Calculate the value of sin X to four decimal places

Calculate The Value Of Sin X To Four Decimal Places

Answers

Answer 1

Answer:

0.7241

Step-by-step explanation:

sin = [tex]\frac{opposite}{hypotenuse}[/tex]

In this case we have the hypotenuse (2.9) but not the opposite so here is how you calculate it

[tex]a^{2}+b^{2}= c^{2} \\\\2^{2}+ b^{2}= 2.9^{2} \\4+ b^{2} = 8.41\\\\\sqrt{b^{2} }= \sqrt{4.41} \\b= 2.1[/tex]

So now you have the opposite (2.1)

so now you would divide [tex]\frac{2.1}{2.9} or 0.7241[/tex]

Answer 2

Answer:

[tex] \sin X = 0.7241 [/tex]

Step-by-step explanation:

For angle X, 2.0 ft is the adjacent leg. 2.9 ft is the hypotenuse.

The trig ratio that relates the adjacent leg to the hypotenuse is the cosine.

[tex] \cos X = \dfrac{adj}{opp} [/tex]

[tex] \cos X = \dfrac{2.0}{2.9} [/tex]

[tex] \cos X = 0.689655 [/tex]

Since we now know the value of cos X, we can find the value of sin X by using the trig identity

[tex] \sin^2 X + \cos^2 X = 1 [/tex]

[tex] \sin^2 X + (0.689655)^2 = 1 [/tex]

[tex] \sin^2 X = 0.524376 [/tex]

[tex] \sin X = 0.7241 [/tex]


Related Questions

If I take the shortest route do I take a new road ? Please explain. How far is the longer route than the shorter route and assume they are all straight. This is Pythagorean theorem.

Answers

Answer:

the new road is new so it will be a new way which makes it shorter if yuo think about it

What is 2 divided by 1/4.

Answers

Answer:

8

Step-by-step explanation:

you basically multiply 2 by 4 anyways hope this helps

One leg of a right triangle is 10 units, and its hypotenuse is 12 units. What is the length of the other leg?
A.
about 7 units
B.
about 15 units
C. about 25 units
D. about 122 units
E
about 224 units

Answers

Answer:

about 7 units

Step-by-step explanation:

10[tex]10^{2} + b^{2} = 12^{2} \\100+b^{2} = 144 \\144- 100= 44\\=\sqrt{44} \\= 6.6\\round \\=7[/tex]

Answer:

7 UNITS mwah <3<3<3<3<3<3<3

Write the standard form of the line that passes through the given points. (-3,5) and (-2,-6)

Answers

Answer:

Step-by-step explanation:

What you’ll do is subtract -3 and -2 and then subtract 5 and -6

I need help guys this time it is 6 points cuz I'm poor so PLZ help I really need it !!!!!!!!

Answers

Answer:

Answer is option d mark as brainiest give 100 point

A word game has 100 tiles, including 2 blank tiles and 56
consonant tiles. There are 42 tiles with a vowel on each, and 12 have an "E." If the tiles are turned face down, and Dante selects one, what is the probability he will select a tile with an "E" on it?
Select One:

A.)2/7

B.)3/14

C.)I/12

D.)3/25​

Answers

Answer:

D) 3/25

Step-by-step explanation:

Total number of tiles:

100

Number of tiles with "E" on it:

12

Probability of selecting a tile with "E" on it:

12/100 = 3/25

Answer choice: D) 3/25

Jeremy’s dad is making cupcakes for his birthday. He needs 50 cupcakes in all. So far he made 13 chocolate cupcakes and 15 vanilla cupcakes. How many more cupcakes must he make?

Answers

Answer:

22 cupcakes

Step-by-step explanation:

13+15=28

50-28=22

Answer:

22 cupcakes

Step-by-step explanation:

First, let's find how many cupcakes he has already made.

He made 13 chocolate and 15 vanilla. If we add them together, we can find how many he has made total.

13+15=28

So far, he has 28 cupcakes.

He needs 50 cupcakes, and he has already made 28. The difference of the two numbers will be how many he must still make.

Subtract 28 from 50

50-28=22

So, he still has to make 22 cupcakes

Which of these situations can be considered a binomial experiment?
A.
Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

B.
Asking 25 students how tall they are and recording their answers

C.
Rolling a single number cube until you get a 5

D.
Tossing a coin 50 times and recording the number of times it lands on heads

Answers

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

It is best to analyze each option and see if it meets the conditions of a binomial experiment or not, the most important thing is that the binomial distribution can be used when the results of each experiment / trace in the process are yes / no or success / failure .

A. Drawing one marble from a bag containing 12 red and 8 blue marbles (replacing after each draw) until you have drawn 5 blue marbles

Does not meet the conditions, although there are two options, The tests are not independent of each other. The result of one test does affect the results of subsequent tests. because there is a replacement.

B.  Asking 25 students how tall they are and recording their answers

There are not two options

C.  Rolling a single number cube until you get a 5

There are not two options

D.   Tossing a coin 50 times and recording the number of times it lands on heads

Yes there are two options and they are events are independent of each other, therefore it is the correct answer.

Answer:

D. Tossing a coin 50 times and recording the number of times it lands on heads

Step-by-step explanation:

A P 3 X

A circle has a radius of square root 131 units and is centered at (0,-4.3).
Whats the equation of this circle?

Answers

Answer:

x^2 + (y + 4.3)^2 = 131

Step-by-step explanation:

The basic equation of a circle with center at (h, k) and radius r is

(x - h)^2 + (y - k)^2 = r^2.  Here the center is (0, -4.3) and the radius is √131.  Substituting as indicated, we get:

(x - 0)^2 + (y + 4.3)^2 = 131, or

x^2 + (y + 4.3)^2 = 131

simplify (3mn)4 (with work please)

Answers

Answer:

12mn

Step-by-step explanation:

Just multiply 4 by 3

Solve the equation in the interval from 510^\circ510 ∘ 510, degrees to 1050^\circ1050 ∘ 1050, degrees. Your answer should be in degrees. \sin(x)=0sin(x)=0

Answers

Answer:

540°, 720° and 900°

Step-by-step explanation:

Given equation sin(x) = 0 lying between the interval 510°≤x≤1050°. To find the value of x within this range, we first find the value of from the equation as shown;

sin(x) = 0

taking the arcsin of both sides;

[tex]sin^{-1}(sinx) = sin^{-1} 0\\x = 0^{0}[/tex]

Since x is positive in the first and second quadrant, in the second quadrant, the value of x will be 180°-0° = 180°

Subsequent value of x equivalent to 0° will be addition of 180° to each previous value gotten. The values of x within the range given are as shown

x1 =0°

x2 = 180°-0° = 180(2nd quadrant)

x3 = 180°+180° = 360°

x4 = 360°+180° = 540°

x5 = 540°+180°=720°

x6 = 720°+180° = 900°

x7 = 900°+180° = 1080°

We can see from the values above that the values of x that falls within the given range are 540°, 720° and 900°. This gives the required answers in degrees.

Find the volume of a cylinder if the radius is 5 in. and the height is 20 in.

Answers

Answer:

V=πr^2h

V = ?

π = 22/7

r = 5

h=20

V = 22/7× 5^2× 20

V = 11000/7

V = 1571.42

The Volume is approximately 1571cm^3

Step-by-step explanation:


Lexi runs a race at school. She runs at a rate of 4 miles per hour for the first mile, then increases her rate to 5 miles per hour until the last mile when she runs 6 miles per hour. Which equation below represents her time, T. In hours, If she runs a total of x miles

Answers

Answer:

60T = 12x - 1

Step-by-step explanation:

In speed distance and time, time(t) is given by

time = distance(d)/speed(s)

total distance ran = x miles

case 1

d = 1 mile

speed = 4 miles per hour

as time = distance(d)/speed(s)

t = 1/4

____________________________

case 2

speed = 5 miles per hour

it is given that out of x miles for first mile and last mile her speed was 5 miles per hour

thus distance for this speed can be calculated by

subtracting first and last mile from x miles

therefore

distance = x-2 miles\

t = (x-2)/5

_____________________________________

case 3

distance = 1 mile

speed = 6 miles per hour

t = 1/6

______________________________

Total time T as required  will be sum of time for the 3 case calculated above

T = 1/4 + (x-2)/5 + 1/6

T = 1/4 + (x - 2)/5 + 1/6   (taking LCM of 6,5,4 as 60 and solving)

T = (15 + 12x - 24 + 10)/60

T = (12x - 1)/60

60T = 12x - 1

Thus, equation 60T = 12x - 1 represents her time T

need help will give brainliest and 5 stars

Answers

Answer:

(-2, -2)

Step-by-step explanation:

You have to find the lowest point of the graph.  That would be 2 to the left of the origin and 2 down.  Note that the scale on the graph differs for the x- and y-axis.

A store makes a $0.45 profit on every toy they sell. If they made $237.15 in profit last month, how many toys did they sell?

Answers

Answer:

527

Step-by-step explanation:

237.15/0.45 = 527

Answer:

They sold 527 toys.

Step-by-step explanation:

If they make 0.45$ profit on every toy.

Total profit of a month is $237.15.

then no of toys sold = total profit divided by individual profit

Number of toys= 237.15/0.45 =527

if butter the dog jumps two times and falls one time then how many times has he jumped?

Answers

Answer:1 or 3

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

What is the range? 5,10,5,4,5,10,3,10
Help me pls

Answers

Answer: the answer is 7

Step-by-step explanation: the lowest number is 3 and the biggest one is 10 so you substract 10-3 and you get 7

Answer:

7.

Step-by-step explanation:

In order to find the range, you need to:

1. Arrange the set of numbers in order from smallest to largest.

2. Identify the smallest and largest numbers in the set.

3. Subtract the smallest number from the largest.

Therefore, your answer is 7.

Happy to help. :)

how do you simplify this

Answers

Answer:

6^8

Step-by-step explanation:

so whenever there is an exponent outside of a parentheses, multiply it with the exponent inside the parentheses:

so (6^4)^2= 6^8

Hope this helps!

Answer:

well the answer is 1679616

Step-by-step explanation:

how you search it up is (6^4)^2 and how you do it is times 6 by 6 by 6 by 6 then whatever that comes out to (1296) you would multiply that twice (1296 times 1296) and that'd be your answer ( 1679616)

hey can anyone pls help me out in dis i will give 30 points!!!!!

Answers

Answer:

First box = I would use the slope formula. The slope formula is y2 - y1/x2 - x1.

Second box horizontally = the method I would use is using the slope formula

Second row of boxes = I would graph it using the computer.

Problem:
The pile of blocks above weighs 2 pounds. How many ounces do the blocks weigh?
A
32 ounces
B
16 ounces
C
1 ounce
D
64 ounces
End
Session​

Answers

The answer is 32 ounces (A)

the answer is 32 ounces  this same queston is in my notes

hope it likes you...

Please answer.....................................

Answers

Answer:

1.25 + r = 4

1.25 - 1.25 + r = 4 - 1.25

r = 2.75

first option is the answer

Step-by-step explanation:

1. subtract 1.25 from both sides

A circular swimming pool has a diameter of 23 feet. What is the distance around the swimming pool?

Answers

Answer:

72.22 ft

Step-by-step explanation:

The circumference is calculated by pi x d

Answer:

About  72.3 feet

To be exact:   The distance around the pool is  23π  feet

Step-by-step explanation:

The question asks for the distance around the pool.

What does that mean?

It sounds similar to circumference of the circle shaped pool.

