write the ratios sin m, cos m, and tan m. give the exact value and four decimal approximation. Please help.

Write The Ratios Sin M, Cos M, And Tan M. Give The Exact Value And Four Decimal Approximation. Please

Answers

Answer 1
given,
hypotenuse = 23
adjacent = 4sqrt19
opposite = 15
then, using sohcahtoa,
sin m = 15/23 =0.652
cos m = 4sqrt19/23 = 0.758
tan m = 4sqrt19/15 = 1.162
Answer 2

Trigonometric functions are the ratio of different sides of a triangle. The ratios sin∠m, cos∠m, and Tan∠m are 0.758, 0.6522, and 1.1624.

What are Trigonometric functions?

The trigonometric function gives the ratio of different sides of a right-angle triangle.

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\Cos \theta=\dfrac{Base}{Hypotenuse}\\\\\\Tan \theta=\dfrac{Perpendicular}{Base}[/tex]

where perpendicular is the side of the triangle which is opposite to the angle, and the hypotenuse is the longest side of the triangle which is opposite to the 90° angle.

As it is given that the base of the triangle for the ∠m is Mk(15 units), the perpendicular is KL(4√19), and the hypotenuse is 23. Now, the trigonometric ratios can be written as,

Sine

[tex]\rm Sin \theta=\dfrac{Perpendicular}{Hypotenuse}\\\\\\\rm Sin (\angle m)=\dfrac{KL}{ML}\\\\\\\rm Sin (\angle m)=\dfrac{4\sqrt{19}}{23}\\\\\\\rm Sin (\angle m)=0.758069\approx 0.758[/tex]

Cosine

[tex]\rm Cos\theta=\dfrac{Base}{Hypotenuse}\\\\\\\rm Cos(\angle m)=\dfrac{MK}{ML}\\\\\\\rm Cos(\angle m)=\dfrac{15}{23}\\\\\\\rm Cos (\angle m)=0.65217\approx 0.6522[/tex]

Tangent

[tex]\rm Tan\theta=\dfrac{Perpendicular}{Base}\\\\\\\rm Tan(\angle m)=\dfrac{KL}{MK}\\\\\\\rm Tan(\angle m)=\dfrac{4\sqrt{19}}{15}\\\\\\\rm Tan(\angle m)=1.16237\approx 1.1624[/tex]

Hence, the ratios sin m, cos m, and tan m are 0.758, 0.6522, and 1.1624.

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Related Questions

Determine the measure of angle b.

Answers

Answer:

37

Step-by-step explanation:

Because 180 is a straight line.

Subtract 143 from 180 amd get 37.

Hope this helps ^-^

In PQR the measure of R=90, QR=61 feet and RP=90 find the measure of P to the nearest degree.

Answers

Answer:

<P = 56 degrees

Step-by-step explanation:

Given the following

m<R = 90 degrees

QR = 61feet = Adjacent

RP = 90 feet= Opposite

Required

tan<P = opp/adj

Tan<P = 90/61

<P = arc tan (90/61)

<P = arctan 1.4754

<P = 55.9

<P = 56 degrees to the nearest degree

Which of the following describes theoretical probability?

Answers

Hi for the answer is there any backstory or answer key at least?

Answer:

Roll of a Die

Step-by-step explanation:

The ratio of boys to girls in a certain school is 2:3 calculate how many boys are there if there are 1500 learners in the school.​

Answers

Answer:

700

Step-by-step explanation:

Answer:

the answer is 900 students

Step-by-step explanation:

if there are 5 parts to the ratio then take that and divide it by the total number of learners and then multply it by the ratio for the boys

what is 10c + 20 = 40 C =

Answers

Answer: c = 2

Step-by-step explanation:

First you write out your equation: 10c + 20 = 40

Next, since the equation is adding, you can subtract 20 the constant on both sides of the equation:

10c + 20 = 40

      - 20    - 20  

The 20s cancel each other out and 40 - 20 is 20.

Our new equation looks like: 10c = 20

Now to find the value of C you are going to divide 10 on both sides because the equation is multiplying.

10c divided by 10 is just c and 20 divided by 10 is 2.

Therefore, you are left with c = 2

hope this helps have a nice day :)

Please answer with explanation

Answers

Answer:

2000 linear feet

becouse 21-19=2 so thats his profit per linear foot

and it costs him 4000 so to get that amount he has to sell 2000 because 2000×2=4000

Rosa and her friends are eating out for dinner.
The bill was $45.80. They want to leave a 20% tip.
How much should they leave for a tip (gratuity)?

Answers

Answer:$9.16

Step-by-step explanation:

What I did was 20% of $45.80!  If you have a tip or a percent problem you can think of it as that percent of the certain number.  In math "of" means mupltiply.

Punch in your calculator .2 which is 20% times 45.8 and you get your answer $9.16.  

Hope this helps bwo

 

Determine the value of x. Round answer to the nearest hundredth. thank you to whoever helps! Will Be Marked as BRAINLIEST!

