solve this please
please​

Solve This Pleaseplease

Answers

Answer 1

Answer:

Step-by-step explanation:

cos(2a) = cos^2(a) - sin^2(a)

cos(2a) = 2cos^(a) - 1

cos(2a) = 11/25

11/25 = 2 cos^(a) - 1             Add 1 to both sides

1 + 11/25 = 2 cos^2

25/25 + 11/25 = 2 cos^2(a)

36/25 = 2 cos^2 (a)            Divide by 2

36/50 = cos^2 (a)               Take the square root of both sides.

6/5*sqrt(2) = cos(a)            

Answer 2

One is given the following:

[tex]cos(2A)=\frac{11}{25}[/tex]

One is asked to prove the following:

[tex]cos(A)=\frac{6}{5\sqrt{2}}[/tex]

In order to prove the statement above, one will need to use a trigonometric identity. In this case, the following identity is the most relevant in the proof.

[tex]cos(2a)=2cos^2(A)-1[/tex]

One can manipulate this identity to suit the needs of the given problem:

[tex]cos(2a)=2cos^2(A)-1[/tex]

[tex]cos(2a)+1=2cos^2(A)[/tex]

[tex]\frac{cos(2a)+1}{2}=cos^2(A)[/tex]

[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]

Now substitute the given information into this identity,

[tex]cos(2A)=\frac{11}{25}[/tex]

[tex]\sqrt{\frac{cos(2a)+1}{2}}=cos(A)[/tex]

Substitute,

[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]

Simplify, remember, any number over itself equals (1) and, in order to add two fractions, they must have the same denominator.

[tex]\sqrt{\frac{\frac{11}{25}+1}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{\frac{11}{25}+\frac{25}{25}}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{\frac{36}{25}}{2}}=cos(A)[/tex]

[tex]\sqrt{\frac{18}{25}}=cos(A)[/tex]

[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]

Manipulate so that it resembles the given information; remember, any number over itself is (1), multiplying an equation by (1) doesn't change it,

[tex]\frac{3\sqrt{2}}{5}=cos(A)[/tex]

[tex]\frac{3\sqrt{2}}{5}*\frac{\sqrt{2}}{\sqrt{2}}=cos(A)[/tex]

[tex]\frac{3\sqrt{2*2}}{5*\sqrt{2}}=cos(A)[/tex]

[tex]\frac{6}{5\sqrt{2}}=cos(A)[/tex]


Related Questions

Find the sum of 8a –2b + 3c and –3a +4b –3c

Answers

ANSWER:
5a+2b

add the like terms together

Answer: 5a + 2b

Step-by-step explanation:

Given

(8a - 2b + 3c) + (-3a + 4b - 3c)

Expand parentheses

=8a - 2b + 3c - 3a + 4b - 3c

Put like terms together

=(8a - 3a) + (4b - 2b) + (3c - 3c)

Combine like terms

=5a + 2b + 0

=[tex]\boxed{5a+2b}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

What is the ratio 1.6 kg: 120g lowest term?

Answers

Answer:

40:3

Step-by-step explanation:

1.6kg:120g

1600g:120g

1600:120

160:12

80:6

40:3

X-2y-2=0 in slope-intercept form

Answers

Answer:

y = x/2 - 1

Step-by-step explanation:

Just throw everything to the right till only y is on the left side

X-2y-2=0

- 2y =-x+2

2y = x - 2

y = x/2 - 1

What is the value of R? (Assume R > 0)
R/4=36/R
A)8
B)9
C)12
D) 20

Answers

The Answer Should Be D

The value of R is 12.

What are square roots?

A value that yields the original number when multiplied by itself is known as the square root of a number. The square root is a backwards technique for figuring out a number. Thus, squares and square roots are connected ideas.

Given R/4 = 36/R

multiply both sides by R

R/4 x R = 36/R x R

R²/4  =  36

multiply both sides by 4

R²/4 x 4 =  36 x 4

R² = 144

so R = √144

R = 12

Hence R = 12 for given condition.

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guys PLEASE help my brain is trying to fall asleep on me rn and its due

Answers

Step-by-step explanation:

perimeter=a+b+c

p=10.5+15+(-5(x+11))

p=25.5-5x-55

p,=-5x-29.5

What is the length of MO?

