find the area of the figure

Answer:

[tex]\huge\boxed{x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}}[/tex]

Step-by-step explanation:

[tex]\cos x=\sin2x\qquad|\text{use}\ \sin\theta=2\sin\theta\cos\theta\\\\\cos x=2\sin x\cos x\qquad|\text{subtract}\ \cos x\ \text{from both sides}\\\\0=2\sin x\cos x-\cos x\\\\2\sin x\cos x-\cos x=0\qquad|\text{distribute}\\\\\cos x(2\sin x-1)=0\iff\underbrace{\cos x=0}_{(1)}\ \vee\ \underbrace{2\sin x-1=0}_{(2)}[/tex]

[tex](1)\\\cos x=0\Rightarrow x=\dfrac{\pi}{2}+k\pi;\ k\in\mathbb{Z}[/tex]

[tex](2)\\2\sin x-1=0\qquad|\text{add 1 to both sides}\\\\2\sin x=1\qquad|\text{divide sides by 2}\\\\\sin x=\dfrac{1}{2}\Rightarrow x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi[/tex]

[tex]\text{From}\ (1)\ \text{and}\ (2)\ \text{we have}\\\\x=\dfrac{\pi}{2}+k\pi\ \vee\ x=\dfrac{\pi}{6}+2k\pi\ \vee\ x=\dfrac{5\pi}{6}+2k\pi\\\\\text{We have the interval}\ x\in[0;2\pi).\ \text{Therefore the solution is:}\\\\x\in\left\{\dfrac{\pi}{6};\ \dfrac{\pi}{2}\ \dfrac{3\pi}{2};\ \dfrac{5\pi}{6}\right\}[/tex]

Answer:

y = 5/4x + 9

Step-by-step explanation:

Slope-Intercept Form: y = mx + b

m - slope

b - y-intercept

Step 1: Define

m = 5/4

Random point (-8, -1)

y = 5/4x + b

Step 2: Find y-intercept b

-1 = 5/4(-8) + b

-1 = -10 + b

b = 9

Step 3: Write linear equation

y = 5/4x + 9

Answer:

$12 dollars a ticket

Answer:

y=42h  or h=y/42

Step-by-step explanation:

The constant would be the number of yards of yarn required for each hat .

Answer:

=1

Step-by-step explanation:

Answer:

I don't think so because I tried it and that's what I got

Step-by-step explanation:

Answer:

No, it is not. A reasonable product is 31,770.

Step-by-step explanation:

Ever heard of a calculator? It's way faster.

45 x 100 = 4,500

4,500 x 7 = 31,500

45 x 6 = 270

31,500 + 270 = 31,770

Answer:

wat happened to yoi

are u fine

Answer:

I think it's false.

In mathematics, a function is a binary relation between two sets that associates every element of the first set to exactly one element of the second set.

6 has a relation to 5 and 10.

Answer:

No it's not a function

Step-by-step explanation:

Answer:

125, 250, 500, 625

Step-by-step explanation:

As you can see, half of the pool is 500. 2 halves would make a whole, concluding the pool is 1000. Then for the 1/8, do 1000/8. Getting 125. 1000/4 would make it 250. And then taking the 125 from the earlier division of 8 and multiplying by 5 will get you 625. Hope this helps <3

Answer:

The data that we have is:

For each diamond, you earn 100 points.

If you complete the level in less than 2 minutes, you earn a bonus of 75 points.

You want to earn more than 1575 points.

Now, assuming that you want to write and solve n inequality that represents the numbers d of diamonds you must collect in less than 2 minutes to advance to the next level.

Because you end in less than 2 minutes, then you have the bonus of 75 points.

Then the number of points as a function of d, the number of diamonds, is:

P(d) = 100*d + 75

And you want that:

P(d) > 1575

100*d + 75 > 1575

Now we can solve this for d.

100d > 1575 - 75

100d > 1500

d > 1500/100

d > 15

You must collect more than 15 diamonds.

Answer:

C: 25

Step-by-step explanation:

8 + 16 +1

Solve and yous should get.

