What is the answer to the question?

Answer:

θ = [tex]\frac{\pi }{3}[/tex] (60° )

Step-by-step explanation:

Using the identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

cos²θ - sin²θ = 2 - 5cosθ

cos²θ - (1 - cos²θ) = 2 - 5cosθ

cos²θ - 1 + cos²θ = 2 - 5cosθ

2cos²θ - 1 = 2 - 5cosθ ( subtract 2 - 5cosθ from both sides )

2cos²θ + 5cosθ - 3 = 0 ← in standard form

(cosθ + 3)(2cosθ - 1) = 0 ← in factored form

Equate each factor to zero and solve for θ

cosθ + 3 = 0

cosθ = - 3 ← not possible as - 1 ≤ cosθ  ≤ 1

2cosθ - 1 = 0

cosθ = [tex]\frac{1}{2}[/tex] , so

θ = [tex]cos^{-1}[/tex] ([tex]\frac{1}{2}[/tex] ) = [tex]\frac{\pi }{3}[/tex] ( or 60° )

Answer:

[tex] \huge \boxed{ \boxed{\blue{ { \theta = 60}^{ \circ} }}}[/tex]

Step-by-step explanation:

[tex] \sf the \: second \: eqution \: is \: false \: \\ \sf because \: - 1 \leqslant \cos( \theta) \leqslant 1 \: \\ \sf but \: we \: can \: still \: work \: with \: the \: second \: equation[/tex]

Answer:

27x^6 y^9

z^9

Step-by-step explanation:

That should be the answer,if not...sorry!:)

The ordered pair representing the preimage and the image is below

preimage      image

k (2, 3)            K' (6, 1)

L (4, 2)            L' (8, -4)

Q (2, 2)           Q' (6, -4)

The position of the image is calculated using the translation rule

(x, y) → (x + 4, y - 2)

preimage  Translation      image

k (2, 3)      (2 + 4, 3 - 2)     K' (6, 1)

L (4, 2)      (4 + 4, -2 - 2)     L' (8, -4)

Q (2, 2)     (2 + 4, -2 - 2)     Q' (6, -4)

Learn more on translation:

https://brainly.com/question/29321966

#SPJ1

Answer:

the positive of 65 milion is 65 million and the negitive iis -65 mil i think

Step-by-step explanation:

Answer:

6.5*10^7

Step-by-step explanation:

65,000,000 and came up with the answer 6.5*10^7.

=========================================

The diagram shows:

Recall that the area of a parallelogram is equal to the base times height

area = base*height

We're told that the area is 117 square units, so that means 13x = 117.

Divide both sides by 13 to isolate x

13x = 117

13x/13 = 117/13

x = 9

The height of the parallelogram is 9

Note how:

area = base*height = 13*x = 13*9 = 117

which helps confirm we have the correct height value for x.

Answer:

which topic in math

Step-by-step explanation:

what grade are you in? hope it's not money

What subject is it????

Answer:

Natalie saved 16%

Step-by-step explanation:

Natalie saved 16% because 20 divided by 125 is 0.16

When we find percentages our goal is to get something like 0.24 which would mean 24% or 0.14 or 14% in this case it is perfect because we immediately see 0.16 or 16% leaving us with our answer, Natalie got 16% off her new phone.

Answer:

16%

Step-by-step explanation:

so that is the original number subtracted by a percentage, but that percentage is then multiplied by 125

125-(x/100)125=125-20

x=16

Hope that helps :)

Answer:

3(x+2)(x+8)

Step-by-step explanation:

Answer:

[tex]3(x+8)(x+2)[/tex]

Step-by-step explanation:

[tex]3x^2 + 30x + 48 = 3(x^2 + 10x+ 16) = 3(x+8)(x+2)[/tex]

the area is 254.34 sq. ft.

Answer:

254.34 ft²

Step-by-step explanation:

diameter = 18 feet

radius = 18/2 = 9 feet

Area = pi x r²

= pi x 9²

= pi x 81

= 254.34 ft²

Answer:

since there are 18 of these isosceles triangles in the polygon, then multiply this by 18 to get area of the polygon with 18 sides is equal to 28.56497087 square units. you can round this to as many desimal digits as required. each of those little triangle with a vertex angle of 20 degrees is an isosceles triangle.

Answer:

x = 5

Step-by-step explanation:

5 + 4 = 4 + 5

9 = 9

That means this statement is true.

