if sin x equal to a/b
what is sin(90-x)​

Answers

Answer 1

Answer:

[tex] \sin(x) = \frac{a}{b} \\ \sin(90 - x) = \sin(90) \cos(x) - \cos(90) \sin(x) \\ \sin(90 - x) = \cos(x) \\ { \sin(x) }^{2} + { \cos(x) }^{2} = 1 \\ { \cos(x) }^{2} = 1 - {( \frac{a}{b})}^{2} = \frac{ {b}^{2} - {a}^{2} }{ {b}^{2} } \\ \cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ \sqrt{ {b}^{2} } } \\ \boxed{ \sin(90 - x) =\cos(x) = \frac{ \sqrt{ {b}^{2} - {a}^{2} } }{ b} } \\ [/tex]

Answer 2

The value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Given that, sinx=a/b.

We know that, sinθ=Opposite/Hypotenuse

Here, Opposite = a and Hypotenuse = b

Let the adjacent side be x.

Here, x=√(b²-a²)

Given that, sin(90°-x)​ = cosx

Now, cosx=x/b

cosx=√(b²-a²)/b

Therefore, the value equal to the given trigonometric expression sin(90°-x)​ is √(b²-a²)/b.

Learn more about the trigonometric ratios here:

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Related Questions

Simplify: |7 – 9| + (7 – 9)^2​

Answers

Answer:

6

Step-by-step explanation:

Following PEMDAS ( parentheses, exponents, multiplication, division, addition, subtraction)

| 7 - 9 | + ( 7 - 9 ) ^ 2

| 7 - 9 | + -2 ^ 2

| 7 - 9 | + ( -2 x -2 )

| 7 - 9 | + 4

| -2 | + 4

2 + 4

6

If line m is perpendicular to line n, and the slope of line m is -5/3, what is the slope of line n? Write in simplest form.

Answers

Answer:

Step-by-step explanation:

Slope of perpendicular line = [tex]\frac{-1}{m}[/tex]

       = -1 ÷ [tex]\frac{-5}{3}[/tex]

        [tex]= -1 *\dfrac{-3}{5}\\\\=\dfrac{3}{5}[/tex]

Anyone willing to help? I have to submit it tmr

Answers

Answer:

here's your answer

hope it helps

(look at attachment)

These triangles are similar. Find the missing
length.

Answers

Answer:

h=57

Step-by-step explanation:

The triangles seem to have a pattern, which is that the numbers on the left are multiplied by 1.5 to get the numbers on the right. We figured this out by doing 42/28 and 54/36 (which are the corresponding numbers), which would both equal 1.5. Now to find h we would do the opposite of divide which is multiply, we would do 38*1.5 and get 57.

A figure with coordinates J ( − 12 , 16 ) , K ( − 4 , − 3 ) , L ( − 2 , 16 ) , M ( 1 , 0 ) is dilated by a scale factor of 4 with the origin as the center of dilation. Fill in the coordinates of J ′ of the figure after dilation.

Answers

Answer:

Solve by multiplying a scale factor of 4 to each coordinate

Step-by-step explanation:

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64)

Dilation of coordinates

Dilation is a transformation technique used to change the size and shape of an object on a xy-plane.

Given the following coordinate point of a figure JKLM:

J (− 12 , 16 ),

K ( − 4 , − 3 )

L ( − 2 , 16 )

M ( 1 , 0 )

If the coordinate of J is dilated by a scale factor of 4, the resulting coordinate of the figure J' will be at (-48, 64).

Learn more on dilation here: https://brainly.com/question/10253650

A manufacturing company makes two types of water​ skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. ​Labor-Hours per 8 and 6 Ski Maximum​ Labor-Hours Department is 336 and 48 Trick Ski Slalom Ski Available per Day Fabricating Finishing 1 1 If the profit on a trick ski is ​$40 and the profit on a slalom ski is ​$​60, how many of each type of ski should be manufactured each day to realize a maximum​ profit? What is the maximum​ profit? The maximum profit is ​$ nothing. The maximum occurs when nothing trick skis and nothing slalom skis are produced.

