Use the half-angle formulas to find the exact value of the trigonometric function sin 15°

Answers

Answer 1

Answer:

sin 15° = 0.2588

Step-by-step explanation:

The half angle formula is:

[tex]\sin{(\frac{x}{2})} = \pm \sqrt{\frac{1 - \cos{x}}{2}}[/tex]

sin 15°

The double of 15º is 30º. First quadrant, so the sine is positive.

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}}[/tex]

Since [tex]\cos{30} = 0.866[/tex]

[tex]\sin{15} = sqrt{\frac{1 - \cos{30}}{2}} = \sqrt{\frac{1 - 0.866}{2}} = 0.2588[/tex]

sin 15° = 0.2588


Related Questions

une boxes.
Find:
5% of 90 m =
m
25% of 88 kg =
kg
75% of 264 =

Answers

Answer:

1) 5% of 90m= 4.5m

2)25% of 88kg = 22kg

3) 75% of 264= 198

Step-by-step explanation:

1) 90m = 100% (divide by 10)

9 = 10% (divide by 2)

4.5 = 5%

2) 88kg = 100% (keep on dividing by 2)

44kg = 50%

22kg=25%

3) 264 = 100%

132 = 50%

66 = 25% (add)

198=75%

If the point (-1,2) lies on the graph of y=f(x), then a point on the graph of y=-2f(x)+5

Answers

Answer:

(-1, 1)

Step-by-step explanation:

Multiply f(x) or y value by -2, so (-1, 2) -> (-1, -4)

Add 5 to the f(x) or y value since it is a vertical translation, so (-1, -4) -> (-1, 1)

5. Solve for the hypotenuse of the 45-45-90 triangle.
1 point
45°
9
и

Answers

Answer:

Step-by-step explanation:

u = 9√2

Answer:

[tex]9\sqrt{2}[/tex]

Step-by-step explanation:

Hello There!

The hypotenuse of a 45-45-90 triangle is equal to x[tex]\sqrt{2}[/tex] (in this case 9)

so u would equal [tex]9\sqrt{2}[/tex]

If triangle ABC is similar to triangle PQR, find the value of x and y.

Answers

Answer:

x = 9

y = 6

Step-by-step explanation:

ΔABC ~ ΔPQR

Therefore, corresponding sides of these similar triangles will be in the proportional.

[tex]\frac{AB}{PQ}=\frac{BC}{QR}= \frac{AC}{PR}[/tex]

[tex]\frac{6}{x}= \frac{4}{y}= \frac{8}{12}[/tex]

[tex]\frac{6}{x}= \frac{8}{12}[/tex]

x = [tex]\frac{12\times 6}{8}[/tex]

x = 9

Similarly, [tex]\frac{4}{y}= \frac{8}{12}[/tex]

y = [tex]\frac{12\times 4}{8}[/tex]

y = 6

Insert 4 geometric means between 6
and 92​

Answers

Answer:

6    23.2    40.4     57.6    74.8      92

Step-by-step explanation:

92-6 = 86

86/5 spaces = 17.2 each

Someone please help me answer this

Answers

Answer:

2^10

Step-by-step explanation:

When multipying indices, if the base is the same then just add the indices.

select the proper order from least to gretest for 2/3, 7/6, 1/8, 9/10.

Answers

Answer:

1/8, 2/3, 9/10, 7/6

Step-by-step explanation:

1/8=0.125

2/3= 0.666

9/10=0.9

7/6 is more than 1

5x + 2 = 1 + 3x +1 + 2x
a) 7
b) 8
c) infinite solutions
d) no solution

i gotta have a few wrong so could someone pls make it look like you tried to solve the problem but got it wrong? sorry if i dont make sense

Answers

The answer is infinite solutions but chose no solution (that’s the wrong one)

My little cousin took a STAR math test and she wanted to know if her score is good she got a 923 score on her STAR math test and she is in 8th grade did she do good or? She was really curious and wanted me to answer this question lol

Answers

I guesse she did pretty good lol :D

2(x + 3)=x - 4
help me ​

Answers

Answer:

x = -10

Step-by-step explanation:

2(x+3) = x-4 --> multiply (x+2) times 2

2x+6 = x - 4 --> subtract x from both sides

x+6 = -4 --> subtract 6 from both sides

x = -10

Answer:

x = -10

Step-by-step explanation:

Simplify both sides of the equation.