Answers

Answer:

34.61

Step-by-step explanation:

Find the diagram attached

From the diagram;

Hypotenuse = 81.9

Angle of elevation = 65degrees

Required

The value of x (Adjacent)

Using the SOH CAH TOA identity

cos theta = adjacent/Hypotenuse

cos 65 = x/81.9

x = 81.9cos65

x = 81.9(0.4226)

x = 34.61

Hence the value of x to the nearest hundredth is 34.61

Please help me with this.

Answers

Answer:

B

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

Help me figure out what "w" is

Answers

Answer:

w = 17.4º OR 17 2/5º

Step-by-step explanation:

5w - 3 = 90º

5w = 90º - 3

5w = 87º

w = 17.4º OR 17 2/5º

Hope that helps, and sorry if it's wrong!

A cell phone tower is anchored by two cables on each side for support. The cables stretch from the top of the tower to the ground, with each being equidistant from the base of the tower. The angle of depression from the top of the tower to the point in which the cable reaches the ground is 23 degrees. If the tower is 140 feet tall, find the ground distance between the cables. Round to the nearest tenth.

Answers

Answer:

659.6 ft

Step-by-step explanation:

x = 140 / tan 23  

x = 329.82(rounded to hundredth)

so total ground distance between the cables = 2x = 2(329.82) = 659.64 feet

The measure of two sides are given. Between what two numbers must the third side fall?

Answers

Answer:

between 12 and 17

hope helps

The measure of the third side of the triangle will fall between 5 and 29.

What is the Triangle Inequality Theorem?

Triangle Inequality Theorem is that for two sides of a triangle, the third side cannot be equal to or greater than the third side's length.

From the Triangle Inequality Theorem,

The sum of the lengths of any two sides of a triangle must be greater than the third side, then the third side of this triangle must be strictly less than 29.

But we can't make the length of the third side too small, either.

If x is the length of the third side, then x + 12 > 17, which means that x > 5

Therefore, the length of the third side must fall between 5 and 29.

Hence, the measure of the third side of the triangle will fall between 5 and 29.

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Please help im lost..

Answers

Answer:

c

Step-by-step explanation:

Hiiioo :D can someone please help. I really need help. Much love ❤️❤️❤️

Answers

Answer:

The answer is the second one!

Have a wonderful day/night! <3

What is a Proportional Relationship?
1. One apple costs 25¢. Determine each cost.
a) 2 apples
b) 3 apples
c) 4 apples
d) 6 apples
e) 9 apples
f) 12 apples

Answers

A two apples or $.25 each

I need help ASAP The number of snacks in 5 packages was 122, 134, 150, 145, and 133. Suppose the mean for 6 packages was 144. How many snacks were in the sixth package?

Answers

It’s 180 ya feel me

can someone please answer this for me

Answers

4+(3 times x)= height of balloon. x = seconds
i hope this helps!:)

module six review and discussion-based assessment​

Answers

Answer:

okay what's your question?

Step-by-step explanation:

Answer:

whats the question

Step-by-step explanation:

Salinda borrowed $4,200 to buy some furniture Her monthly payments over four years with an interest rate of 24 percent are $136.93 per month. How much in total interest will she pay ?

Answers

Answer:

1008

Step-by-step explanation:

All you have to do is find what 24 percent of 4200 is.

Which of the following phrases are equations?
Choose 2 answers:
Choose 2 answers:

(Choice A)
A
4x^34x
3
4, x, cubed

(Choice B)
B
b=9b=9b, equals, 9

(Choice C)
C
7+19=26\text{}7+19=267, plus, 19, equals, 26, start text, end text

(Choice D)
D
a+9>72a+9>72a, plus, 9, is greater than, 72

(Choice E)
E
x+y-\dfrac83x+y−
3
8

Answers

C is the answer I think if it’s not I’m sorry

Answer:

c b

Step-by-step explanation:

khan

A gardener can increase the number of dahlia plants in an annual garden by either buying new bulbs each year or dividing the existing to create new plants. The table below shows the expected number of bulbs for each method.
Need Part A-C

Answers

Answer:

Step-by-step explanation:

Part A

If the gardener increases the number of dahlia plants by buying the new bulbs,

Let the equation representing year (x) and number of bulbs purchased (y) is,

y = mx + b

Here, m = Number of plants purchased each year

b = Initial numbers of plants

For x = 0, and y = 6,

6 = m(0) + b

b = 6

For x = 1, y = 56,

56 = m(1) + 6

m = 50

Therefore, equation for this method of increasing the numbers of plants will be,

y = 50x+ 6

Let the equation for the second method of increasing the number of plants is represented by the equation,

y = a(b)ˣ

From the data given in the table,

For x = 0, y = 6

6 = a(b)⁰

a = 6

For x = 1, y = 12

12 = 6(b)¹

b = 2

Therefore, equation representing the second method (By diving the existing bulbs) will be,

y = 6(2)ˣ

Part B

By substituting the value of x = 10 years,

Method - 1

y = 50(10) + 6

y = 506 plants

Method - 2

y  = 6(2)¹⁰

y = 6144 plants

Part C

After 5 years number of plants by method - 1,

y = 50(5) + 6

  = 256

After 5 years number of plants by method - 2,

y = 6(2)⁵

y = 192

Similarly, After 10 years number of plants by method - 1,

y = 50(10) + 6

  = 506

By method - 2,

y = 6(2)¹⁰

y = 6144

Since, number of plants after 5 years are less by the second method as compared to method 1

