find sin(x) if cos(x) = -22/29

Answers

Answer 1

Answer:

  sin(x) = ±(√357)/29 ≈ ±0.651533

Step-by-step explanation:

The relation between sine and cosine is ...

  sin(x) = ±√(1 -cos(x)^2)

  sin(x) = ±√(1 -(-22/29)^2) = √(1 -484/841) = √(357/841)

  sin(x) = ±(√357)/29

_____

Additional comment

The sign of the cosine is negative, which places the angle in quadrant II or III. In quadrant II, the sine is positive; in quadrant III, the sine is negative. That is, we cannot tell which sign to apply from the information given.

(20, 21, 29) is a Pythagorean triple. We suspect a typo in the question: 22 is used where 20 or 21 is likely intended.


Related Questions

Which of the following possibilities will NOT form a triangle? Side = 5 ft, side = 15 ft, side = 3 ft Side = 5 ft side = 7 ft, side = 11 ft O Side = 8 ft, side = 6 ft, side = 4 ft O Side = 3 ft, side = 11ft, side = 9ft​

Answers

Answer:

Side = 5ft Side = 15 ft side = 3 ft

Step-by-step explanation:

For what value of x is the rational expression below equal to zero? x_1/(X - 3)(x + 1)​

Answers

Answer:

A

Step-by-step explanation:

when X = 0 then

1 - 1/ (1 - 3)*(1+1)

0/ -4

0

find the slope of the line passing through each of the following pairs of points and draw the graph of the line (-1,4) -(1,3)

Answers

Answer:

Step-by-step explanation:

(-1,4) (-1,3)

formula y2-y1/x2-x1

=3-4/-1-(-1)

= -1/-2

All chi
18. How is the graph of y = 4(2}X-3 translated from the graph of
y=
= 4(2)X?
3 units up
3 units right
3 units down
3 units left

Answers

Answer:

3 units down

Step-by-step explanation: hope this helps

Hey guys ! Can anyone help me with these problems please and thanks

Answers

1)

m = 3√2√2

= 6

n = a

= 3√2

Answer = D) m = 6 , n = 32

2)

m = n = a

m = 3

n = 3

Answer = A

1) What are the next three terms in these sequences?
a) 126 122 118 114 110
b) -1 3 7 11 15
c) 1 3 9 27
D) 80 20 5 1.25

Answers

Answer:

Step-by-step explanation:

a) 126 122 118 114 110, 106, 102, 98

Hint: ( Subtract 4 from each numbers to get the next)

b) -1, 3 , 7, 11 , 15,  19, 23, 27

Hint: ( Add all through by 4)

c)  1, 3, 9, 27, 81, 243, 729

Hint: ( Multiply through by 3)

d) 80, 20 , 5, 1.25, 0.3125, 0.078125, 0.0195

Hint; (Divide all through by 4)

Rewrite this exponential equation in logarithmic form.

2x = 32

Answers

Answer:

x=16

Step-by-step explanation:

What is the slope of the line represented by this equation?
-3x + 8y = 12

Answers

Step-by-step explanation:

Turn the equation into a slope-intercept form equation:

[tex]8y=3x+12[/tex]

Divide each side by 8 to simplify y:

[tex]y=\frac{3}{8} x+1.5[/tex]

The slope is 3/8.

Using the format:

[tex]y=mx+b[/tex]

3/8 is in place of m, the slope.


The price of a train ticket from Lexington to Columbus is normally $165.00. However, the train company is
offering a special 85% discount to children under the age of 16. What is the sale price of a ticket from Lexington
to Columbus for someone under the age of 16?
O $140.25
O $305.25
O $24.75
O $34.65

Answers

1-0,85(the discount)=0,15

165$*0,15=24.75$

Mrs.Vincent had to cut the cake into 55 slices. What percent of the cake did each student get?

Answers

Answer:

1.82 %

Step-by-step explanation:

Divide 100% among 55 students

[tex]\frac{100}{55} =1.82[/tex]

Hope this helps

Answer this please for 15 points

Answers

Answer:

18/2 : 9

Step-by-step explanation:

Need help on the last problem please. Thank you

Answers

Answer:

sorry but i can not see clearly sorry

Step-by-step explanation:

i am realy realy sorry :( :(

A tortoise is walking in the desert, it walks 5 minutes at a speed of 12.5 meters per minute . For how many meters does it walk?

Answers

62.5 is the right answer

Answer:

62.5meteres

Step-by-step explanation:

using the formula speed =distance/time

12.5= ?/5

?= 12.5 × 5

? = 62.5 meters

What number is in between 6534 and 6565

Answers

Answer:

I am assuming any number in between these two, so let's just say 6,550.

Step-by-step explanation:

If you count up from 6,534, you will eventually get to 6,550. If you continue to count up, you will eventually reach 6,565 which is bigger than 6,550.

The question is in the picture.

Answers

Answer:

x = 7[tex]\sqrt{3}[/tex]

Triangle area formula: base * height * 1/2

We are given:

Base - 14 cm

Height - x

Using the pythagorean theroem (a^2 + b^2 = c^2) we can figure out the height.

