on a unit circle, what is tan for coordinates (-√2/2, √2/2)?

a.) -1
b.) -√2/2
c.) 1
d.) √2/2
e.)√2​

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Remember that tangent is the ratio of sine over cosine.

[tex]\tan(\theta)=\frac{\sin(\theta)}{\cos(\theta)}[/tex]

In the unit circle:

Sine refers to the y-coordinate. Cosine refers to the x-coordinate.

Our x-coordinate is -√2/2 and our y-coordinate is √2/2.

So, substitute -√2/2 for cosine and √2/2 for sine. This yields:

[tex]\tan(\theta)=\frac{\sqrt2/2}{-\sqrt2/2}[/tex]

Since the numerator and the denominator are the same save for a negative, we can cancel them:

[tex]\tan(\theta)=-1[/tex]

So, our answer is A.

Answer 2

Answer:

your correct answer cuz is

A

Step-by-step explanation:


Related Questions

Evaluate the expression below
(8.1 + 7.9)x – (25 ÷ 5)x

Answers

Answer:

11x

Step-by-step explanation:

the answer is 11x

Answer:

11x

Step-by-step explanation:

Write the expression:

"twelve less than two times a number"

Answers

Answer:

12-2x

Step-by-step explanation:

less than two times a number means 2x here is another example twenty-four times a number 24x

Answer:

12-2x

Step-by-step explanation:

Hope this helps :3

Determining Whether Lines Are Parallel Graph each pair of lines. Use slopes to determine whether the lines are parallel. A AB and CD for A(2, 1), B(1,5), C(4,2), and D(5,-2) slope of AB = C А 17-6-54-3-2- O ENEO-NWA 3 4 5 6 7 slope of CD - The lines have​

Answers

Answer:

The lines are parallel.

Step-by-step explanation:

I know that because when i graphed the line they where by each other, But when you graph the line one of the lines are longer then the other but it does not count.

Hope this helps!!! ,

                               Shadow lolbit.

P.S, can i have some friends plz!!!!!

Find the range of f(x) = -2|x2 - 3| + 7.

Answers

Answer:

f(x)<7

Step-by-step explanation:

y=−2(|x2−3|)+7

y=−2(|x2−3|)+7

123x23 312x32 standard algorithm

Answers

Answer:

123x23=2829 312x32=9984

Step-by-step explanation:

Someone come try to hit my ovh off booters only if do i give brainliest and 100 points and this account name

Answers

Answer:

?

Step-by-step explanation:

Use the rational exponent property to write an equivalent expression for Vn+ + 3 – 12.​

Answers

Answer:

hi

Step-by-step explanation:

Answer:

Vn-9

Step-by-step explanation:

calculate the difference

A forklift has a maximum carrying capacity of 1,400 pounds. a. Each box at the warehouse weighs 50 pounds. Write an inequality to show the number of boxes that the forklift can hold. b. A 150-pound crate is used to hold the boxes on the forklift. What is the maximum number of boxes that the forklift can carry in the crate?

Answers

Answer:

a. 50x ≤ 1400 boxes

b. 25 boxes

Step-by-step explanation:

A forklift has a maximum carrying capacity of 1,400 pounds.

a. Each box at the warehouse weighs 50 pounds. Write an inequality to show the number of boxes that the forklift can hold.

Let the weight of this box be represented as x

Hence, the inequality to show the number of boxes the forklift can hold us

50 pound × x ≤ 1400 pounds

50x ≤ 1400

b. A 150-pound crate is used to hold the boxes on the forklift. What is the maximum number of boxes that the forklift can carry in the crate?.

We know already the maximum load the forky can carry is 1400

Hence, our equation is:

150 + 50x ≤ 1400

50x ≤ 1400 - 150

50x ≤ 1250

x ≤ 1250/50

x ≤ 25

The maximum number of boxes the forklift can carry in the crate is 25 boxes

Carlos travelled a certain distance from home to the campgrounds on his dirt bike at a speed of 50 km/h and returned at a speed of 60 km/h. How can carlos find the distance between his home and the campgrounds if the total time traveling was 11 hours.

Answers

Answer:

110km

Step-by-step explanation:

"Carlos travelled a certain distance from home to the campgrounds on his dirt bike at a speed of 50 km/h and returned at a speed of 60 km/h. How can carlos find the distance between his home and the campgrounds if the total time traveling was 11 hours"

Given data

initial speed u=50km/h

final speed v=60km/h

time taken t=11hours

change in speed= 60-50

=10km/h

we know that the expression for speed is given as

speed= distance/time

let the distance be x

10=x/11

x= 10x11

x=110km

Therefore the distance is 110km

At the end of a card game, James scored −16 points, and Alexis scored −10 points. Enter an inequality in the box to compare the points James and Alexis scored.