But after 10 years second method results the number of plants more than method-1,

Therefore, gardener should adopt method 2 for increasing the numbers of plants.  

Functions are used to represent tables and equations.

(a) The equation of the functions

The function of "Buy New Bulbs" is a linear function with an initial value of 6, and a rate of 50 (i.e. 56 - 6)

So, the equation is:

[tex]y = 6 + 50x[/tex]

The function of "Divide Existing Bulbs" is an exponential function with an initial value of 6, and a rate of 2 (i.e. 12/6)

So, the equation is:

[tex]y = 6(2)^x[/tex]

Hence, the equations of the functions are [tex]y = 6 + 50x[/tex] and [tex]y = 6(2)^x[/tex]

The expected number of bulbs in 10 years

This means that x = 10.

So, we have:

[tex]y = 6 + 50x =6 + 50*10 = 506[/tex]

[tex]y = 6(2)^x =6 *2^{10} = 6144[/tex]

Hence, the expected number of bulbs in 10 years for both functions are 506 and 6144, respectively

Compare the expected number of bulbs in 5 and 10 years

When x = 5.

We have:

[tex]y = 6 + 50x =6 + 50*5 = 256[/tex]

[tex]y = 6(2)^x =6 *2^5 = 192[/tex]

When x = 15

We have:

[tex]y = 6 + 50x =6 + 50*15 = 756[/tex]

[tex]y = 6(2)^x =6 *2^{15} = 196608[/tex]

By comparison;

In 5 years, the expected number of bulbs for the function of "Buy New Bulbs" is greater than the function of "Divide Existing Bulbs", however the expected number of bulbs for the function of "Buy New Bulbs" is less than the function of "Divide Existing Bulbs" in 15 years

Read more about functions at:

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What is (5, 10) reflected over the x-axis

Answers

Answer:

(5,-10)

Step-by-step explanation:

(5,-10) is reflected over the x-axis from (5,10)

Please help!! Thanks

Answers

I hope this helps you

Percent increase in the price

Answers

Answer:

?

Step-by-step explanation:

In two similar triangles find the ratio of corresponding sides if the areas are 50cm²and 98cm²​

Answers

Answer:

5:7

Step-by-step explanation:

The areas of two triangles are 50cm²and 98cm²​.

We need to find the ratio of corresponding sides. It can be calculated as follows :

[tex]\dfrac{s_1}{2_2}=\sqrt{\dfrac{A_1}{A_2}} \\\\=\sqrt{\dfrac{50}{98}}\\\\=\sqrt{\dfrac{25}{49}}\\\\=\dfrac{5}{7}[/tex]

So, the ratio of corresponding sides are 5:7.

A triangle has vertices A(-2,1), B(2,4), C(4,1).
Find the area of the triangle.

Answers

Answer: 6 units squared

Step-by-step explanation: ok here is how you do it so you make the triangle like I did and once you make it. You count the squares about how long it is and how high it is in this case I got for the base 6 and the height 2 so we multiply to get 12 also we divide 12 and 2 to get 6 units squared there you go. hope this helps.

I need help fast not not like serious help me

Answers

Answer:

D

Step-by-step explanation:

hope it helps .

sorry about the pic , kinda hard to get the whole

What is the value of the function
g(t) = 2(t-3)-4 for the input value t= 6?

Answers

Answer:

2

Step-by-step explanation:

Replace t with 6:

g(t) = 2(t-3)-4 becomes g(6) = 2(6-3)-4 = 2(3) - 4 = 6 - 4 = 2

What is the independent and dependent variable in this statement, types of pizza or number of votes

Answers

Answer: type of pizza is dependant and the number of votes is independent

Step-by-step explanation:

the type of pizza they get depends on how many votes there are

What should be done first to evaluate the expression?

6 + 8 ÷ 4 + (4 × 5)²

Answers

Do the parentheses first :) ʕ•ᴥ•ʔ

Answer:

First, follow the first step in PEMDAS so you would do the parenthesis first followed by exponents, multiplication, division, addition, then subtraction

Step-by-step explanation:

6 + 8 ÷ 4 (4*5)^2

6 + 8 ÷ 4 + 20^2

6 + 8 ÷ 4 + 400

6 + 2 + 400

= 408

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