Use a half-angle identity to find the exact value of cos 15º.

Use A Half-angle Identity To Find The Exact Value Of Cos 15.

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]cos15=cos\frac{30}{2}[/tex] so the angle we will use in our identity is 30 degrees. The formula is

[tex]cos\frac{30}{2}=\sqrt{\frac{1+cos30}{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{1+\frac{\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{\frac{2+\sqrt{3} }{2} }{2} }[/tex] which simplifies to

[tex]\sqrt{\frac{2+\sqrt{3} }{4} }[/tex] which simplifies, finally, to

[tex]\frac{\sqrt{2+\sqrt{3} } }{2}[/tex], choice a.


Related Questions

What does this mean and what is the answer?

-3(-7)​

Answers

Answer:

-3 * -7 = 21

Step-by-step explanation:

-3(-7) = -3 * -7

Multiply

Remember: negative * negative = positive

So -3*-7 = 21

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Find the volume of the given cylinder

Answers

Answer:

The answer is 32 I just know it

someone please help i need to be done with 34 assignments by tomorrow
i'm a whole month behind bc there was a family emergency and i had to fly out of state but now i'm behind

NO LINKS OR FILES

Answers

Answer:

y=2(x + 2))^2 - 9

Step-by-step explanation:

So, whenever two negative signs are right next to each other, they make a positive. However, when they are alone, they stay negative.

With this, y=2(x-(-2))^2 + (-9) --> y=2(x + 2))^2 -9

On a number line, the distance between x and 8 is 2 units.

Which equation can be used to determine the possible values for x?

Answers

Answer:

x+2=8

x+2_2=8_2

x=6

x=2*3

x=6

Mr. Jones has a box that is a right rectangular prism, It has a height of 2 inches, a width of 3 inches, and a volume of 30 cubic inches. How many inches long is Mr. Jones' box? *

Answers

Answer:

The box is 5 inches long.

Step-by-step explanation:

V=lwh

30=l(3)(2)

30=6l

30/6=l

5=l

What is the surface area of a conical grain storage tank that has a height of 54 meters and a diameter of 18 meters round the answer to the nearest square meter

Answers

Answer:

1803 square meter

Step-by-step explanation:

The surface area of a cone

A=πr(r+V(h2+r2))

where A is the surface area, r is the radius and h is the height

Given that the height of 54 meters and a diameter of 18 meters, the radius is half the diameter hence

radius = 18/2 = 9 m

A = 9π (9 + V(54^2 + 9^2))

= 9π (9 + V2997)

= 9π (9 + 54.74486)

= 1803.068976 Square meters

To the nearest square meter

A = 1803

Given the following quadratic function what’s the value of a, B, and C?

f(x)= 3x^2 - 5x -12

Answers

Answer:

Below.

Step-by-step explanation:

a = 3, b = -5 and c = -12.

I need help I’ll give brainlist answer.

Answers

Answer:

All beside D

Step-by-step explanation:

Just type it no files please help

Answers

Answer:

yes 4x5 is 4 rows of 5

Step-by-step explanation: brainiest

please

Answer is true 4×5 means 4 rows of 5

Divide 78 in the ratio 8 : 1 : 4

Answers

Answer:

78×8/13=48

78×1/13 =6

78×4/13=24

8:1:4

48:6:24

please help! I need to solve it algebraically and if you can show your work/explain how you got the answer that would help a ton because I need that to!

Answers

The answer is x=-10

Step-by-step explanation:

the reasoning is you do the inverse or opposite of three to both sides so you add +3 to both sides so the -3 and the +3 would cancel out then you would add +3 to the integer -23 and get -20 next is you divide by 2 on each side so you 2÷2 which would cancel out and then -20÷2 which would equal -10

Hence the answer is x=-10

2x+ (-3) = -23
2x + (-3) - (-3) = -23 - (-3)
2x = -23 + 3
2x = -20
2x/2 =-20/2
x = -10

Sum of 2 fifths of x and 6x and 6 in algebraic expression​

Answers

Sum of 2 fifths of x and 6x and 6 in algebraic expression = 2/5 x +6x +6

Answer:

(14x+12)/5

Step-by-step explanation:

2 fifth of x = 2/5 * x= 2x/5

2 fifth of 6x = 2/5 * 6x = 12x/5

2 fifth of 6 = 2/5 * 6 = 12/5

2x/5 + 12x/5 + 12/5

= (2x+12x+12)/5

= (14x+12)/5


Kendall found that the solutions to a quadratic equation were -2 and 3. Which of the following descriptions of the quadratic equation are true? Select all that apply
А The x-intercepts of the graph are also - 2 and 3
B
The x-intercepts of the graph are 2 and 3)
C
The factors are (x - 2) and (x + 3).
D
The factors are (x + 2) and (x-3).
The equation is y six + 2)(x - 3),
The equation is y(x-2)(x + 3).

Answers

If the solutions to a quadratic equation were -2 and 3 then,

А. The x-intercepts of the graph are also - 2 and 3.

C. The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0 is x² = x - 6 = 0.

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Given, The solutions to a quadratic equation were -2 and 3.

∴ The quadratic equation ax² + bx + c = (x + 2)(x - 3).

So,  The x-intercepts of the graph are also - 2 and 3.

The factors are (x - 2) and (x + 3).

The equation is ax² + bx + c = 0

=  (x + 2)(x - 3) = 0

= x² - 3x + 2x - 6 = 0

= x² = x - 6 = 0.

learn more about quadratic equations here :

https://brainly.com/question/17177510

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this would be SSS correct ?