Answers

Answer:A manufacturing company makes two types of water skis, a trick ski and a slalom ski. The relevant manufacturing data are given in the table. (A) If the profit on a trick ski is $40$ and the profit on a slalom ski is $30,$ how many of each type of ski should be manufactured each day to realize a maximum profit? What is the maximum profit? (B) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski decreases to $25$ and all other data remains the same. (C) Discuss the effect on the production schedule and the maximum profit if the profit on a slalom ski increases to $45$ and all other data remain the same.

Step-by-step explanation:

The optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

Given data:

To solve this problem, we can use linear programming techniques to find the optimal number of trick skis and slalom skis that should be manufactured each day to maximize the profit.

x = number of trick skis

y = number of slalom skis

We need to maximize the profit function: P = 40x + 60y

Subject to the following constraints:

1x + 1y ≤ 336 (Fabricating department constraint)

1x + 1y ≤ 48 (Finishing department constraint)

x, y ≥ 0 (Non-negativity constraint)

We can graphically represent these constraints on a coordinate plane and find the feasible region, which is the region where all constraints are satisfied. Then, we can evaluate the profit function at the corner points of the feasible region to find the maximum profit.

After solving this system of linear inequalities, we find that the feasible region is a triangle with vertices at (0, 48), (0, 48), and (48, 48).

Evaluating the profit function at these vertices:

P(0, 48) = 40(0) + 60(48)

= $2880

P(0, 0) = 40(0) + 60(0)

= $0

P(48, 0) = 40(48) + 60(0)

= $1920

The maximum profit is $2880, which occurs when they produce 48 slalom skis and 0 trick skis.

Hence, the optimal production plan for maximizing profit is to manufacture 48 slalom skis and 0 trick skis each day, resulting in a maximum profit of $2880.

To learn more about linear programming, refer:

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15
2) The bakers at Healthy Bakery can make 220 bagels in 2 hours. How many
bagels can they bake in 19 hours? What was that rate per hour?
???

Answers

2090

Step-by-step explanation:

220 divided by 2 hours is 110 per hour

19 times 110 equals 2090

For brainily please help

Answers

Answer:

No

Step-by-step explanation:

7 + 3 = 10, and in order for this to make a triangle two sides must be greater than one side

Answer:

No

Step-by-step explanation:

two sides, say a and b, with a greater than or equal to b, ,put limits on the length of the third side, c: a-b < c < a+b.

a-b < c < a+b.

7-3 < 10 < 7+3

4 < 10 < 10

False,

pls help
Which of the sets of ordered pairs represents a function? (5 points)

A = {(3, −5), (4, 6), (−3, 9), (2, 7)}
B = {(2, 4), (−1, −7), (5, 6), (4, 3)}

Answers

Answer: both

Unless you mistyped the first number and it’s actually -3 instead of 3 than b is the answer.

To see if they make a function you can graph all the coordinates and do the line test. Or you can look at all the numbers and see if any of the ordered pair have repeating x values. If they do, it’s not a function.

Remember, it’s (x,y) and if any X values repeat, it’s NOT a function

Josie used 1/2 of the milk for pancakes this morning. If her brother and sister divided what was left to eat cookies with their movie, what fraction of the milk did each drink?

Answers

Answer:

1/4 cup of milk

Step-by-step explanation:

= 1/2 ÷ 2

= 1/2 × 1/2

= 1/4

I NEED HELP ON THIS QUICKLY

Answers

Answer:

B) Alternate Exterior Angles

Step-by-step explanation:

They are exterior (on the outside of the the lines) and they are alternate (opposite left and right).

Answer:

Alternate exterior angles

Step-by-step explanation:

Alternate exterior angles are outside angles that lies to the opposite side.

identify the congruence transformation shown as a reflection, translation or rotation

Answers

Answer:

Counterclockwise rotation 90°

Step-by-step explanation:

first quadrant graph -> 2nd quadrant

Counterclockwise rotation 90° : (x,y) -> (-y , x)

HELPPPPPPPPPPP!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

1: 155

2: 222

3: 44

4: 132

5: 163

6: i dont know

7: 202

8:?

