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

you are mountain climbing with a friend. you need to reach a ledge that is 22 feet above you

Answers

Answer:

x+22

Step-by-step explanation:

you don't know what elevation you are on and you need to go up 22 feet more to the ledge above you.

Choose the correct symbol.

74 21
>
<
=

Answers

It’s the greater than sign

Solve the following system of equations.Express your answer as an ordered pair in the format (a,b),with no spaces between the number or symbols 3x+4y=16 -4x-3y=-19

Answers

Answer:

(4,1)

Step-by-step explanation:

3x + 4y = 16

-4x - 3y = -19

4( 3x + 4y = 16)

3( -4x - 3y = -19)

Distribute

12x + 16y = 64

-12x - 9y = -57

Now subtract both equations

7y = 7

/7 on both sides

y = 1

Substitute y = 1 in one of the equations.

3x + 4y = 16

3x + 4(1) = 16

-4 on both sides

3x = 12

/3 on both sides

x = 4

Answer:

x = 4

y = 1

five whole numbers are written in order (4, 6, x, y, 10). The mean and median of the five numbers are the same. Work out the values of x and y.

Answers

Answer:

x = 7

y = 8

Step-by-step explanation:

Knowing that the mean is equal to the median, we can formulate the following equation:

⅕(4 + 6 + x + y + 10) = x

Simplifying it, we get:

y = 4x - 20

Now, we know that both x and y are between 6 and 10 and that y is greater than x;

Mathematically, we have the conditions:

6 =< x =< 10

6 =< y =< 10

y > x

If we apply the second condition, i.e. the restrictions on the y-values, we find that x has to be between 6.5 and 7.5, i.e. 6.5 =< x =< 7.5;

This means x has to 7 since it can only be a whole number and this is the only whole number between 6.5 and 7.5;

Once we know this, we can find y simply by subbing it into the equation formulated previously:

y = 4(7) - 20

y = 8

An angry teacher saw her student when he was 5200 feet away and started to chase him at a speed of 28 feet per second. The student immediately started to run away at a speed of 24 feet per second. How much time will it take the teacher to catch her student?

Answers

Answer:

5200 ÷( 28 - 24)

= 5200 ÷ 4

= 1300 second

The age of the volunteers at a local food bank are 34, 25, 24, 50, 18, 46, 43, 36, 32. What is the median for the data set?

Answers

It is 34

First you have to order all of the number from least to greatest:

18 24 25 32 34 36 43 46 50

Then you cross out a number from each side, until you are left with the last number, which is the median. In this case your answer is 34.

Jon collects 2,578 ounces of honey from his beehives. He will put the honey in
jars thert hold 6 ounces each. Which expression is best to estimate the number of
jars Jon can fill with honey?​

Answers

Answer:

2,578 = 6X

Step-by-step explanation:

Given:

Total weight of honey collected = 2,578 ounce

Each jar hold honey = 6 ounce

Find:

Expression to estimate number of  jars can fill :

Computation:

Assume ,

Total number of jars can fill = X

So,

Total weight of honey collected  = Total number of jars × Each jar hold honey

2,578 = 6 × X

2,578 = 6X

can someone please help me :)

Answers

Answer:

B

Step-by-step explanation:

What was the percentage decrease in the number of accidents between 1950 and 1976?

Answers

Answer:

the percentage decrease in the number of accidents between 1950 and 1976 is (25.9)

Suppose the diameter of a circle is 6 units. What is its circumference?

Answers

If the diameter of a circle is 6 units, it's radius would be half that, that is 3 units.

Circumference = [tex]2\pi r[/tex] = 2 x 3.14 x 3 = 18.84 units

secant zv interscts secant zw at point z find the length of tw

Answers

Answer:

MN ;K ;K ;K ;K

Step-by-step explanation:

I need help with this :/ pls help

Answers

Answer:

When you divide by 10^3, the decimal point moves three places to the right. When you multiply by 0.001, the decimal point moves three places to the right. So, both equal .0777

Step-by-step explanation:

What is the difference between a rectangular prism and a triangular prism?
The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.
A rectangular prism has two bases, while a triangular prism has one base,
A triangular prism has two bases, while a rectangular prism has one base.
A rectangular prism has two bases and three faces, while a triangular prism has two bases and four faces.
Dintro
Done

Answers

Answer:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles.

Step-by-step explanation:

Any prism has two bases.  Since we are talking about a rectangular prism and a triangular prism both must have two bases.

For example, a square prism has two bases and they are both square.

In this case a rectangular prism has two bases that are rectangles and a triangular prism also has two bases and both bases are triangles.

Note: For the figure to have only one base it must be called a pyramid.

