Answers
Answer:
The answer is C. [tex]\frac{\sqrt{6} + \sqrt{2} }{4}[/tex]
Step-by-step explanation:
The value of cos(15°) is (√(6) + √(2))/4.
The correct option is C.
What is half-angle formula?The half-angle formula is a trigonometric identity that relates the trigonometric functions of half of an angle to the trigonometric functions of the original angle.
Using half-angle formula for cosine
cos(x/2) = √((1 + cos(x))/2)
In this case, x = 30°, so we have:
cos(15°/2) = √((1 + cos(30°))/2)
cos(15°/2) = √((1 + √(3)/2)/2)
Now, rationalize the denominator:
cos(15°/2) = √((2 + √(3))/4)
cos(15°/2) = √((1/2 + √(3)/4))
Finally, we factor the numerator by multiplying it by (√(2) + √(6))/(√(2) + √(6)):
cos(15°/2) = (√(2) + √(6))/(2√(2))
cos(15°) = (√(2) + sqrt(6))/(2√(2))
By rationalizing the denominator further, we get:
cos(15°) = (√(2) + √(6))/(2√(2)) (√(2)/sqrt(2))
cos(15°) = (√(2)√(2) + √(6)√(2))/(2√(2)√(2))
cos(15°) = (2 + √(12))/(2 x 2)
cos(15°) = (2 + 2√(3))/(4)
cos(15°) = (√(6) + √(2))/4
Therefore, the value of cos(15°) is (√(6) + √(2))/4.
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Related Questions
how to solve trial and error method i) y + 6 = 11
Answers
2.) 11 minus 6 is 5
3). this leaves you with y = 5
4. Write the equation of a line that passes through the point (-8, 2) and is parallel to the
line 3x – 2y = 12.
Answers
Answer:
3x - 2y = - 28
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Given
3x - 2y = 12 ( subtract 3x from both sides )
- 2y = - 3x + 12 ( divide all terms by - 2 )
y = [tex]\frac{3}{2}[/tex] x - 6 ← in slope- intercept form
with slope m = [tex]\frac{3}{2}[/tex]
Parallel lines have equal slopes, thus
y = [tex]\frac{3}{2}[/tex] x + c ← is the partial equation
To find c substitute (- 8, 2) into the partial equation
2 = - 12 + c ⇒ c = 2 + 12 = 14
y = [tex]\frac{3}{2}[/tex] x + 14 ← equation in slope- intercept form
Multiply through by 2
2y = 3x + 28 ( subtract 2y from both sides )
0 = 3x - 2y + 28 ( subtract 28 from both sides )
- 28 = 3x - 2y , that is
3x - 2y = - 28 ← equation in standard form
HELP ME PLS ITS 3AM IM TIRED // geometry HL AND CPCTC
Answers
Answer:
b
Step-by-step explanation:
angle b = angle e = 90 (given) R
if ac = df H
bc = ef (given) S
Total bill of four pairs of shoes came to $69.25 what is the average price for each pair of shoes
Answers
Answer:
Each pair is $17.31 average
Step-by-step explanation:
All you do is divide $69.25 by 4
Answer:17 or 18....17.31 that's what it gave me but if you rounded to the nearest number that could be your answer
Step-by-step explanation:
19 is 50% of what number? round to the nearest tenth
Answers
Answer:
38... 19 doubled thats it
Answer:
38
Step-by-step explanation:
Rounded to the nearest tenth is 40
Which table represents a linear function?
answers are in the picture plz help im timed
Answers
Answer: first table
Step-by-step explanation: go with the first one
What would be the best first step in solving 0.05x + 0.01 = 0.025? Explain.
Answers
Answer:
Step-by-step explanation:
it would be to subract 0.01 from 0.025 because you want to get the x by itself
help me please
Solve for x and y
Answers
Answer:
ouch math keeps getting harder and harder every time!
Step-by-step explanation: sorry ik this aint
wat u looking for
find the coordinates of the midpoint of a segment with the given endpoints 3.)P(-12 -9) Q(2,10) help plz
Answers
Answer:
(-5, 0.5)
Step-by-step explanation:
-12+2/2= -5
-9+10/2= 0.5
(-5, 0.5)
Let U = {q, r, s, t, u, V, W, X, y, z}
A = {q,S, U, W, y}
B = {q, s, y, z)
C = {v, w, x, y, z)
List the elements in the set.