Answers

Answer:

-16 < -10

-10 > -16

Step-by-step explanation:

James = -16

Alexis = -10

-16 < -10

This means, James scored less than Alexis at the end of the card game

-10 > -16

This means Alexis scored more than James at the end of the card game

The inequality that compares the points Alexis and James scored could either be any of the following:

-16 < -10

-10 > -16

A tree in Sam's backyard was approximately 14 ft tall. The height of the tree is increasing at an average rate of .003 ft per month. Which function can be used to find the height of the tree in x months since it was measured?

Answers

Answer:

[tex]f(x)=0.003x+14[/tex]

Step-by-step explanation:

Let the linear function to represent the height of tree be:

[tex]f(x) =mx+c[/tex]

Where [tex]x[/tex] is the time in months

[tex]m[/tex] is the rate of change in the height of tree each month.

[tex]c[/tex] is the initial height of the tree.

Here, we are given that:

The initial height of the tree is 14 ft.

Increase in the height = 0.003 ft per month

Putting the values in the equation of function:

[tex]f(x)=0.003x+14[/tex]

So, the function [tex]f(x)=0.003x+14[/tex] can be used to find the height of tree in [tex]x[/tex] months since it was measured.

f(x)=12x^4-4√x+7/x^2

Derivative Power Rule

Answers

Answer:

(1-14/x3) 6/(x+ 7/x2)1/2

Step-by-step explanation:

A recipe uses 3 eggs for every 8 cups of flour. What is the ratio of eggs to flour in the recipe?
8 to 3
StartFraction 3 over 8 EndFraction
3 to 11
8:3

Answers

Answer:

3 to 8

Step-by-step explanation: It cannot be further simplified so 3 eggs to 8 cups or 3:8 ratio


Solve the following
equation:
8(x – 3) + 15 = 55


X=4
X=8
No solution
Infinite solutions

Answers

I think it’s 8 if not sorry
See the attachment for answer

Which inequality represents the situation “the temperature should be at least 40 degrees"?

Answers

The answer is G

Explanation:

Ten less than half a number is 76. What is the number?

Answers

We have that for the Question "Ten less than half a number is 76. What is the number?" it can be said that the number is

x=172

From the question we are told

Ten less than half a number is 76. What is the number?

 

Generally the equation for the Statement  is mathematically given as

[tex]x/2-10=76\\\\Therefore\\\\x/2-10=76\\\\x/2=76+10\\\\x=2*(86)\\\\x=172\\\\[/tex]

Therefore

The number is

x=172

For more information on this visit

https://brainly.com/question/19007362

Marta and Guadalupe are saving for a car. Marta has $500 in her bank account when Guadalupe opens a bank account with zero dollars. Marta deposits $75 into her account each week for x weeks. Guadalupe deposits $95 into her account each week for x weeks. These accounts do not earn interest. Which inequality represents this situation when the amount of money in Guadalupe's account is greater than the amount of money in Marta's account?

Answers

Answer:

x>20

Step-by-step explanation:

given that

Marta has $500 in her bank account

Marta deposits $75

the total amount in the account after x weeks is

y=500+75x----------1

Guadalupe deposits $95 into her account each week for x weeks.

the total amount in the account after x weeks is

y=95x-----------2

equating 1 and 2 we have

500+75x=95x

solving for x we have

500=95x-75x

500=25x

x=500/25

x=20

the inequality is

x>20

7|3y – 4|– 8 = 48
Please help!

Answers

Answer: y=4 or y= 4 over 3

Step-by-step explanation:

Answer:

y=4

Step-by-step explanation:

Prove: ∠JNM ≅ ∠NMI

According to the given information in the image, segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem. Because ∠LNK and ∠NMI are corresponding angles, they are congruent according to the Corresponding Angles Theorem. Finally, ∠JNM is congruent to ∠NMI by the Transitive Property of Equality.

Alternate Interior Angles Theorem
Corresponding Angles Theorem
Vertical Angles Theorem
Same-Side Interior Angles Theorem

Answers

Answer:

Alternate Interior Angles Theorem

Step-by-step explanation:

To put it simply; they are both internal angles. N is the internal line and as both JNM and NMI are angles that use the line N both are interior angles. They are clearly on oppisite sides of the line N, making them "Alternate Interior Angles".

Just took the test. :)

The answer is the Alternate Interior Angles Theorem option first is correct.

What are vertically opposite angles?

