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3 years ago

Evaluate the sine, cosine, and tangent of the angle without using a calculator. θ = − 10π 3

1 answer:

4 0

Determine the quadrant adding or subtracting periods -10pi/3+2pi=-4pi/3+2pi=2pi/3
which is the second quadrant because
first quadrant is between 0 and pi/2
second quadrant is between pi/2 and pi
third quadrant is between pi and 3pi/2
fourth is between 3pi/2 and 2pi
now we find the terminal angle since it is the second quadrant we use theta'=pi-theta=pi-2pi/3=pi/3
sin(pi/3)=sqrt(3)/2 sin is positive in the second quadrant
cos(pi/3)=-0.5 cos is negative in the second quadrant
tan(pi/3)=sin(pi/3)/cos(pi/3)=-sqrt(3) tan is negative in the second quadrant

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1/3v= -5 What is the value if v?

beks73 [17]

Given:

$\frac{1}{3}v=-5$

To get rid of the fraction, we can multiply both sides by the denominator, which is 3. This will cancel the fraction:

$3(\frac{1}{3}v)=3(-5)$

We are left with:

$v=-15$

3 0

2 years ago

Read 2 more answers

Will award brainliest

Ostrovityanka [42]

Infinite solution Bc both sides are equal

8 0

2 years ago

Can someone smart please help me?

ollegr [7]

Hello!

For a:

How I would do this, is I would first say if all 46 animals (heads) were chickens, how many legs would there be? Each chicken has 2 legs, so 46 * 2 = 92. The total amount of legs is 96 as stated in the question, so if all of the animals were chickens, the farmer would be 4 legs short.

Now to add rabbits into the equation. Rabbits have 4 legs, and chickens have 2. You want to find the difference between the two, because as you add rabbits to the animals the farmer has, then you have to take away chickens at the same time. 4-2 = 2, so for each rabbit you replace, you add 2 legs.

Since the farmer is 4 legs short with all chickens, then you just divide that 4 by the 2 legs you add by replacing a chicken with a rabbit.

4 / 2 = 2 rabbits

So that means there are 2 rabbits. Since there are 46 heads in total, if 2 are rabbits, that means there are 44 chickens.

So there are 44 chickens and 2 rabbits.

b)

You can follow the same steps: I'm assuming all are child tickets for now:

3.05 * 100 = $305

And now you find how much money short you are.

498.6 - 305 = 193.6

Next, you find the difference in the ticket costs.

5.25 - 3.05 = 2.20

And you divide to find the number of adult tickets.

193.6 / 2.2 = 88

Since 100 tickets were sold, and 88 adult tickets were sold, that means 12 child tickets were sold.

7 0

2 years ago

Find the slope of the line that passes through (23, -30) and (-7, 18).

babymother [125]

Answer:

slope = - $\frac{8}{5}$

Step-by-step explanation:

Calculate the slope m using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (23, - 30) and (x₂, y₂ ) = (- 7, 18)

m = $\frac{18-(-30)}{-7-23}$ = $\frac{18+30}{-30}$ = $\frac{48}{-30}$ = - $\frac{8}{5}$

6 0

2 years ago

Suppose a triangle has two sides of length 3and 4 and that the angle between these two sides is 60. What is the length of the th

tangare [24]

9514 1404 393

Answer:

A. √13

Step-by-step explanation:

You can make an educated guess and come to the right conclusion.

The triangle is nearly an equilateral triangle. A triangle with two sides 3 and an angle of 60° would have a third side of 3. A triangle with two sides of 4 and an angle of 60° would have a third side of 4.

So, the third side must be between 3 and 4. Here is an evaluation of the answer choices:

A -- between 3 and 4, the correct choice

B -- 3, too short

C -- 1.73, too short

D -- more than 4, too long

The question can be answered using your triangle solver app on your calculator, or using the Law of Cosines.

c = √(a^2 +b^2 -2ab·cos(C))

c = √(3^2 +4^2 -2·3·4·(1/2)) = √(9 +16 -12)

c = √13 . . . . . length of the side opposite the 60° angle

5 0

3 years ago