A'UB
Answers
Answer:
b
Step-by-step explanation:
because I am good at this
how many snakeman and red crows were sold altogether
Answers
Answer:
you did not out the full equation so I am not able to solve your problem.
If you put the full problem I will try to solve and walk you through it.
A goblin makes 50 pounds of goo in 2 hours. What is the unit rate?
Answers
the level of detail that an instrument can measure is known as its _____
Answers
Answer:
precision
Step-by-step explanation:
it just is
WILL RATE BRANLIEST Transversal t intersects lines a and b to form 8 angles. The angles formed with line a, clockwise from top left, are 1, 2, 3, 4. The angles formed with line b, clockwise from top left, are 5, 6, 8, 7.
For the diagram shown, which angles are corresponding angles
∠3 and ∠7
∠8 and ∠6
∠4 and ∠7
∠3 and ∠5
Answers
From the diagram, ∠3 and ∠7 can be seen to be corresponding angles.
The term corresponding anglesThe term corresponding angles are those angles that are formed on the same sides when we have two lines that have been cut by a transversal.
Having known what is meant by corresponding angles, we can now look at the image to identify which angles are corresponding angles. Clearly, ∠3 and ∠7 can be seen to be corresponding angles.
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Answer:
A,B,D, and F!
Step-by-step explanation:
here are the right ones
Angle1 and Angle3
Angle2 and Angle4
Angle5 and Angle7
Angle8 and Angle6
Solve: 4 − 2(2x − 7) = −6.
A) −6
B) −5
C) −3
D) 6
Answers
Answer:
x = 6
Step-by-step explanation:
4 − 2(2x − 7) = −6.
Distribute
4 -4x +14 = -6
Combine like terms
18-4x = -6
Subtract 18 from each side
18 -4x-18 = -6-18
-4x = -24
Divide each side by -4
-4x/-4 = -24/-4
x = 6
Tehara has read 115 pages of a 305 page book she reads 10 pages each day how many days will it take to finish
Answers
Answer:
19 days
Step-by-step explanation:
305 - 115 = 190
190 ÷ 10 = 19
What is the 325th Triangular number?
Answers
Answer:52813
Step-by-step explanation:
To get the 325th triangular number all you have to do is n x (n+1) /2
N=325
325 x 325+1
325x325=105625
105625+1=105626
105626/2=52813
There you go=52813 is the 325th triangular number
a company packages fruit baskets of different weights and ships them to customers. the company charges a flat fee for packaging the baskets. the total packaging and shipping cost in dollars, y, of a fruit basket weighing x pounds is represented by the line on the graph below. (1 point at (3, 10) another at (6, 16))
what is the y intercept of the line on the graph
Answers
Answer:
4
Step-by-step explanation:
The y-intercept of any given graph is always the value of the y of the point where the line of the graph intercepts or cut across the y-axis. It is the value of y when x = 0.
In this case, the y-intercept of the line of the graph above is y = 4. At y = 4, x = 0.
It represents the flat fee the company charges for packaging the baskets = $4.
x — бу + 2x = 5 2x – 3y+z = 4 3х +4y - z = -2
help on how to do it , its about substitution.
Answers
Top answer · 3 votes
option C is correct More
Which ordered pair gives the coordinates of a point that lies on the line shown in the graph?
The range of the x axis is minus five to five by increment of one. On the x axis minus four, minus two, two, and four are labeled. The range of the y axis is minus three to minus seven by increment of one. On the y axis minus two, two, four, and six are labeled. In the line graph, the x intercept of the line is (-2, 0) and y intercept of the line is (0, 4).
Answers
Answer:
(0,2)
Step-by-step explanation:
To know get the answer, you would start at the orgin of the paper (0) and up two. Therefore your answer is (0,2).
Answer: (0,-2)
Step-by-step explanation: Wouldnt it be that since its on the negaive side
If the perimeter of a
square is 60 feet, what is
the area of the square?
Answers
Answer:
225 ft I believe
Step-by-step explanation:
Answer:
225
Step-by-step explanation:
Well, the formula for perimeter is simply 2 times length + 2 times width. In the case of our square, this would simply be 2x+2x (since length = width), or 4x . Therefore, if given an area, all you'd do is take the square root (to get from x2 to x , and then multiply by 4 to find perimeter.