Select the best answer from the choices provided.
A.4
B.5.656
C.8
D.11.314

Answers

Answer:

D

Step-by-step explanation:

8^2+8^2=128

Square root of 128 is about 11.313


HELP FAST PLEASE


Colton has a bag that contains orange chews, lemon chews, and peach chews. He
performs an experiment. Colton randomly removes a chew from the bag, records the
result, and returns the chew to the bag. Colton performs the experiment 49 times.
The results are shown below:
A orange chew was selected 18 times.
A lemon chew was selected 6 times.
A peach chew was selected 25 times.
Based on these results, express the probability that the next chew Colton removes
from the bag will be orange or lemon as a decimal to the nearest hundredth.

Answers

Answer:

0.49

Step-by-step explanation:

just convert 24/49 into a decimal

Determine the values of X, Y and Z on the following number line:
HH
X -11 Y 9 Z

Answers

-11 y 17 with z and x on the line

h(x)=x^2-x-1; h(2a+7)​

Answers

Answer:

2

Step-by-step explanation:

By how much does x power 2 - ax +5 exceeed 3x power 2 -5x=6 I hope this helps :)

Change the mixed form into improper fraction.


[tex]3 \times \frac{3}{8} = [/tex]

Answers

this answer is 2 2/8 i think
The improper fraction is 9/4


Find an expression which represents the sum of (8x + 10y) and (-4. – 3y) in
simplest terms.
Answer:
Submit Answer
attempt 1 out of 2

Answers

8x+7y-4 right answer !

help plz ^^^^^^^^^^!!!!!!!

Answers

Answer:

refer pic

sorry for messy handwriting

hope it help u and i appreciate if you give brainliests, thanks

find the area of the shades figure

Answers

Answer:

14,142.858

Step-by-step explanation:

g=A/4


fous on a please

Answers

G = A/4

Solve for A by multiplying both sides by 4:

A = 4G

How many cups of 15% juice
must be added to 10 cups of
20% juice so that the mixture is
17% juice?

Answers

Answer:

15 cups

Step-by-step explanation:

20% of juice has:

10*0.2 = 2 cups of extract

If x cups of juice added we'll have:

2 + x*0.15 = 0.17(10 + x)2 + 0.15x = 1.7 + 0.17x0.17x - 0.15x = 2 - 1.70.02x = 0.3x = 0.3/0.02x = 15

(PLEASE HELP) Substitution and Evaluation, Complete the students work by dragging the numbers to the empty spaces

Answers

Answer:

boxes count from top to bottom

Someone help pleasee

Answers

Answer:

a: 7000

Step-by-step explanation:

5 year = 10, 6 months

700 x 10 = 7000

What is the area of this trapezoid? Please find the correct answer and equation.

Answers

Answer:

Step-by-step explanation:

Math geometry (10 points)

Answers

It’s going to be c because I said so just trust me

If (x,2) is a solution to the equation -2x+4y=-8, what is the value of x

Answers

Answer:

x=8

Step-by-step explanation:

-2x+4y=-8

Let y = 2

-2x+4*2=-8

-2x+8=-8

Subtract 8 from each side

-2x+8-8=-8-8

-2x=-16

Divide by -2

-2x/-2 = -16/-2

x = 8

y=2
-2x+4×2=-8
-2x+8=-8
-2x=-8-8
-2x=-16
x=8

Hope my answer helped u :)

What is (x)
9.4x+17.5

Answers

Answer: x=1.8617                                                                                                                                                                

Step-by-step explanation: 9.4x+17.5                                                                     9.4x/9.4=17.5/9.4                                                                                                     x=1.8617                                                                                                                                                                  

Where is the error in the solution below? Explain what the error is and solve the equation correctly. Be sure to check your answer.

Answers

Answer:

The error in the question is that in the second line, both sides are not multiplied by x. This causes an imbalance in the equation.

Step-by-step explanation:

[tex]\frac{5}{x}= x-4[/tex]

Multiply both sides by x.

[tex]x(\frac{5}{x}) = x(x-4)[/tex]

[tex]5= x^{2} -4x[/tex]

Subtract 5 from the equations.

[tex]x^{2} -4x-5=0[/tex]

Factorise the equation (Quadratics)

[tex](x-5)(x+1)=0[/tex]

Null Factor Law

[tex]x=5[/tex] or [tex]x=-1[/tex]

The error in the solution is in the step where we multiplied both sides of the equation by x. The error in the question is that in the second line, both sides are not multiplied by x. The correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1.

