meters

Step-by-step explanation:

2000 - 288 = 1712

2000 - 228 = 1772 so the answer is 1772

Please help it’s multiple choice! No links

Answers

Answer:

Option A, B, and D are true.

Explanation:

A coefficient is the number that is being multiplied by a variable. For example, in 7b, 7 would be the coefficient.

Terms are the numbers used in the equation. For example, in 3 + 2, 3 and 2 would be the terms.

3n and 5m are not coefficients as there are variables included. 3n and 5m are examples of a variable.

A constant is a number that is not multiplied by a variable. For example, in 8x + 3 + 2b, 3 would be the constant.

Hope this helped :)

(PLS HELP) The proportional relationship between the number of inches a candle has burned away, b, at any time in hours, t, can be represented by the equation b=1.75t. At what rate does the candle burn, in inches per hour?

Answers

Answer:

candle burns 1 inch every 1 3/4 hours or 1 inch every 1 hour, 45 minutes

Step-by-step explanation:

Help please !!!!!!!!!!

Answers

Answer:

35.5225685536425675555

Answer:

67 and 82

Step-by-step explanation:

The values of Y are increasing by 15 everytime, so to find the fourth value we do 52+15 which equals to 67 and then to find the fifth value we do 67+15 which equals to 82. Hope this helps.

Why are there certain question where you multiply to a power and some you don't. Like tree diagrams. This is for probability of compound events.

Answers

Compound probabilities that required AND use multiplication

How to determine the reason?

The probability of compound events is of two types

The one that require ANDThe one that require OR

As a general rule, the AND probability require products

Take for instance

P(A and B) = P(A) and P(B)

This gives

P(A and B) = P(A) *  P(B)

So, compound probabilities that required AND use multiplication

Read more about compound probabilities at:

https://brainly.com/question/1553768

#SPJ1

Michaels test scores for this semester were 83,80,91,74,66,99,87,72,95,98. What was the median of his scores

Answers

Answer:

85

Step-by-step explanation:

Write the numbers in order

66, 72, 74, 80, 83, 87, 91, 95, 98, 99

Find the middle number

83 and 87 are in the middle, so find the mean of them. 83+87= 170

170/2 = 85.

Answer:

I added a little extra in case! Mark me brainleast

Step-by-step explanation:

Mean          84.5

Median           85

Mode         83, 80, 91, 74, 66, 99, 87, 72, 95, 98.

Range         33

Minimum         66

Maximum 99

HELLPPP
I need help asappp

Answers

Answer:

(8,5)

Step-by-step explanation:

x=8

5*8-2y=30

40-2y=30 .      subtract 40 from both sides

-2y=-10 .           divide both sides by-2

y=5

what is the domain and range of {(3, 6, (5, 7), (7, 7), (8, 9)} ?

Answers

Answer:

So, the domain is {3, 5, 7, 8}
So, the range is {6,7,7}

Explanation:

The domain is all the x-coordinates and the range is all the y-coordinates in any given point in the form (x, y).

Find the future value of an annuity due of $7,000 paid at the beginning of each 6-month period for 8 years if the interest rate is 8%, compounded semiannually. (Round your answer to the nearest cent.)

Answers

Answer: Im not sure but i think its 120,960

Step-by-step explanation: i know that there is 2 of the 6-month periods in a year and multiplied that by 8 and got 16. Then i did 7000x.08=560 and then i added that to 7000 and got 7560. FInally i multiplied that by 16 and got 120,960.

I NEED HELP WITH MATH PLEASEEE??!

Answers

Answer:

  y = -x +2

Step-by-step explanation:

The slope can be found from the slope formula:

  m = (y2 -y1)/(x2 -x1)

  m = (6 -5)/(-4 -(-3)) = 1/-1 = -1

The y-intercept can be found from ...

  b = y -mx

  b = 5 -(-1)(-3) = 2

The slope-intercept equation for the line is ...

  y = mx +b

  y = -x +2 . . . . use the values of m and b we found

There are 24 female performers in a dance recital. The ratio of men to women is 3:8. How many men are in the dance recital? There are men in the dance recital.