2 (x+3) = x − 4

(2) (x) + (2) (3) = x + −4 (Distribute)

2x + 6 = x + − 4

2x + 6 = x − 4

Subtract x (1x) from both sides

2x + 6 − x = x − 4 − x

x + 6 = − 4

Subtract 6 from both sides

x + 6 − 6 = − 4 − 6

x = -10

I will get the belt if I get this wrong pls don't be a bs person

The skeletal system is composed of bones, cartilage, and joints. Our skeletal system has many functions. Choose three of these functions, explain their importance, and provide an example

Answers

Answer:

one is for structure, two is for being able to move around, and three is to cover joints or sum like that

Step-by-step explanation:

Answer:

idc if u get the belt, that's what u get anyway, LOL GET RICKROLLED!!

Step-by-step explanation:

Which relationships describe angles 1 and 2?
Select each correct answer.​

Answers

Answer:

3

Step-by-step explanation:

Aj jar of sweets contains 5 yellow sweets, 4 red sweets, 8 green sweets 4 orange sweets and 3 white sweets.
Ola chooses a sweet at random .what is the probability that she pick either a yellow or orange sweet ?​

Answers

Answer:

[tex]\frac{9}{24}[/tex]

Step-by-step explanation:

Add all the sweets together ( that will be your denominator )

5+4+8+4+3= 24

The probability she will pick and yellow and orange ( add those numbers together)

Yellow + orange = Numerator

5+4=9

How you answer should be lay out :

[tex]\frac{Orange+ yellow sweets}{Total amount of sweets}[/tex]

Answer:

9/24

Step-by-step explanation:

add the sweets (for denominator) 5+4+8+4+3 =24 then add yellow +  orange (which is 9)

Find the nth term of the following arithmetic sequence.
f(1) = -7, d=3, n = 17

Answers

Answer:

f(n)=17+3(n-1)

f(17)=65

Step-by-step explanation:

arithmetic  sequences are in form:

f(n)=f(o)+d(n-1)

f(1)=17=f(0)

f(n)=17+3(n-1)

f(17)=17+3(16)=65

‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

Answers

Answer:

20% shaded. 1/5 in simplist form

Divide using long division.
8x3 - 18x2 + 21x - 20 = 2x - 3

Answers

Answer:

[tex] \frac{29}{19} [/tex]

Step-by-step explanation:

Hopefully that is correcr

A partially completed equation for a line is shown below. If the line passes through the point (-4, 6). Write the equation for the line.

y=-3x+by=−3x+b

Answers

Answer:

Nice

Step-by-step explanation:

Karma..... ;)

Nice hope this helps


The weight of the load varies
directly with the number of boxes
in the load. A load of 18 boxes
weighs 600 lbs. What does a load
of 12 boxes weigh?

Answers

The weight varies directly with the number of boxes, so this means every box weighs the same amount.

Find the weight of a box by dividing the known weight by the number of boxes:

600 pounds / 16 boxes = 37.5 pounds per box.

Now multiply the weight per box by the number of boxes:

37.5 pounds x 12 boxes = 450 pounds

12 boxes weigh 450 pounds

Find the distance between (3,1) and (0,1).
A)
1 square 3
B)
1
C)
2
D)
3

Answers

Don’t want follow the link trust me

The distance between (3,1) and (0,1) is 2. So option C is the right answer. The distance can be calculated by using formula Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Given two points are (3,1) and (0,1)

What is the formula for distance when two points are given?

Distance= Sq.root (x2-x1)^2+(y2-y1)^2)

Here x2=1, x1=3, y2=1, y1=0

Distance=Root (1-3)^2+(1-1)^2

=sq.Root(4)

The root of 4 is 2

=2

Therefore distance between (3,1) and (0,1) is 2

To learn more about distance between two points click here: https://brainly.com/question/16319826

#SPJ2

7 times b reduced by the square of c?

Answers

Answer:

7b-c²

Step-by-step explanation:

7times b is 7b reduced by the square of c means minus c²

which of the following equations does the graph show below pls help l give u the branliest answer or wtvr

Answers

Answer:

x - 5y = 5

Step-by-step explanation:

Let's represent the equation of the graph in slope-intercept form, y = mx + b.

We'd need to find slope (m) and y-intercept (b) of the graph.

