A=2(b-c) solve for b
I need help please

The ordered pair of a unit circle is represented as:

[tex](x,y) \to (\sin(\theta),\cos(\theta))[/tex]

The point where the terminal side of [tex]\tehta[/tex][tex]\theta[/tex] intersect with the unit circle is: 240

The given parameter can be represented as:

[tex](x,y) \to (-\frac{\sqrt 3}{2},-\frac{1}{2})[/tex]

This means that:

[tex]\sin(\theta) = -\frac{\sqrt 3}{2}[/tex]

[tex]\cos(\theta) = -\frac{1}{2}[/tex]

Let the angle between the x-axis and the terminal side be [tex]\alpha[/tex]

So, we have:

[tex]\theta = 180 + \alpha[/tex]

Using [tex]\cos(\theta) = -\frac{1}{2}[/tex]

The equation becomes

[tex]\cos(180 + \alpha) = -\frac{1}{2}[/tex]

Apply cosine formula

[tex]\cos(180)*\cos(\alpha) - \sin(180)*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha) - 0*\sin(\alpha) = -\frac{1}{2}[/tex]

[tex]-1*\cos(\alpha)= -\frac{1}{2}[/tex]

Divide both sides by -1

[tex]\cos(\alpha)= \frac{1}{2}[/tex]

Take arccos of both sides

[tex]\alpha= \cos^{-1}(\frac{1}{2})[/tex]

[tex]\alpha= \cos^{-1}(0.5)[/tex]

[tex]\alpha= 60[/tex]

Recall that:

[tex]\theta = 180 + \alpha[/tex]

[tex]\theta = 180 +60[/tex]

[tex]\theta = 240[/tex]

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Answer:

a. f(-12) = 10

b. f(0) = 1

c. f(4) = -2

Step-by-step explanation:

In order to find the function of each of these numbers, you just need to replace them in the function as x and then solve:

a. f(-12) = 1 - 3/4(-12)

 - f(-12) = 1 - (-36/4)

 - f(-12) = 1 + 9

 - f(-12) = 10

b. f(0) = 1 - 3/4(0)

 - f(0) = 1 - 0

 - f(0) = 1

c. f(4) = 1 - 3/4(4)

 - f(4) = 1 - 12/4

 - f(4) = 1 - 3

 - f4) = -2

26

Step-by-step explanation:

3x + 2x = 50 = 180

5x = 130

x = 26

Answer:

Step-by-step explanation:

Area of a cone is pie times radius square times height divided by 3

So it will be 3.14 x (4x4)x 9/3= 150.72

Answer:

A or C  Sorry!

Step-by-step explanation:

Answer:

r<-4

Step-by-step explanation:

when inequality is divided by a negative number the sign changes to next direction.

Answer:

Here is the answer

Step-by-step explanation:

Answer:

R' = (0,7)

Step-by-step explanation:

Answer:

I'm sorry but I can't see it lol.. maybe try taking a clear pic ya know.

Answer:

13/4

Step-by-step explanation:

Answer:

4/5

Step-by-step explanation:

Answer:

B.

Step-by-step explanation:

V = (pi)r^2h

V = 3.14 * (8 m)^2 * 28 m

V = 5626.9 m^3

Answer: B.

Answer:

Cost of each book = 14.5

Step-by-step explanation:

Given:

Total amount spend = 52.50

Cost of calendar = 9

Number of books = 3

Assume;

Cost of each book = a

Find:

Cost of each book

Computation:

Total amount spend  = Cost of calendar + Number of books(Cost of each book)

52.50 = 9 + 3(a)

Cost of each book = 14.5

Answer:

x=34

Step-by-step explanation:

132-64=

68/2=

34

PLEASE MAKE ME BRAINLIEST

Answer:

-1 because if you look you have multiple it

Step-by-step explanation:

hope this help

Answer is in the file below

tinyurl.com/wpazsebu

Answer: 3x^2-6x+1

Step-by-step explanation:

In this question, you just have to foil out the expression and multiply things out to get the results. Rewrite it if you need so you can caluate it like what I did in this picture.

Answer:

35.859375?

Step-by-step explanation: ;-;

Answer:

x(12y+4)

Step-by-step explanation:

Given:

Principal = $400

Rate of interest = 6% compounded monthly

Time = 5 years.

To find:

The amount in the bank after 5 years.

Solution:

The formula for amount is:

[tex]A=P\left(1+\dfrac{r}{n}\right)^{nt}[/tex]

Where, P is principal, r is the rate of interest, n is the number of time interest compounded in an year and t is the number of year.

Interest compounded monthly. So, [tex]n=12[/tex].

Putting [tex]P=400, r=0.06, n=12[/tex] and [tex]t=5[/tex], we get

[tex]A=400\left(1+\dfrac{0.06}{12}\right)^{12(5)}[/tex]

[tex]A=400\left(1+0.005 \right)^{60}[/tex]

[tex]A=400\left(1.005 \right)^{60}[/tex]

[tex]A\approx 539.54[/tex]

Therefore, the amount of money in the bank after 5 years is $539.54.

Answer:

$22.02

Step-by-step explanation:

3(6.75)(1.0875) = 22.021875 ≈ $22.02 (Assuming the store rounds down.)

Answer:

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

Step-by-step explanation:

Given

[tex]\angle d = 150[/tex]

See attachment for illustration

Required

Find [tex]\angle b + \angle c + \angle e =[/tex]

The sum [tex]of\ angles\ at[/tex] a point is [tex]360^\circ[/tex]

So:

[tex]\angle a + \angle b + \angle c + \angle d + \angle e = 360^\circ[/tex]

Angle a is at right angled.

So:

[tex]90 + \angle b + \angle c + 150 + \angle e = 360^\circ[/tex]

Collect like terms

[tex]\angle b + \angle c + \angle e = 360^\circ -150^\circ - 90^\circ[/tex]

[tex]\angle b + \angle c + \angle e = 120^\circ[/tex]

Answer: x squared equals y

Step-by-step explanation:

Answer:

0.188 inches

Step-by-step explanation:

Given that,

There are 5 inches of water in a bucket after 212 hours of a rainstorm

We need to find how much water will there be in the bucket after 8 hours if the rain continues at the same rate.

5 inches = 212 hours

1 hour = (5/212) inches

For 8 hours,

[tex](\dfrac{5}{212})\times 8\\\\=0.188\ \text{inhces}[/tex]

Hence, there will be 0.188 inches of water after 8 hours.

Answer:

x = 2

Step-by-step explanation:

Let me know if you have questions