Her friend comes to the rescue and brings 15 more cups of chocolate chips! How many more muffins will they be able to make with the additional chocolate chips?
Answers
Answer:
Not enough context.
Step-by-step explanation:
Please give us the full question. How many chocolate chips in a muffin?
Erin drinks the same amount of milk every day. The equation below represents the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk. 16m=2d How long does it take for Erin to drink 1 gallon of milk?
Answers
Answer:
8 days
Step-by-step explanation:
We have that the proportional relationship between the number of gallons of milk (m) and the numbers of days (d) Erin drinks milk is:
[tex] 16m = 2d [/tex]
Hence, the days that would take Erin to drink 1 gallon of milk is:
[tex] d = \frac{16m}{2} = 8m = 8*1 = 8 d [/tex]
Therefore, it would take for Erin 8 days to drink 1 gallon of milk.
I hope it helps you!
Write and evaluate the expression. Then, complete the statements.
six more than the product of nine and a number
Evaluate when q = 6
A 2-column table with 5 rows. Column 1 is labeled Key words with entries six, more than, product, nine, a number. Column 2 is labeled Replace with entries 6, +, times, 9, q.
First, write the expression
6 + 9q
.
Second,
evaluate
6 in for the variable, q.
Third,
simplify
using
order of operations
.
The answer is
.
Answers
Answer:
first one is
6+9q
substitute
simplify
order of operations
the answer is 60
Step-by-step explanation:
i got it on edenuity what ever it
hope i helped :)
What is the value of h(3)?
Answers
Answer:
1
Step-by-step explanation:
The value of h(3) basically means what y-value does the function h have when x=3 ?
Looking at the graph, when x is 3, the y value is 1.
h(3)=1
Please help
Use the table below to answer this question:
x y
−1 -3
0 -1
2 3
Find the average rate of change for the given function from x = −1 to x = 2.
Answers
Answer:
;)
Step-by-step explanation:
Bugs Bunny wanted to buy some new signs to use to trick Daffy Duck. Each sign costs $12, and tax is only 6% in Looney Tune Land. How much would Bugs pay for three signs with tax?
(Please show work too :) )
Answers
Answer:
$38.16
Step-by-step explanation:
12*3=36
36*0.06=2.16
36+2.16=38.16
Hope this helps! :)
A poll conducted the day before the student- body presidential election at a midwestern university showed that 53.9 percent favored Mario, the rest favoring Yin Ling. The margin of error was 4.2 percentage points. Should Yin Ling have conceded the election?
Answers
Answer:
No
Step-by-step explanation:
The confidence interval of the percentage of people that favored Mario = number of votes favoring Mario ± Margin of error
The confidence interval = 53.9% ± 4.2% = (49.7%, 58.1%)
This means that between 49.7% to 58.1% of the people would have voted for Mario.
Hence Yin Ling would not have won the election, since there is a probability that 50% would have voted for Mario
[(2r^2t)^3/4t^2]^2 simply
Answers
Answer:
=4r12t10
Step-by-step explanation:
A flagpole casts a 40-foot shadow. The angle of elevation from the tip of the shadow to the tip of the flagpole is 32 degrees. how tall is the flagpole? round your answer to the nearest foot.
Answers
Apex: 25 feet is the correct answer!
Step-by-step explanation:
Take it or leave it:) Good Luck
The height of the pole is 25 foot (approximate)
What is angle of elevation?The angle of elevation is the angle formed between the horizontal line and a given observer’s line of sight. From its name, the angle of elevation represents the angle formed by the ground or base and the direction or the observer’s line of sight as the observer looks up at an object.
Given,
The shadow of the flagpole = 40 foot,
and the angle from the tip of the shadow to the tip of the flagpole = 32°
Perpendicular is the height of the pole and Base is its shadow.
Tan(x)=(perpendicular)÷(base)
Tan(32°) = 0.624869352
0.624869352 = (height of pole)÷40
0.624869352 x 40 = height of pole
24.9947741 = height of pole
Height of pole = 24.9947741
Height of pole ≈ 25 foot
Hence, tthe height of the pole is 25 foot (approximate)
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