You can download answer here

tinyurl.com/wpazsebu

this aint the answer but this is to help u in class when u cant use this app

Step-by-step explanation:

id recommend desmos scientific calc. you put the #'s in ex: 5/2 = 2.5 and it gives u the exact answer so u can put them in order easier also , use a lined paper sideways and put the numbers in the spaces to line it out iyk what i mean by that so you can number it from least to greatest easier !!! if ur confused ill try amd help u understand it morw but thats just how it helped me get how to do it

Answer:

5,9,2

Step-by-step explanation:

Question:

Carlos mixed [tex]\dfrac4{15}\text{ L}[/tex] of chocolate syrup with [tex]\dfrac12\text{ L}[/tex] of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed

Answer:

0.8 liters of liquid

Step-by-step explanation:

Given

[tex]Chocolate:= \dfrac4{15}\text{ L}[/tex]

[tex]Milk:= \dfrac12\text{ L}[/tex]

Required

An estimate of the total liquid

First, we get the actual total liquid.

[tex]Total = Chocolate + Milk[/tex]

[tex]Total =\dfrac4{15}\text{ L} + \dfrac12\text{ L}[/tex]

Take LCM

[tex]Total =\dfrac{8 + 15}{30}\text{ L}[/tex]

[tex]Total =\dfrac{23}{30}\text{ L}[/tex]

Express as decimal

[tex]Total ={0.7666}\text{ L}[/tex]

Estimate [Approximate]

[tex]Total ={0.8}\text{ L}[/tex]

Answer:

about 3/4

Step-by-step explanation:

start fraction, 3, divided by, 4, end fraction, start text, space, L, end text

Hint #11 / 5

We can make an estimate by picturing each fraction:

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half.  The first part is shaded.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded.

Hint #22 / 5

To find the total amount of chocolate milk, we need to add \greenD{\dfrac{4}{15}}

15

4

​

start color #1fab54, start fraction, 4, divided by, 15, end fraction, end color #1fab54 and \purpleD{\dfrac12}

2

1

​

start color #7854ab, start fraction, 1, divided by, 2, end fraction, end color #7854ab.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half.  The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.

A tape diagram made up of two tapes of equal length. The tape on the top is divided into fifteen equal parts with each part labeled one-fifteenth. The first four parts are shaded. The tape on the bottom is divided into two equal parts with each part labeled one-half. The first part is shaded. Below the tapes, a curved bracket across the tapes is labeled 1.

Hint #33 / 5

We can compare our sum to benchmarks like {\dfrac12}

2

1

​

start fraction, 1, divided by, 2, end fraction and 111:

A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number line.

A number line labeled 0 to 1 with tick marks every one-half unit. A tape diagram is above the number line from the tick mark at 0 to the tick mark at 1. The tape diagram is divided into 6 unequal parts. The first 4 parts are equal in size, shaded, and each labeled one-fifteenth. The next part is shaded and labeled one-half. The sixth part is not shaded and not labeled. Together, the five shaded parts of the tape diagram are from the tick mark at zero to an approximate halfway point between the tick mark at one-half and the tick mark at one of the number lines.

Hint #44 / 5

Our sum is more than

2

1

​

start fraction, 1, divided by, 2, end fraction but less than 111.

Answer:

3......

Step-by-step explanation:

in triangle sum of two sides must be equal to third side......

hope this will help u.....

Answer: 15

Step-by-step explanation: All the information you need is a=3

5a is the same as saying 5xa or 5x3, so there you have it- 15

Hope this helps <3

Answer:8

Step-by-step explanation:

48/4 = 12

12-4 = 8

Answer:

abcd

Step-by-step explanation:

efg

Your answer is:

C)  53

THANK YOU!!

∝ Sidhdi

c = 20 × 5

c = 100

and that's all

Answer:

Step-by-step explanation:

Answer:

This statement makes sense because this would mean that a slice of pizza and a soda costs him about ​$49 a day

Step-by-step explanation:

Given

The total spent on a slice of pizza and a soda is:

[tex]Cost > \$18000[/tex] per year

Required

Which of the options is true:

First, we calculate the daily amount spent on a slice of pizza and a soda.

Assume that the yearly cost is: $18000

The daily cost is:

[tex]Daily = \frac{\$18000}{365}[/tex]

[tex]Daily = \$49.32[/tex]

This means that he spends about $49 daily

Answer:

oh, well, sorry

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Slope is rise over run.

Answer: x=-5

Step-by-step explanation:

You would have to do the inverse to “undo” the equation.

So first you would do -7-3=-10

Then you would do -10/2=-5 to find x

Answer:

A

Step-by-step explanation: