find the value of each variable using sine and cosine. round your answers to the nearest tenth​

Find The Value Of Each Variable Using Sine And Cosine. Round Your Answers To The Nearest Tenth

Answers

Answer 1

Answer:

x=9.5 and y=15.3

Step-by-step explanation:

to find x you do sine of 32 = x/18 because the sine is opposite/hypotenuse

you put in a calculator sine (32) x 18 and get 9.538546756

so x equals 9.538546756 but it says to round to the nearest tenth so x equals 9.5

to find y you do the cosine of 32 = y/18 because cosine is adjacent/hypotenuse

cosine of (32) x 18 = 15.26486573 so you equals 15.26486573 but since you have to round to the nearest tenth y = 15.3

Answer 2

The value of x is 9.54.

The value of y is 15.3.

What are trigonometric identities?

There are three commonly used trigonometric identities.

Sin x = Perpendicular / Hypotenuse

Cosec = Hypotenuse / Perpendicular

Cos x = Base / Hypotenuse

Sec x = Hypotenuse / Base

Tan x = Perpendicular / Base

Cot x = Base / Perpendicular

We have,

From the figure,

Sin 32 = x / 18

Cos 32 = y / 18

Now,

Sin 32 = 0.53

Cos 32 = 0.85

Now,

0.53 = x / 18

Multiply 18 on both sides.

x = 0.53 x 18

x = 9.54

0.85 = y / 18

Multiply 18 on both sides.

y = 0.85 x 18

y = 15.3

Thus,

The value of x is 9.54.

The value of y is 15.3.

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Related Questions

Drag each tile to the correct box.
Match each equation with its solution.

x = -0.4
x = 10
x = 2
x = -10
Equation
Solution
x − 6 = -4
arrowRight
x + 3 = -7
arrowRight
5x = -2
arrowRight
0.5x = 5
arrowRight

Answers

x - 6 = - 4

Answer: x = 2

x + 3 = -7

Answer: x = -10

5x = -2

Answer: x = -0.4

0.5x = 5

Answer: x = 10

The solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

Solving equations

Given the following equations

x − 6 = -4

Add 6 to both sides

x - 6 + 6 = -4 + 6

x = -4 + 6

x = 2

For the equation x + 3 = -7

Subtract 3 from both sides

x + 3 -3 = -7 - 3

x = -10

For the equation 5x = -2

x = -2/5

x = -0.4

For the equation

0.5x = 5

x = 5/0.5

x =10

Hence the solutions to the equations as arranged are 2, -10, -0.4 and 10 respectively

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Simplify the expression 2(10) + 2(x-4)

Answers

Answer:

Hello! :) have a good day!

2x + 12

Answer:

First: Multiply the numbers

2 x 10 + 2 (x -4)

20+2(x-4)

Secondly: Distribute

20+2(x-4)=

20 + 2x - 8

Thirdly: Subtract the numbers

20 + 2x - 8=

12 + 2x

Lastly: Rearrange terms

12 + 2x

2x + 12

And that would leave us with our answer 2x + 12!

round 3 2/3 to the nearest whole number ​

Answers

Answer:

3 2/3 can be converted into proper fraction like this

3*3+2←numerator

3 itself ← denominaor

So, we have 11/3

Nearest to 11/3 will be 4

A woman buys a pair of shoes at a sale. She pays $45, saving $15 on the normal price. The percentage discount on the pair of shoes is

Answers

Step-by-step explanation:

this is the answer i hope to get full mark

The percentage of the discount is %25.

This is because 15 is %25 of 60(full price)

Hope this helps! Have a great day! :)

14) x - 27 0
3
X^3-27=0
X^3-27=0

Answers

Answer:

For the top equation, x = 27 (I think you meant to put x - 27 = 0. If not, I can always edit my answer for you)

For the bottom, x = 3

Hope this helps! Have a grrrreat day lol

You roll a 6-sided die.




What is P(2)?

Write your answer as a fraction or whole number.

Answers

Answer: The probability of rolling a 2 on a 6-sided die is 1/6.

Step-by-step explanation:

The probability of getting 2 on the die P(2) is 1/6.

What is probability?

Probability is the chance of occurrence of a certain event out of the total no. of events that can occur in a given context.

Given, We roll a six-sided die,

So, Sample space N(S) = 1, 2, 3, 4, 5, 6 = 6.

N(2) = 1

∴ The probability of getting the number 2 when we throw a die is

P(2) = N(2)/N(S).

P(2) = 1/6.

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In the diagram below, the horizontal lines are parallel. Find the value of x

Answers

Answer:

128

Step-by-step explanation:

180 - 52

Angle is comparing the price of each shirts for summer camp at two companies.. Company A charges an initial fee of $50 and $12 per shirt Company B charges and initial fee of $10 and $15 per shirt. Evaluate the expressions 50 + 12x and 10 +15x =40 to find the total cost to print 40 shirts at each company. What is the difference in cost between the companies

Answers

Answer:

Company A's cost would be $530

Company B's cost would be $610

difference is $80

Step-by-step explanation:

Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם

Answers

Answer:

The equation is in standard form

Step-by-step explanation:

Hope this helps

a shopper pays $45 for 3 packs of t shirts. if each pack costs the same amount and contains 5 tshirts what is the cost per t shirt
A: $3
B: $6
C: $8
D: $9​

Answers

Answer:

$3

Step-by-step explanation:

45/3=15

15/5=3

b. 3.3 x 0.8 =
3 3
х
8

Answers

Answer: the answer is 2.64 or 264

Explanation: if you multiply 3.3 × 0.8=264 but if you mulyiply 33×8=264

Help on this will mark brainalist!

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

Slope-intercept form is...

y = mx + b

To get the slope, you have to use the formula...

(y2 - y1) / (x2 - x1)

In this case,

y2 = 2

y1 = 10

x2 = 6

x1 = 10

So...

(2 - 10) / (6 - 10)

= -8 / -4 = 2

Therefore, slope is 2

y = 2x + b

Using any of the two x and y value provided, input the values in the equation

(I'm going to use 6,2)

2 = 2(6) + b

2 = 12 + b

b = -12 + 2

b = -10

Put this all together...

y = 2x - 10

Hope this helps :)

Let me know if there are any mistakes!!

Solve The systems of equation using any method
4×+3y=2 3x-3y=-9​

Answers

x = -1, y= 2 is the correct answer

if 4 shirts and 3 ties cost 241. and 3 shirts and 4 ties cost 200. what is the cost of 1 shirt and 1 tie?​

Answers

Answer:

cost of 1 tie = 11

cost of 1 shirt = 52

Step-by-step explanation:

Pls help me with this

Answers

Answer:

the third one!

Step-by-step explanation:

Because it says, the SUM of the number, x (or z I can't really see it well) and 1/2, you must add those two together:

1/2 + x

Then it says those two numbers equal to 4, so it would look like this:

1/2 + x = 4

Because you are trying to isolate, and solve for x, you must SUBTRACT 1/2 from both sides of the equal sign:

1/2  +  x  =  4

-1/2            -1/2

1/2 minus 1/2 would result 0, so there would be x by itself. and 4 minus 1/2 would be 3 and a half ( 3  1/2), so x would be  3  1/2

x = 3 1/2

Hope this helped. If this is incorrect please specify so I can help :)

Darren wants to save 1,125 for his vacation. When he saved 3 times as much as he has already saved, he will need only 27 more. how much has he saved so far​

Answers

Answer:

125

Step-by-step explanation:

the answer is 125. hope helped bye

PLEASE HELP ITS OVERDUE PLEASE I NEED HELP!!

Answers

Answer:

B

Step-by-step explanation:

it has a line of 1/12 so every shirt is $12

Find the missing lengths or missing angles.

Answers

Answer:

M = 70° ( base angles of isosceles triangles are equal)

Answer: M = 70° ( base angles of isosceles triangles are equal)

Step-by-step explanation:

What is the length of side c?
13cm
5cm
с
C=
cm

Answers

The answer should be 18 centimeters

If i am wrong I am sorry

The third leg of the right-angle triangle will be 12 cm.

What is a right-angle triangle?

It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.

The Pythagoras theorem states that the sum of two squares equals the squared of the longest side.

The Pythagoras theorem formula is given as

H² = P² + B²

The hypotenuse of the right-angle triangle is 13 cm and the perpendicular of the right-angle triangle is 5 cm.

Then the measure of the third side (B) of the right-angle triangle will be

13² = 5² + B²

169 = 25 + B²

 B² = 169 - 25

 B² = 144

   B = 12

Thus, the third leg of the right-angle triangle will be 12 cm.

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What is A number y divided by 9 is less than or equal to 17?

Answers

Answer:

the answer to what divided by 9 equals 17 is 153. You can prove this by taking 153 and dividing it by 9, and you will see that the answer is 17

Mr. Clauson bought boxes of lights to decorate his house for the holidays. He used 998 boxes containing 24 lights per box. How many lights did Mr. Clauson use to decorate his house?

Answers

Answer:

23952

Step-by-step explanation:

Answer:

23952

Step-by-step explanation:

so you would multiply 998 by 24 to get the answer


Sagar sold a watch at Rs.400 that he had purchased at Rs.500.what is his
percentage loss?
a. 15%
b. 20%
c.25%
d. 30%​

Answers

The answer is c. 25%

Explanation:

Original price (OP): $500
Selling price (SP): $400

Percentage loss:
= (OP - SP)/OP x 100%

= (500-400) / 400 x 100%

= 100/400 x 100%

= 1/4 x 100%

= 25%

The loss percentage is 20%.

We have the following information available from the question is:

Saggar sold a watch at Rs.400 that he had purchased at Rs.500.

We have to find the Percentage loss.

Now, According to the question:

Cost price of watch is (CP): $500

Selling price of watch is (SP): $400

Loss percentage= Loss/CP x 100.

Loss = C.P. - S.P.

Loss = 500 - 400

Loss = $100

Plug all the values in the formula of loss percentage.

Loss percentage = 100/500 x 100

Loss Percentage is 20%

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SOMEONE PLS HELP WITH THIS! Picture is provided

Answers

Step-by-step explanation:

to simplify this try making table and substitute the value of X and get y

If m∠AEB = 88°, find m∠AED

Answers

Answer:

fjruehbrehjfg

Step-by-step explanation:

h3efhrifhe

Find the equation of a line parallel to y = x – 3 that contains the point (-2, 1).
Yeah

Answers

Answer:

The equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

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

The graph of both the parallel equation is shown below to make you further understand the concept.

Step-by-step explanation:

The slope-intercept form of the line equation

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

where

[tex]m[/tex] is the slope[tex]b[/tex] is the y-intercept

Given the equation

[tex]y = x - 3[/tex]

comparing with the slope-intercept form of the line equation

Slope m = 1

Important Tip:

As the parallel lines never intersect, therefore, they have the same slopes.

Thus, the slope of the parallel line is also 1.

As the parallel line contains the point (-2, 1).

so substitute m = 1 and (-2, 1) in the slope-intercept form of the line equation to determine the y-intercept of the parallel line

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

[tex]1 = 1(-2) + b[/tex]        ∵ (x, y) = (-2, 1) and m = 1

[tex]1 = -2 + b[/tex]

switch sides

[tex]-2+b = 1[/tex]

add 2 to both sides

[tex]-2 + b + 2 = 1 + 2[/tex]

simplify

[tex]b = 3[/tex]

Thus, the y-intercept b of the parallel line is:  b = 3

now substitute b = 3 and m = 1 in the slope-intercept form of the line equation to determine the  equation of the parallel line

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

[tex]y = (1)x + 3[/tex]

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

Therefore, the equation of a line parallel to y = x - 3 that contains the point (-2, 1) is:

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

The graph of both the parallel equation is shown below to make you further understand the concept.

From the graph:

The green line represents the equation y = x - 3 The black  line represents the parallel equation y = x + 3

It is clear that both lines are parallel.

Juan wants to eat fewer than 800
Calories at lunch. The table shows the
menu at the school cafeteria with the
Calorie totals listed for each item. Find
two different meal options for Juan to
choose for lunch. Then find the cost for
each meal.

Answers

The two meals are green beans and cod dogs and pizza slice and carrots the total cost is 4.85$

How do I solve × + 12, × = 15​

Answers

Answer:

27

Step-by-step explanation:

x+12

Let x=15

15+12

27

Answer:

x = 15th root of (-0.067) = -0.83482

Step-by-step explanation:

Elena finds that the length of a house on a scale drawing is 5 inches. The actual length of the house is 45 feet. What is the scale of the drawing?

Answers

Answer:

81 is the scale of the drawing.

Step-by-step explanation:

81 I think I’m not sure I used a calculator

What is the simplest form of the expression?
✓4502 +502 + 425
Assume all variables are positive.

Answers

Answer:

A. [tex] 8x\sqrt{5} [/tex]

Step-by-step explanation:

Given:

[tex] \sqrt{45x^2} + \sqrt{5x^2} + 4x\sqrt{5} [/tex]

Required:

Simplify

[tex] \sqrt{9*5*x^2} + \sqrt{5*x^2} + 4x\sqrt{5} [/tex]

[tex] 3x\sqrt{5} + x\sqrt{5} + 4x\sqrt{5} [/tex]

Add like terms

[tex] 8x\sqrt{5} [/tex]

-35 = -3x + 8 + 5x

Can someone please help me with this math problem

Answers

Answer:

22.5 i think

Step-by-step explanation:

-3x + 8 + 5x = - 35

add like terms

2x + 8 = -35

subtract 8 on both sides

2x  = 43

divide by 2

22.5

Answer:

22.5

Step-by-step explanation:

add subtract and multiply on a algebra calcutalor aka mathpapa dowload it and it should help

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