So, use the formula:  C = (pi)*d

C = (pi) * 23 feet

C = 3.1415926  * 23 =  72.256 feet   (approximately)

Two friends shop for fresh fruit. Jackson buys a watermelon for $6.35 and 4 pounds of cherries. Tim buys a pineapple for $4.25 and 3 pounds of cherries Use the variable P to represent the price in dollars per pound of cherries. Write and simplify an expression to represent how much more Jackson spent.

Answers

Answer:

7.65 + 5p - (2.45 - 4p) =

7.65 + 5p - 2.45 + 4p =

5.20 + 9p <==

Step-by-step explanation:

hope dis helps mark me as brainliest pls!!!!!

How many solutions does this equation have?

–n − 5 = –n

Answers

Answer:

0

Step-by-step explanation:

-n+n-5 = 0

-5 = 0

Answer:

no solutions

Step-by-step explanation:

–n − 5 = –n

Add n to each side

–n+n − 5 = –n+n

-5 = 0

This is never true so there are no solutions

The following table shows how many multiplication problems 4 students were able to solve in different amounts of time. For example, Murray solved 58 problems in 2 minutes.
Student Problems Minutes
Murray 58 2
Kris 78 3
Logan 84 3
Taylor 92 4
Which student solved problems at a rate of 28 per minute?

Answers

Answer:

logan

Step-by-step explanation:

84 divided by 3 = 28

Answer: Logan

Step-by-step explanation:

Here the given table,

Student :       Murray             Kris            Logan          Taylor

Problem :        58                  78                84               92

Time(min) :       2                   3                    3                 4        

Therefore, Only Logan can solve the problem at the rate of 28 per minutes.

A building in a downtown business area casts a shadow that measures 88 meters along the ground. The straight-line distance from the top of the building to the end of the shadow it creates is at a 32° angle with the ground. What is the approximate height of the building? Round your answer to the nearest meter. The building is meters high.

Answers

The height of the building with a shadow of 88 feet is 55 feet.

Trigonometric ratio

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

Let h represent the height of the building, hence using trigonometric ratios:

tan(32) = h / 88

h = 88 * tan (32) = 55 feet

The height of the building with a shadow of 88 feet is 55 feet.

Find out more on Trigonometric ratio at: https://brainly.com/question/4326804

Answer: 55

Step-by-step explanation: The building is 55 meters high

Triangle RST is rotated using the origin as the center of rotation. The preimage and image are shown in the graph below.

On a coordinate plane, triangle T R S has points (negative 2, negative 3), (2, negative 3), (0, negative 5). Triangle T prime R prime S prime has points (3.5, 0.8), (0.7, 3.8), (3.5, 3.8).

The figure is rotated counterclockwise. Which rotation could have taken place?
a 45° rotation
a 90° rotation
a 135° rotation
a 225° rotation

Answers

Answer:

a 135° rotation.

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

Answer:

a 135° rotation.

Step-by-step explanation:

As you can observe in the image attached, the preimage RST is a tringle "pointing" to the negaitve side of the vertical axis (taking point S as reference).

The transformed triangle R'S'T' is pointing to the diagonal of the first quadrant, with a 45°, approximately.

The rotation needed in such transformation would be 90° + 45° = 135°, becasue from -y to +x there're 90°, then we rotate 45° to reach the position of R'S'T'.

Therefore, the right asnwer is a 135° rotation.

I Know It’s A Bit Much But U Would Be Doing Me A Huge Favor

Answers

Answer:

1. x^8

2.1

3.x^15

4.x^10

5.x^6

6.x^5y^5

7.x^-6

8.x^9

9.x^14

10.x^5

11.x^-1

12.x^11

Step-by-step explanation:

What number should be placed in the box to help complete the division calculation?

Answers

Answer:

160

Step-by-step explanation:

226

-160

____

66

-64 (4 in the quotient)

____

2

Please help me any thing you can do just help me

Answers

Q1 the correct answer is D

Answer:if u need help go to a Psychiatric hospital

Step-by-step explanation:

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