Slope (m) = ∆y/∆x

Using two points on the line, (0, -1) and (5, 0),

Slope (m) = (0 - (-1)) / (5 - 0) = 1/5

m = ⅕

y-intercept (b) is the point on the y-axis where the line intercepts the y-axis = -1

Therefore, b = -1

To write the equation, substitute m = ⅕ and b = -1 into y = mx + b

Thus:

y = ⅕(x) + (-1)

y = ⅕(x) - 1

Rewrite in standard form:

-⅕x + y = -1

Multiply both sides by -5

-⅕x*-5 + y*-5 = -1*-5

x - 5y = 5

The weston family spends a maximum of $50.00 per month on entertainment. Write and graph an inequality to represent this.​

Answers

Answer:

Step-by-step explanation:no more than

Are the triangles congruent

Answers

Answer:

Yes

Step-by-step explanation:

Rule AAA defines these two triangles as congruent.

Gabriella is drawing a diagram of a ramp for science class part of the diagram Is shown.

Answers

answer is 30°

50-20=30°

hope it helps

The number of people who like a particular video online triples every day after the day the video is posted. If 15 people like the video on the day it is posted, which inequality can be used to find the number of days, t , it takes for the number of people who have liked the video to reach more than 3,000?

Answers

Answer:

[tex]t > 5[/tex]

Step-by-step explanation:

Given

[tex]a = 15[/tex] ---- Initial

[tex]r = 3[/tex] --- rate

Required

The inequality that represents people more than 3000

The given parameters show a geometric sequence and will be calculated using:

[tex]T_t = ar^{t-1[/tex]

Where t is the number of days

For the people to be more than 3000, the expression becomes:

[tex]ar^{t-1} > 3000[/tex]

Substitute values for a and r

[tex]15 * 3^{t-1} > 3000[/tex]

Divide both sides by 15

[tex]3^{t-1} > 200[/tex]

Take log of both sides

[tex]Log3^{t-1} > Log200[/tex]

Apply law of logarithm

[tex](t-1)Log3 > Log200[/tex]

Make t - 1 the subject

[tex]t - 1 > \frac{Log200}{Log3}[/tex]

[tex]t - 1 > 4.82[/tex]

Add 1 to both sides

[tex]t - 1 +1> 4.82 +1[/tex]

[tex]t > 5.82[/tex]

Round down

[tex]t > 5[/tex]

The graph shows the relationship between the distance a car is driven and the number of gallons of gasoline used. Identify the value in d in the point (1, d). What does that point represent?

A. d=25; the unit rate is 25 miles per gallon
B. d=25; the unit rate is 25 gallons per mile
C. d=50; the unit rate is 50 miles per gallon
D. d=50; the unit rate is 50 gallons per mile

Answers

Answer:

A. d = 25; the unit rate is 25 miles per gallon

Step-by-step explanation:

The point (1, d) on the graph represents (x, y), where,

x = gasoline used = 1 gallon

y = distance = d = 25 miles

That is, (1, d) represents when x = 1, y = 25.

Thus, (1, 25) is the unit rate which is 25miles per gallon.

Write a positive or negative integer that represents the situation.

The temperature falls 14 degrees.

An integer that represents the situation is what?

Answers

Answer:

im not sure sorry! lol

Step-by-step explanation:

sorry!

help!!! 50 points!!! plleasses

Answers

Answer:

4 times, he bought dinner 4 times

Step-by-step explanation:

if kevin get paid for 3 hours, then you would multiply $14 by 3. you would end up with $42, then the weekly allowance is $21. then by adding $21 to the $42 we have you would get $63. then a bus ride costs $2.50 and since he rode it 6 times you would multiply $2.50 by 6, which would equal $15. Then subtracting $15 from the $63, you would end up with $48, and then by dividing the total amount for the dinner each time bought, so $12/$48 would equal to 4 times.

Sally has 15 quarts of milk. One quart is equal to 1 4 of a gallon. How many gallons of
milk does Sally have?
A 3 3/4
B 4 1/4
C 15
D 60

Answers

Answer:

A- 3 3/4

Step-by-step explanation:

15*1/4= 3 3/4......

Find the length of the third side. If necessary, round to the nearest tenth.
24
14

Answers

Answer:

The answer is 19.49

Step-by-step explanation:

Hope this help you

Answer:

19.5

Step-by-step explanation:

19.49= 19.5

because of the nearest tenth

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