Answers

Answer:

9 men

Step-by-step explanation:

men: women : total

3          8            3+8

3          8               11

There are 24 women

24/8 = 3

Multiply each term by 3

men: women : total

3*3      8*3         11*3

9           24         33

There are 9 men at the recital

24:x
8:3

8x = 24(3)
8x = 72
x = 9
there are 9 men

5x+3y=17 x+y=4 substitution

Answers

Group the xs and the ys, 17+5= 22x 3+1=4y so y=4 and x=22.

Richard's living room is 8 yards wide and 8 yards long. He wants to install pink carpet that costs $1.00 per square yard. How much will it cost to buy enough carpet for the living room?

Answers

Answer:

$64.00

Step-by-step explanation:

8x8=64 (64 yards)

64x1=64

It would cost 64 dollars to buy enough carpet for the living room.

2x + 3 for x=3
PLEASE I NEED A ANSWER

Answers

Answer:

9

Step-by-step explanation:

2 times 3 = 6

6+3=9

Jenna works a job where her pay varies directly with the number of hours she has worked. In one week, she worked 35 hours and made $274.75. How many hours would she need to work in order to earn $337.55?

Answers

274.75/35= $7.85 per hour
337.55/7.85= 43 hours

If x = 4 and y = -2, the value of 1/2 xy2 is

Answers

Answer:

8

Step-by-step explanation:

Substitute the given values into the expression

[tex]\frac{1}{2}[/tex] xy²

= [tex]\frac{1}{2}[/tex] × 4 × (- 2)²

= 2 × 4

= 8

Which of the following are solutions to the equation below?
Check all that apply.
(5x + 1)2 = 7
O A. x =
7-1
5
B. X=--
V6
5
O c. x=
x=
- 1
D. x=
67| ఈ
E. X=
-7
-1
5
OF. x=
-V7-1
5

Answers

A and C could be the answer

How do you do this? Someone please answer quick

Answers

Answer:

b=a^2-6

Step-by-step explanation:

Answer:

square both sides, you will get

[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]

Step-by-step explanation:

square both sides, you will get

[tex]a^{2} = b + 6\\b = a^{2} - 6[/tex]

Annika sells 6-inch pies for $5.00 and 8-inch pies for $9.00 each. Last week she sold twice as many 6 inch pies as she did 8-inch pies. She made $133.00 from her sales. Annika defined x as the number of 6 inch pies she sold and y as the number of 8-inch pies she sold. She wrote the system below.

6 x + 8 y = 133. 2 x = y.

Which statements about the system are true? Check all that apply.

1. Since the cost for each pie is $5 and $9, the first equation should be 5 x + 9 y = 133.

2. Since the 8-inch pies are 2 inches larger, the second equation should be x + 2 = y.
Since there are fewer 8-inch pies, the second equation should be x = 2 y to balance the values.

3. The first equation is correct because 6x represents the money earned for 6-inch pies and 8y represents the money earned for 8-inch pies.

Answers

Answer:

The number 3 is more accurate

Answer:

Since the cost for each pie is $5 and $9, the first equation should be 5x+9y=133

Since there are fewer 8-inch pies, the second equation should be x=2y to balance the values.

Step-by-step explanation:

What is the difference between the yearly wages of the highest paying job and lowest paying job, assuming Araceli will be paid for working 40 hours a week, 52 weeks a year

Answers

Answer:

Is there a picture?? I need a picture

Step-by-step explanation:

Identify the horizontal asymptote of f(x) =4x/7
y = 0
y = 2/3
y=1
No horizontal asymptote

Answers

Answer:

y = 1

Step-by-step explanation:

To find the Horizontal Asymptote, you have to look at the degree of the numerator and denominator.

[tex]h(x) = \frac{x^n}{x^m}[/tex]

If n < m, then y = 0If n = m, y = coefficient of [tex]x^n[/tex] divided by the coefficient of [tex]x^m[/tex]If n > m, then there is no Horizontal Asymptote

HELP ME PLEASEEEEEEEEEEEEEEEEEEEEEEEEE!!!

Answers

Answer:

Step-by-step explanation:

from the given information, I would say they are all false since congruent means they are identical in form, whereas these are similar parrellelograms since potentially if you upscaled one it would be close to the other

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