9: ?

hope this helped!

Step-by-step explanation:

answer:

1.)155

2.)222

3.)44

4.)132

5.)163

6.)93.92857142857142

7.)202

8.)112.9032258064516

9.)76.66666666666666

Step-by-step explanation:

Sana po makatulong( ˘ ³˘)♥︎

PLEASE ANSWER ASAPEnter the equation of the line in slope-intercept form. Slope is − 2 3 , and (−6, −5) is on the line. The equation of the line is y =

Answers

Step-by-step explanation:

there seems to be something missing.

I assume the slope of the line is -2/3.

the slope of a line is always the factor of x in the equation.

the slope is the y/x ratio indicating how many units y changes, when x changes by a certain amount of units (e.g. when going from one point on the line to another).

the equation for the line looks like this then :

y = (-2/3)×x + b

to get b we use the provided point (-6, -5) and it's x and y values.

-5 = (-2/3)×-6 + b = 4 + b

b = -9

so, the full equation of the line is

y = (-2/3)×x - 9

-2×(-2)³×(-2)×3+(-2)×3×(-1)³

Answers

Answer:

-90

Step-by-step explanation: I hope its the right answer. If not I'm sorry.... I'm just a kid...

What is the value of x if OB is
an angle bisector of

Answers

Answer:

x = 8

Step-by-step explanation:

Hi there!

We're given that OB is the angle bisector of angle AOC.

An angle bisector splits an angle into 2 equal halves. Therefore, angles AOB and BOC are equal.

We're given that angle AOB is 8x degrees and angle BOC is 16x-64 degrees.

Set up an equation:

[tex]8x=16x-64[/tex]

Combine like terms:

[tex]-8x=-64\\x=8[/tex]

Therefore, x = 8.

I hope this helps!

The product of three whole numbers is 120 how many different possibilities are there for the three whole numbers

9 different possibilities

Answers

Answer:

z. sjshshdbd.d.difffjfjfjf

Hey!

Need help please...

[tex]\sf{What~is~2x~+~16= 8.[/tex]

Answers/w explanation ✅ Nonsense answers, or answers. that I didn't ask for will be reported.

Answers

Step-by-step explanation:

[tex]{ \qquad{ \sf \green{Answer \downarrow}}}[/tex]

Subtract 16  from both sides of the equation.

[tex]{ \qquad{\longmapsto \sf \red{2x + 16 - 16 = 8 - 16}}}[/tex]

[tex]{ \qquad{\longmapsto \sf \blue{Simplify \: now}}}[/tex]

Subtract the numbers

[tex]{ \qquad{\longmapsto \sf \red{2x = 8}}}[/tex]

Divide both sides of the equation by the same term.

[tex]{ \qquad{\longmapsto \sf \green{ \frac{2x}{2} = \frac{ 8}{2} }}}[/tex]

Cancel terms that are in both the numerator and denominator

[tex]{ \qquad{\longmapsto \sf{ \qquad\longrightarrow\quad\sf \dfrac{\cancel{2x}}{\cancel{2} } = }}}\qquad\quad\sf\dfrac{\cancel{ 8}}{\cancel{2}}[/tex]

[tex]{ \qquad{\longmapsto \sf{x = {\qquad{ \sf \pink{ 4}}}}}}[/tex]

[tex]{ \red{ \rule{9cm}{0.1cm}}}[/tex]

HELLP MEEEEEE

PLEASE

Answers

Answer:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]

Step-by-step explanation:

Quadratic equation:

[tex]x = \frac{-b +- \sqrt{b^2 - 4ac} }{2a}[/tex]

The equation is:

[tex]4x^2 - 10x + 5 = 0\\[/tex]

So:

a = 4

b = -10

c = 5

Plug the variables into the quadratic equation:

[tex]x = \frac{-(-10) +- \sqrt{(-10)^2 - (4 * 4 * 5)} }{(2 * 4)}[/tex]

[tex]x = \frac{\sqrt{10 +- \sqrt{100 - 80} } }{8}[/tex]

[tex]x = \frac{10 + \sqrt{20} }{8}[/tex]

Divide both sides by 8:

10 ÷ 8 = [tex]\frac{5}{4}[/tex]

[tex]\sqrt{20}[/tex] ÷ 8 = [tex]\frac{\sqrt{5}}{4}[/tex]

[tex]\frac{5}{4}[/tex] +- [tex]\frac{\sqrt{5}}{4}[/tex]

This means that the solutions that satisfy the equation is:

x = [tex]\frac{5}{4} + \frac{ \sqrt{5} }{4}[/tex]

x = [tex]\frac{5}{4} - \frac{ \sqrt{5} }{4}[/tex]

Hope this helps!

dont understand section 3 assesment review

Answers

Answer:

13) E

14) B

15) D

16) F

17) A

18) C

Find the difference. 8.6 − 2.87

Answers

Answer:

5.73

Step-by-step explanation:

The difference is 5.73.

I need help asap!! ty​

Answers

1/3 x (2p+9)
That what I got

Answer:

17/5

Step-by-step explanation:

put the value of pi in 2/3p+3

now,

[tex] \frac{2}{3} \times \frac{3}{5} + 3[/tex]

3 cancels 3 and

2/5 +3

=

[tex] \frac{2 + 3 \times 5}{5} [/tex]

hence your answer will be 17/5

If y=6 when x=2 over 3 find x when y=12

Answers

Answer:

4/3 or 1 1/3

Step-by-step explanation:

So if y = 6, when x = 2/3. Then, x would equal 1 and 1/3, because 12 is twice the amount of 6, so you'd also multiply 2/3 by 2.

(To multiply a whole number by a fraction, first multiply the whole number by the numerator and then divide that by the denominator. For example: 2 × 2 = 4, since you can't really divide 4 by 3 it would stay as is, but you can turn it to a mixed number. 4/3 is the same as 1 whole and an extra 1/3, or in other words 1 1/3).

Hope this helped :)

no need for explanation jsut answer

Answers

Answer:

y=4 because 8x4=32

32-2 =30

30+60=90

Answer:

the value of y is 4, so 8(4)-2 are 30 , then 30 degrees are the angle

What is the slope of this line? A line passing through the points (0, 2) & (2, 1).

Answers

Answer:

m = − 1/2

Step-by-step explanation:

Use the formula to calculate the slope of the line passing through the points.

slope = (y₂ - y₁) / (x₂ - x₁)

Input the values into the formula.

Subtract the values in parentheses.

Simplify the fraction to get the slope.

Answer: y = -1/2x +2

jerome completes 8 extra credit problems and then 4 problems each day until the worksheet is done.28 problems is on the worksheet.

Answers

Answer:It will take 5 days
Explosion:28-8=20 20/4=5

please answer this question

Answers

Answer:

3rd option

Step-by-step explanation:

a point (0, y ) lies on the y- axis

a point (x, 0 ) lies on the x- axis

a point (x, y ) lies in I quadrant

a point (- x, y ) lies in II quadrant

a point (- x, - y ) lies in III quadrant

a point (x, - y ) lies in IV quadrant

Then

point (2, - 5 ) lies in IV quadrant

-----------------------------------------------------------------

We require 2 equations with the repeating digit 7 placed after the decimal point.

let x = 0.427777... ( multiply both sides by 100 and 1000 )

100x = 42.777..... (1)

1000x = 427.777.... (2)

Subtract (1) from (2), thus eliminating the repeating digits

900x = 385 ( divide both sides by 900 )

x = [tex]\frac{385}{900}[/tex] = [tex]\frac{77}{180}[/tex]

Which angles are vertical angles?
<8 and <6
<8 and <7
<8 and <5

Answers

Angle 8 and angle 5 are vertical angles

7.836 - 937 + 2.846 =.....​

Answers

Answer:

Hi There,

Your answer is -926.318

helppp
what is the slope

Answers

-1/2 I think is the slope

The slope is [tex]-\frac{3}{7}[/tex]

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