Here, we have to go through the equation and correct it:

Starting equation: 5/x = x - 4

Multiply both sides by x:

x * (5/x) = x * (x - 4)

[tex]5 = x^2 - 4x[/tex]

Move all terms to one side to set up a quadratic equation:

[tex]x^2 - 4x - 5 = 0[/tex]

Now, we have a quadratic equation that needs to be solved.

We can solve this quadratic equation using factoring, completing the square, or the quadratic formula.

In this case, let's use factoring:

(x - 5)(x + 1) = 0

This gives you two possible solutions:

x - 5 = 0 --> x = 5

x + 1 = 0 --> x = -1

So, the correct solutions for the equation 5/x = x - 4 are x = 5 and x = -1. The error in your solution was in the step where you multiplied by x; you didn't distribute x properly to both terms on the right side of the equation.

This causes an imbalance in the equation.

To learn more on equation click:

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Plessse help, thanks
The profitability, P, of a popular restaurant franchise can be modeled by the function P (t) = t4 – 9t3 + 24t2 – 20t, where t is the number of months since the restaurant opened. How many months after the franchise opens will it begin to show a profit?

5 months
3 months
2 months
1 month

Answers

Replace t with the months given as choices to see which one gives a positive value as an answer.

P(1) = 1^4-9(1)^3 + 24(1)^2-20(1) = -4

P(2) = 2^4-9(2)^3+24(2)^2-20(2) = 0

P(3) = 3^4 -9(3)^3+24(3)^2-20(3) = -6

P(5) = 5^4-9(5)^3+24(5)^2-20(5) = 0

P(6) = 6^4-9(6)^3+24(6)^2-20(6) = 96

It shows a profit in month 6 so it would start showing a profit in month 5.

The answer is 5 months

Algebra
I need to work this out help me please

Answers

There must be more to the problem

IT
17) Between which two consecutive whole numbers does the length of the diagonal
fall? The length of the diagonal is between
a) 3 and 4 b) 4 and 5
c) 5 and 6 d) 6 and 7
V 18

D
Ос
Od

Answers

Answer:

4 and 5, closer to 4

Step-by-step explanation:

hope that helps>3

Please help me I’m struggling!
Collinear points lie on the same line. Find the value of k for which the following points are collinear: (k,3), (-3,2), (-1,1)

Answers

Answer:

Points lie on the same line if and only if the points are collinear

Step-by-step explanation:

Can someone help me pls ASAP

Answers

It’s 1+5+11+3= 20 and that’s the answer of the number

I need help with 13

Answers

9514 1404 393

Answer:

  g(x) = (x -3)² -6

Step-by-step explanation:

You know that a function f(x) is translated h units to the right when x is replaced by x-h.

  g(x) = f(x-h) . . . . . translated h units right

You also know that a function f(x) is translated k units up when k is added to the function value.

  g(x) = f(x) +k . . . . . translated k units up

__

Here, we want to translate f(x) 3 units right and 6 units down. Using the above relations, we will get ...

  g(x) = f(x -3) -6

Using the given definition of f(x), this becomes ...

  g(x) = (x -3)² -6

Each morning Tess chooses either a red ribbon or a blue ribbon at random to wear in her hair. What is the probability that Tess will choose a red ribbon on both Monday and Tuesday?​

Answers

Answer:

1/4 chance

Step-by-step explanation:

First you need to find the probability of Tess choosing a red ribbon.

1/2

Then you need to multiply that probability by the reciprocal of 2, which is 1/2

1/2 x 1/2 = 1/4

12. Observe the pattern made by the figures. Can
you write a conjecture about the number of
triangles formed by connecting one vertex of
a polygon with n sides to each of the other
vertices? SEE EXAMPLE 2
A
Number
of Sides:
3
4
5
6

Answers

Conjectures are used to form opinions about a certain subject. The conjecture from the given figure is that:

The number of triangles that can be formed by an n-sided shape is n - 2.

Given that:

[tex]n \to[/tex] number of sides

From the attached figures, we have the following observation.

3 sides - 1 triangle4 sides - 2 triangles5 sides - 3 triangles6 sides - 4 triangles

If this pattern continues, the number of triangles for an n-sided shape will be: n - 2

Hence, the conjecture is:

The number of triangles that can be formed by an n-sided shape is n - 2.

Read more about conjectures at:

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