It is defined as the angles when two lines intersect each other and at the intersecting point, some pair of angles are formed which we call vertically opposite angles, as the name describes that they have vertically opposite angles.

The missing figure is attached in the picture please refer to the picture.

We have:

Segment JK is parallel to segment HI while ∠JNM and ∠LNK are vertical angles. ∠JNM and ∠LNK are congruent by the Vertical Angles Theorem

As we know,  both angles have internal angles. Since JNM and NMI are angles that both employ the internal line N, they are both interior angles. N is the internal line.

Thus, the answer is the Alternate Interior Angles Theorem option first is correct.

Learn more about the vertically opposite angles here:

brainly.com/question/24287162

#SPJ2

is a slope of 2/3 positive or negative?

Answers

Answer:

The slope is gonna be positive

In the diagram shown, what is the measure of angle BAC?

Answers

Answer:

Option (B)

Step-by-step explanation:

By exterior angle theorem,

Exterior angle of a triangle is equal to the sum of two opposite interior angles.

By the given theorem,

8x - 30 = (4x + 8) + (2x + 2)

8x - 30 = 6x + 10

8x - 6x = 40

2x = 40

x = 20

m∠BAC = (2x + 2) = (2×20) + 2

                              = 42°

Therefore, Option (B) will be the answer.

Which value of x makes the equation 3+0.75(x-2)=0.5(x+20)

Answers

Answer:

x = 34

Step-by-step explanation:

We need to find the value of x in the given equation :

3+0.75(x-2)=0.5(x+20)

Solving as follows:

3+0.75x-1.5=0.5x+10

Taking like terms together,

3-1.5-10=0.5x-0.75x

-8.5=-0.25x

[tex]x=\dfrac{8.5}{0.25}[/tex]

x = 34

So, the value of x is 34.

whats 3 plus 3
please help

Answers

Answer: 6

Explanation: 3+3=6

What is the slope and y-intercept?

Answers

a. slope = -2/3; y-intercept = 2

The points on the graph are (3, 0) and (0, 2)

3 - 0 = 3

0 - 2 = -2

Rise/run = -2/3

whats 2 plus 2 you get 100 points

Answers

Two plus two is four :)

Thanks for the points!

Answer:4

Step-by-step explanation:

howdy

is 3+x=x+3 infinite,one solution, or no solution​

Answers

Answer:

Infinite solutions

Step-by-step explanation:

If we subtract 3 from both sides we get:

x = x

If we subtract x from both sides of that, we get:

0 = 0.

Well... 0 is ALWAYS equal to 0, so there is no answer that can make that statement invalid, meaning that all numbers are solutions.

-6x + 5(-2x - 11) = 137

What is x equal to?

Answers

Answer:

x=−12

Step-by-step explanation:

−6x+5(−2x−11)=137

Step 1: Simplify both sides of the equation.

−6x+5(−2x−11)=137

−6x+(5)(−2x)+(5)(−11)=137(Distribute)

−6x+−10x+−55=137

(−6x+−10x)+(−55)=137(Combine Like Terms)

−16x+−55=137

−16x−55=137

Step 2: Add 55 to both sides.

−16x−55+55=137+55

−16x=192

Step 3: Divide both sides by -16.

−16x/−16=192/−16

Answer:

-6x-10x-55=137

-16x-55=137

-16x=137+55

-16x=192

X=192/16

X=12

Can someone help me on question 12 please

Answers

Answer:

I think it is i

Step-by-step explanation:

The formula is 2(l+w)

2(13+8)

2(13)=26

2(8)=16

26+16=42

What is the solution to this equation?
5x - 32x - 9

Answers

Answer:

x = -2 :)

Step-by-step explanation:

5x - 3 = 2x - 9

3x = -6

-6/3 = -2

Answer:

x = -2

Step-by-step explanation:

I dunno which one to answer so I'll do both. (the question you posted or the picture??)

5x - 32x - 9

First we can combine the like terms 5x and -32x. Which is -27x

We can't combine -9 with anything so it stays the same.

-27x - 9

________________________________

5x - 3 = 2x - 9

-2x        -2x      

3x - 3 = -9

Here I subtracted -2 from both sides.

3x - 3 = -9

    +3    +3

3x = -6

Divide both sides by 3 to isolate the variable.

x = -2

(sorry this is so long) Hope this helps and have a great day!

How can I answer 50x2+15x2 in words I need an answer

Answers

Answer:

fity times two plus fifteen times 2 is ...

Step-by-step explanation:

Answer:

fifty times two plus fifteen times two

Step-by-step explanation:

If this helps may i plz have brainliest :)

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