Thus, the answer is:

The two bases of a rectangular prism are rectangles, while the two bases of a triangular prism are triangles

Answer:

a

Step-by-step explanation:

Each CD is approximately 4.72 inches in circumference and 0.05 inches in depth. There are 15 CDs in the stack. Use the Cavalieri's Principle to find the surface area of the stack of CDs

Answers

Answer:

SA = 7.08 in²

Step-by-step explanation:

We can use the following method to solve the given problem

SA = 2B + LA

Where LA

LA = 4.72* 0.05* 15= 3.54

And

C = 2πr

Where

C = 4.72in

π = 3.14

Substituting, we have

4.72 = 2*3.14*r

Making r the subject of formula

r = 0.75in

Solve for the area of CD

A = πr²

Substituting the values we have

A = 3.14 *(0.75)²

A= 1.77 in²

Solving for surface area of the stack

SA = 2(1.77) + 3.54

SA = 7.08 in²

MATH WHAT IS THIS!!!
Four people need to cross a dark river at night.They have only one torch and the river is too risky to cross without the tourch. if all people cross simultanoesly then torch light wont be sufficient.Speed of each person of crossing the river is different.cross time for each person is 1 min, 2 mins, 7 mins and 10 mins. What is the shortest time needed for all four of them to cross the river ?

Answers

Answer:

17 minutes    i had this same answer and question 2day, so ur lucky.

Step-by-step explanation:

The initial solution most people will think of is to use the fastest person as an usher to guide everyone across. How long would that take? 10 + 1 + 7 + 1 + 2 = 21 mins. Is that it? No. That would make this question too simple even as a warm up question.

To reduce the amount of time, we should find a way for 10 and 7 to go together. If they cross together, then we need one of them to come back to get the others. That would not be ideal. How do we get around that? Maybe we can have 1 waiting on the other side to bring the torch back. Ahaa, we are getting closer. The fastest way to get 1 across and be back is to use 2 to usher 1 across. So let's put all this together.

1 and 2 go cross

2 comes back

7 and 10 go across

1 comes back

1 and 2 go across (done)

Total time = 2 + 2 + 10 + 1 + 2 = 17 mins

Answer:

17 minutes

Step-by-step explanation:

Let A be the person who takes 1 min,

B who takes 2 mins, C who takes 7 mins and D who takes 10 mins

A and B cross the river in 2 mins, A comes back in 1 min

C and D cross the river in 10 mins, B comes back in 2 mins

A and B cross the river in 2 mins

Total time:

2 + 1 + 10 + 2 + 2 = 17 minutes

Find the measure of the reference angle for each angle. Part 3
16. θ = -15°
17. θ = 220°

Answers

Answer:

16. 15°

17. 40°

Step-by-step explanation:

Please see attached picture for full solution.

PLZ HELP ASAP IM TIMED THX

Find values of x and y
A x=3.6 y=5.6
B x=7.2 y=5.9
C x= 7.2 y=6.2
D x=8 y=6

Answers

The answer: is option C

Answerc

Step-by-step explanation:

mark has a friend named Chole how different are marks and chole DNA ?

Answers

Answer:

0.01 %  

Step-by-step explanation:

Find the next two terms of the geometric sequence 567, 189, 63 … .

Answers

Answer:

As we can observe,

F(1) = 567

F(2) = 189 = 567/3 = F(1)/3

F(3) = 63 = 189/3 = F(2)/3

=> F(4) = F(3)/3 = 63/3 = 21

Hope this helps!

:)

Answer:

21 then 7

Step-by-step explanation:

if an integer from 3 through 14 is chosen at random, what is the probability that the number chosen is NOT prime

Answers

Answer:

Step-by-step explanation:

7/12

no. of not prime number/ total no. of number

Esme plans to flip a fair coin 3 times and record the results of each flip.

What is the probability that the coin lands with the heads side up on all 3 flips?

Enter your answer as a reduced fraction, using the / symbol, like this: 42/53

Answers

Answer:

ttt

htt

tht

tth

hht

thh

hth

hhh

these are the possible outcomes of the three outcomes

so probability of hhh = 1/8

The probability that the coin lands with the heads side up on all 3 flips will be 1/8.

What is probability?

Its fundamental concept is that someone will nearly surely occur. The proportion of positive events in comparison to the total of occurrences. Then the probability is given as,

P = (Favorable event) / (Total event)

Esme intends to record the outcomes of each flip of a fair coin as she tosses it three times. The likelihood that the coin will fall with the heads side up on all three flips is then determined to be:

P = (1/2) x (1/2) x (1/2)

P = 1/8

More about the probability link is given below.

https://brainly.com/question/795909

#SPJ2

Compare the ordered pairs of the pre-image to the
image to answer these questions.
Is the dilation an enlargement or reduction?
The point of dilation is about what coordinate?
What is the scale factor?
Pre-image

Answers

Answer: Reduction

(0,0)

1/3

Step-by-step explanation:

Answer:

1-reduction

2-(0,0)

3-1/3

Step-by-step explanation:

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.

Identifying Characteristics Determine the statements that characterize cylinders and cones. Check all that apply. Cylinders have two circular bases. Cones have one circular base. The lateral area of a cylinder is a triangle. The lateral area of a cone is a rectangle. The lateral area of a cylinder is related to circumference of the circular bases.

Answers

Answer:

a,b, and e

Step-by-step explanation:

i did the lesson on edge2020

Hi can you please help me

Answers

These questions are some teacher's hairbrained idea that we can keep the students current on algebra while learning geometry.  While there are many ways to combine algebra and geometry, this way is awful.

Triangle angles add to 180 degrees. Geometry done.

Equation that models ...:

2x + 5 + 3x + 7 + 2x = 180

Solving,

7x + 12 = 180

7x = 168

x = 168/7 = 24

Answer: x=24

A=2x+5=2(24)+5= 53°

B = 3x+7 = 3(24) + 7 = 79°

C = 2x = 48°

Answer: A=53°, B=79°, C=48°

Solve for angle C.




Answers

Answer: 40º

Step-by-step explanation:

To find angle c, not give 2 angles at least, we must use a trigonometric function. With respect to angle c, we can see that we have the opposite and adjacent sides.

The trigonometric function that relates opposite and adjacent sides is tangent.

[tex]tan=\frac{opposite}{adjacent}[/tex]

[tex]tan=\frac{21}{25}[/tex]

[tex]tan^-^1=40[/tex]

Im thinking the answer could be 40

i really need somebody to help me with this question. i’m gonna fail. this is year 8 maths btw.

Answers

Answer:

Three questions for the equation 18 × y^3 :-

9y × 2y^26y^2 × 3y18 × 1y^3

hope it helps!

Which has a positive value in Quadrant IV?

Answers

Cosine is positive in Quadrant IV.

The option gpe is best when the contracted volume is below 3750037500 units ​(enter your response as a whole​ number).the option fms is best when the contracted volume is between 3750037500 and nothing units ​(enter your responses as whole​ numbers).

Answers

Answer:

Find attached missing part of the question:

The option gpe is best when the contracted volume is below 31250  units

The option fms is best when the contracted volume is between 31,250 and 230,000  units ​

The option DM is best when contracted volume is above 230,000 units

Step-by-step explanation:

let x represent the volume produced in each of the three options:

Total cost(TC) =fixed cost+(variable per unit*x)

for general purpose equipment:

TC=125,000+18x equation 1

for flexible manufacturing system

TC=250,000+14x equation 2

for dedicated machine

TC=480,000+13x equation 3

if we set equations 1 and 2 together

125,000+18x=250,000+14x

If we equate equations 2 and 3 together

250,000+14x=480,000+13x

14x-13x=480,000-250,000

x=230,000

18x-14x=250,000-125,000

4x=125,000

divide both sides y 4

x=125,000/4=31250

The 10th term of an AP is -37 and sum of its first 6 terms is -27. Find the sum of its first eight terms.

Answers

Answer: - 63

Step-by-step explanation:

An arithmetic progression is such that the N-th element is equal to:

An = A1 + (n-1)*R

where A1 is the first term, and R is the difference between two consecutive terms.

We know that

A1 + 9*R = -37

and

A1 + (A1 + R) +  (A1 + 2R) +   (A1 + 3R) +  (A1 + 4R) +  (A1 + 5R) = -27

6*A1 + R(1 + 2 + 3 + 4 + 5) = -27

6*A1 + 15*R = -27

so we have two equations:

6*A1 + 15*R = -27

A1 + 9*R = -37

Let's find A1 and R.

First, isolate A1 in the second equation:

A1 = -37 - 9*R

now replace it in the other equation and solve it for R.

6*A1 + 15*R = -27

6*(-37 - 9*R) + 15*R = -27

-222 - 54*R + 15*R = -27

-39*R = -27 + 222 = 195

R = 195/-39 = -5

Now we can find the value of A1:

A1 = -37 - 9*R = -37 - 9*-5 = 8

So now we want to calculate the sum of the first eight terms. we already know that the sum of the first six is -27, so we need to add the seventh and the eigth.

A7 = 8 + 6*-5 = -17

A8 = 8 + 7*-5 = -22

Sum = -27 -17 - 22 = -63

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