Answers

Answer:

Yes

Step-by-step explanation:

I think so

yes because there are three sides that are equal to each other consecutively

2x-y=10 y=-4x+2 substitution method

Answers

Answer:

the solution is (2, -6)

Step-by-step explanation:

Substitute the second equation into the first, replacing y in the first:

2x - (-4x+2) = 10

Simplifying, we get:

2x + 4x - 2 = 10, or:

6x = 12, which yields x = 2.

Substituting 2 for x in the second equation yields y = -4(2) + 2 = 0, or y = -6

Then the solution is (2, -6).

Help me please! No idea

Answers

Answer:

40

Step-by-step explanation:

A box is designed to hold pencils the front of the box will be made of a clear material for display. The rest of the box will be made from cardboard

Answers

Answer:

100 cm²

Step-by-step explanation:

Given that :

Length of prism = 20 cm

Height, h = 5cm

Width, w = 4 cm

The surface are of the side with clear material can be obtained by calculating the area of rectangule (front)

Area of rectangle = Length * height

Area = 20 * 5 = 100 cm²

A 10ft by 10ft square garden contains a large walking path through the diagonal. What is the area of the walking path shown in the gray below?

Answers

64fts^2 is the answer

what is 1+7-4(8-9) no links or scams​

Answers

Answer: =12

Step-by-step explanation: Hope this help :D

f , what is the truncation error for S3?

0.016
0.031
0.219
0.234

Answers

Answer: it’s B, 0.031

Step-by-step explanation: edge 2021

There were 300 adults and 180 children at a football game. What percent of the spectators were adults?

Answers

Answer:

62.5

Step-by-step explanation:

300+180=480

300/480×100

4x + 8y = 20 and -4x + 2y = -30

Answers

Step-by-step explanation:

Given :-

4x + 8y = 20 -4x + 2y = -30

Adding the equations :-

[tex]: \implies[/tex] 10y = -10

[tex]: \implies[/tex] y = -1

Put it (i) :-

[tex]: \implies[/tex] 4x - 8 = 20

[tex]: \implies[/tex] 4x = 20 + 8

[tex]: \implies[/tex] 4x = 28

[tex]: \implies[/tex] x = 28/4

[tex]: \implies[/tex] x = 7

If point A is between points Band C and AB = 26 and BC = 50, find AC.
24
66
78
16

Answers

Answer:

24

Step-by-step explanation:

if A is a point between B and C, then'

BA + AC = BC

GIven

AB = 26 and BC = 50

BA = 26

Substitute

26 + AC = 50

AC = 50 - 26

AC = 24

Hence thelength of AC is 24

A two-factor between-subjects design is evaluated. The F-value for Factor A has df = 1, 40 and the F-value for Factor B has df = 3, 40. Based on this information, what are the df values for the A x B interaction?

Answers

Answer:

The df values for the A x B interaction are also 3,40

Step-by-step explanation:

The F-value for Factor A has df = 1, 40

The F-value for Factor B has df = 3, 40.

The df values for the A x B interaction are also 3,40

This is because the source of variation between columns has ( c- 1); rc(n-1) degrees of freedom and  the source of variation between  rows has (r-1); rc(n-1) degrees of freedom and the  source of variation of interaction

(between rows and columns)  has ( c-1) ( r-1); rc(n-1) degrees of freedom.

Therefore

Factor A:  ( c- 1); rc(n-1)    = 1,40

Factor B:    (r-1); rc(n-1)     = 3,40

Interaction : ( c-1) ( r-1); rc(n-1)   =  3*1,(40)= 3,40

where c refers to columns , r refers to rows and n refers to the total sample size.

hey! i’ll give brainliest help thanks

Answers

Answer:

incorrect because essential means important

A store has shirts on display. Seven of the shirts are red. There are 5 more blue shirts than green shirts. There are 2 fewer yellow shirts than green shirts. If there are 28 shirts in​ all, how many shirts are there of each​ color? Ask for details Follow Report

Answers

Answer:

7 red shirts

6 green shirts

11 blue shirts

4 yellow shirts

Step-by-step explanation:

Let y represent the number of green shirts.

So y+5 is the number of blue shirts.

And y-2 is the number of yellow shirts.

And we have 5 red shirts.

Therefore,

7+5+y+y-2+y=28

12-2+3y=28

10+3y=28

3y=28-10

3y=18,divde through by 3

y=6

Please help with this

Answers

Answer:

CORRECT STATEMENTS:

CD

Step-by-step explanation:

Item 3
A rectangle is 29 feet long and 7 feet long.

What is the area of this rectangle?


203 ft²

143 ft²

107 ft²

72 ft²

Answers

Answer: 203

Step-by-step explanation:

to find the area, you have to multiply the length of the sides together. 29x7 = 203

In triangle RST, the measure of angle T=90°, the measure of angle R=82°, and TR=44 feet. Find the length of ST to the nearest tenth of a foot.

Answers

Answer:

[tex]x=6.183ft[/tex]

Step-by-step explanation:

From the question we are told that:

Angel of side [tex]T=90[/tex]

Angel of side [tex]R=82[/tex]

Length Side [tex]TR=44[/tex]

Generally the equation for Angle of side ST [tex]\theta[/tex] is mathematically given by

Since Angle in Triangle =180 therefore

 [tex]\theta=180-(90+82)[/tex]

 [tex]\theta=8[/tex]

Therefore Applying sine rule to get Length of ST x

 [tex]\frac{x}{sin\theta}=\frac{TR}{sin82}[/tex]

 [tex]x=\frac{44}{sin82}*sin8[/tex]

 [tex]x=6.183ft[/tex]

Which of these best describes the circumference?
A The square root of the area of a circle
B. The ratio of the radius of a circle to its diameter
C. The radius of a circle times 3.14
D. The diameter of a circle times 3.14

Answers

Answer:

D

Step-by-step explanation:

Since the formula of circumference is 2πr

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