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inessss [21]
3 years ago
14

An angle of -210 degree is in standard position. What are the coordinates of the point at which the terminal side intersects the

unit circle?
Mathematics
1 answer:
Lunna [17]3 years ago
4 0

Answer:

( -\sqrt{3}/2 , -1/2)

Step-by-step explanation:

-210 degrees in standard position corresponds to an angle in the 3rd quadrant  30 degrees below the negative x-axis

The hypotenuse of the triangle here is 1, and we want the coordinates.

_______________________(0,0)

|(x = -root(3)/2)

|

| (y = -1/2)

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Nancy has 2 more than twice the number of homework problems April has. Nancy has 20 homework problems. In the equation below, p
Nat2105 [25]

Answer: 9

Step-by-step explanation:

Since p is the number of homework problems April has. Since Nancy has 2 more than twice the number of homework problems April has and has 20 homework problems, this can be expressed into an equation as:

(2 × p) + 2 = 20

2p + 2 = 20

2p = 20 - 2

2p = 18

p = 18/2

p = 9

April has 9 homeworks, therefore p is 9.

3 0
3 years ago
Reggie,Alvin, and Jose are member of a relay running team. Reggie finished his leg of the race 2.45 seconds faster than Alvin an
user100 [1]
If R represents Reggie's time, the total time for the team is
.. R +(R +2.45) +(R -3.81) = 3R -1.36
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3 0
4 years ago
Consider the sets below. U = {x | x is a real number} A = {x | x is an odd integer} R = {x | x = 3, 7, 11, 27} Is R ⊂ A? yes, be
zalisa [80]

The true statement about R ⊂ A is (a) yes, because all the elements of set A are in set R

<h3>How to determine the set operations?</h3>

The sets are given as:

U = {x | x is a real number}

A = {x | x is an odd integer}

R = {x | x = 3, 7, 11, 27}

From the given sets, we can see that the elements in set R are odd numbers

This means that the set R is a subset of set A

This is represented as:

R ⊂ A

Hence, the true statement about R ⊂ A is (a) yes, because all the elements of set A are in set R

Read more about sets at:

brainly.com/question/2166579

#SPJ1

4 0
2 years ago
Please help 50 points wrong answers will be reported
AURORKA [14]

Answer:

A. y=2\sqrt{x+4}+5 is a translation of the parent function y=2\sqrt{x} 4 units left and 5 units up

Step-by-step explanation:

Consider expression \sqrt{4x+16}:

\sqrt{4x+16}=\sqrt{4\cdot (x+4)}=\sqrt{4}\cdot \sqrt{x+4}=2\sqrt{x+4}

Hence, the function is

y=2\sqrt{x+4}+5

Consider the parent function y=2\sqrt{x}

The main translations:

  • y=2\sqrt{x-a} - a units to the right;
  • y=2\sqrt{x+a} - a units to the left;
  • y=2\sqrt{x}+b - b units up;
  • y=2\sqrt{x}-b - b units down.

Hence, y=2\sqrt{x+4}+5 is a translation of the parent function y=2\sqrt{x} 4 units left and 5 units up

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3 years ago
Write an equation in slope-intercept form for each line described. Slope = 2, y-intercept = 1
Katena32 [7]

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6 0
3 years ago
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