25

Answer:

my family has six people so 75.76 days

Step-by-step explanation:

multiply 4.4 with the number of people in your family, then divide 2000 by that number

example:

4.4 x 6= 26.4

2000/26.4 = 75.75 which rounds to 75.76

Answer:

it is x=16

Step-by-step explanation:

Answer:

500 = 100%

20% = 60

Step-by-step explanation:

300 = 60%

50 = 10%

500 = 100%

100% = 300

10% = 30

20% = 60

Hope this helps!

Answer:

60% of 750 = 300

60 out of 300 = 20%

I hope that this can help you ^‿^

Answer:

Nathan earned 100 points. he lost the trivia game by 5 points.

Step-by-step explanation

3[tex]\frac{1}{3}[/tex] * 33 = 110 points earned

[tex]\frac{1}{2}[/tex] * 20 = 10 points lost

110-10 = 100

Nathan earned 100 points. he lost the trivia game by 5 points.

-3x+7

Step-by-step explanation:

The entire function f is being multiplied by -1, -1 isn't being plugged in for x in this case.

f -1(x)= -1(3x-7)

f -1(x)= -3x+7

Answer:

Step-by-step explanation:

gross pay = 640

hourly overtime rate= 24

Overtime pay= 72

Total pay for the week= 712

Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712

Regular gross pay is that pay which the person earn on daily basis or it is a fixed amount which he gets after completing a month.

Here, We have to find out the regular gross pay which includes the daily earning of a person.

Lynda regularly works a 40-hour work week and earns $16.00 per hour.

So, her regular gross pay = number of hours × rate per hour

= 40 × $16

= $640

Hence, the gross pay = 640

Her regular gross pay is 640. the hourly overtime rate is 24. Overtime pay= 72 and Total pay for the week= 712

Learn more about Regular gross pay;

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Answer:

8:3

Step-by-step explanation:

it show that there is 8 cups of water and 3 of drink mix

Answer:

8:3

Step-by-step explanation:

yes

Answer: length = 12 width = 15

12 times 2 = 24

12 + 3 = 15

15 times two is 30

30 plus 24 is 54

Answer:

  C (and D)

Step-by-step explanation:

The multiplication property of equality says the value of the variable is unchanged when both sides of the equation are multiplied by the same value.

In A, no property of equality is involved. The two equations are for different lines.

In B, the subtraction property of equality is used to subtract 9 from both sides of the equation.

In C, the multiplication property of equality is used to multiply both sides of the equation by 3.

In D, the division property of equality is used to divide both sides of the equation by 5. (This is equivalent to using the multiplication property to multiply both sides of the equation by 1/5.)

__

If you're allowed one choice, the best selection is C. If multiple choices are allowed, both C and D are correct answers.

For every 1 part blue paint, there  

✔ is 1 part

yellow paint.

Jamaal is not happy with the color and adds 1 more part of blue paint. This will make the green paint more  

✔ blue

.

Answer:

I think it will fit

Step-by-step explanation:

36 + 80 = 116 which is more than 85

Answer:

320 in²

Step-by-step explanation:

Given that Lin has a drawing that has an area of 20 in², since Lin used a scale factor of 4 to increase all sides, therefore the new area would be increased by the following:

Square of scale factor of the side = scale factor of area

4² = scale factor of area

16 = scale factor of area

Multiply the original area by 16

20 × 16 = 320 in²

Answer:

hope it helps you

Step-by-step explanation:

Let

A be the set of students in art class

B be the set of students in dance class

n(A) = 35    

n(B) = 57      

a) When 2 classes meet at different hours and n(A ∩ B) = 12 we have:

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = 35 + 57 - 12 = 80

b) When two classes meet at the same hour we have A∩B = ∅ that is n(A ∩ B) = 0 and

n(A ∪ B) = n(A) + n(B) - n(A ∩ B) = n(A) + n(B)  = 35 + 57 = 92

Answer:

x*2=Chris

Step-by-step explanation:

It could be =C or something like that but since Maya is buying X carrots and Chris is buying twice that amount then it would be x*2=Chris

Answer:

millions

Step-by-step explanation:

Its millions because the 4 is hundred thousands

Answer:

m<A = 10

Step-by-step explanation:

Answer:

10 degrees

Step-by-step explanation:

See https://brainly.com/question/11662137?referrer=searchResults