We are given:

Side a - 14 / 2 = 7 cm

Side b - the height (x)

Side c - 14 (it's an equilateral triangle)

Now, substitute the given values:

7^2 + x^2 = 14^2

49 + x^2 = 196

x^2 = 147

x = [tex]\sqrt{147}[/tex]

x = 7[tex]\sqrt{3}[/tex]

Find the product. Simplify your answer.
(2v+2)(3v–2)

Multiplying Binomials.
I suck at math.

Answers

Answer:

See below.

Step-by-step explanation:

(2v+2)(3v-2)

6v²-4v+6v-4

6v²-2v-4

-hope it helps

(Also, I'm great at algebra, so let me know if you need anymore help.)

Step-by-step explanation:

2v (3v-2)+2 (3v-2)

6v^2-4v+6v-4

6v^2+2v-4

PLEASE HELP ME OUT I NEED THIS BY TODAY THANKS

Answers

Answer:

For this, you need to click the second one.

Step-by-step explanation:

You continue your journey of riding ferris wheels and decide to ride the largest ferris wheel in the world: The High Roller in Las Vegas, Nevada! The High Roller is 550 feet tall with a diameter of 520 feet and the platform making the remaining 30 feet. Your friend who really does not like heights waits for you to get off the High Roller while standing 450 feet away from you, horizontally.

Required:
If you are currently 326 feet in the air, what is the angle of depression from you to your friend?

Answers

The angle of depression from you to your friend is 54.1°

Trigonometric ratios

Trigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.

Let θ represent the angle between me in air and my friend, hence:

tanθ = 326 / 450

θ = 35.9 degrees

The angle of depression = 90 - 35.9 = 54.1°

The angle of depression from you to your friend is 54.1°

Find out more on Trigonometric ratios at: https://brainly.com/question/24349828

what is the answer to 12+56=76(56+89)=15

Answers

Answer:

false

Step-by-step explanation:

steps:

12+56=7

simplify 12+56: 68

12+56

add the numbers: 12+56=68

=68

68=7

the sides are not equal

false

Dorothy wrapped 2 presents in 4 minutes. At that rate, how many
presents would she wrap in 6 hour’s

Answers

Answer:

90

Step-by-step explanation:

2 presents per 4 minutes is 30 presents per hour multiplied by 6 hours is 90 presents

Need help solving this linear equation

Answers

Answer: (-4, -7)

Step-by-step explanation: To solve this system of equations, we can use the substitution method.

To solve a system by substitution, we first need to isolate one of our variables. The problem is none of our variables has a coefficient of 1 or -1. In this situation, we have to look at our next best option.

In our first equation, add 2x to both sides to get

2y = -6 + 2x and just divide both sides by 2 to get y = -3 + x.

Now let's plug this value of y into our second equation.

So we have 3x + 7(-3 + x) = -61.

Simplifying from here:

3x - 21 + 7x = -61

10x - 21 = -61

10x = -40

x = -4

Since we know that x = -4, we can just plug a -4 into our equation that we created earlier to get y = -3 + (-4) or y = -7.

Since x = -4 and y = -7, our answer is the ordered pair (-4, -7).

please help ill do anything 12 - 5z; z=2

Answers

Answer: the answer is 2

Step-by-step explanation:

1. 5 x 2 = 10

2. 12 -10 = 2

hope this helps!!

Solve for x in the equation X2-12x+36 = 90.
X=
O x=6+3./10
O x=6+2/7
X= 123.22
O
x= 12+3/10

Answers

Answer:

90x8+3

Step-by-step explanation:

X2-12x+36 = 90.

X=

O x=6+3./10

O x=6+2/7

X= 123.22

O

x= 12+3/10

Help me guys pleaseeeeeeeeeee

Answers

The answer for this question would be 30

Which graph represents y=
y = ?

Answers

Answer:

The horizontal line is to the y-axis

Answer this pls for 15 points

Answers

this is the answer hope it helps

Answer:

3x/(x-3) (x+1)

Step-by-step explanation:

Does anyone know if the further maths gcse will be at July or June ​

Answers

Answer:

I think june at the earliest

Answer:

Ya and you have 2 tests i think

In a recent year, 28% of all college students were enrolled part-time. If 7.2 million college students were enrolled part-time that year, what was the total number of college students? Round your answer to the nearest million.

Answers

Answer:

26 million

Step-by-step explanation:

x = total number in million

28% * x = 7.2

so x = 7.2/0.28 = 25.7 ≈ 26

calculate without using a calculator3√27+(-3√64​

Answers

Answer:

[tex] 9 \sqrt{3 } -12 \sqrt{4} \\ 3 \sqrt{9 \times 3} - 3 \sqrt{16 \times 4 } \\ from \: here \: we \: see \: that \: the \: square \: root \: of \: 9 \: is \: 3 \: and \: square \: root \: of \: 16 \: is \: 4 \: so fnal \: answer \: is \\ 9 \sqrt{3} - 12 \sqrt{4} [/tex]

Step-by-step explanation:

from the question we see root 27 and root 64

so what we do next is we look for two numbers that we can multiply together to give 27 and 64 in which one if the number is a perfect square

for root 27 we use 9 and 3

for root 64 we use 16 and 4

What is the value of the missing angle?

Answers

Answer:

x=60°

Step-by-step explanation:

The Sum of all sides of a pentagon is 540°

And in the figure there are 2 sides with 150° and 90°

Now we have,

[tex]90+90+150+150+x=540\\\\480+x=540\\\\x=540-480\\\\x=60[/tex]

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