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.

Learn more about Trigonometric functions:

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Related Questions

Apply the properties of exponents to determine which of these numerical expressions
are equivalent to 5^12. Select all that apply.

Very confused and forgot the rules to figuring this out.

Answers

Answer:

Second One-

[tex] {5}^{14}. {5}^{ - 2} [/tex]

Fifth One-

[tex] {5}^{6} \: . \: {5}^{6} [/tex]

Sixth One-

[tex] \sqrt{ {5}^{24} } [/tex]

Seventh One-

[tex] {5}^{11} \: . \: 5 [/tex]

What is the volume of a sphere with a radius of 60.5 ft, rounded to the nearest tenth
of a cubic foot?

Answers

Answer:

If rounded to the nearest tenth of a cubic foot, would be: 927587.2

Step-by-step explanation:

The equation of finding the equation of the volume of a sphere is "4π[tex]\frac{radius^{3} }{3}[/tex]"

If values are inserted in for radius as 60.5, the answer will be 927587.2 when rounded to the nearest tenths.

Hope this helps!

Can you help me solve this?

Y-intercept= 4, goes through the point (2, 3)

Please solve using y=Mx+b

Answers

Answer:

y=-1/2x+4 Is your answer

Step-by-step explanation:

y=mx+b

3=2x+4

-1=2x

x=-1/2

You already know y is 4 so y=-1/2x+4

i need help the test is time and i have 5 min left can y'all pls help pls

Answers

Answer:

divide the figure into two parts.

area of square = side²

area of square =12²

area of square =144

area pf trapezium =1/2×(a+b)×h

area of trapezium =1/2×(12+6)×12

area of trapezium =108

area of polygon=144+108=252 unit²

Calculate each value for ⊙P. Use 3.14 for π and round to the nearest tenth.

please help!! will mark brainliest!!

Answers

Answer:

226.19 inches

Step-by-step explanation:

If the number of bacteria in a colony doubles every 46 minutes and there is currently a
population of 150 bacteria, what will the population be 92 minutes from now?
bacteria

Answers

Answer: 608

Step-by-step explanation: multiply by 2

Find the volume of a right circular cone that has a height of 18.5 in and a base with a diameter of 17.5 in. Round your answer to the nearest tenth of a cubic inch.

Answers

Answer:

Step-by-step explanation:

volume of cone formula: V = 1/3 πr²h

r = 1/2 d

r = 1/2 (17.5)

r = 8.75 in

V = 1/3 (π8.75²)(18.5)

V = 1483.26 in²

match the answer to the equation

Answers

1: no solution

2: infinitely many solutions

3: one solution

Select the correct answer.
If f(x) = 2x^2 - 4x - 3° and g(x) = 2x^2 - 16`, find "f(x) + g(x)
OA. 4x^2 - 4x + 13
OB.
* 4x^2 - 4x -13
OC -4x - 19
OD.
*4x^2 - 4x -19

Answers

Answer:

4x^2 - 4x - 19

Step-by-step explanation:

Given the following functions

f(x) = 2x^2 - 4x - 3

g(x) = 2x^2 - 16

f(x)+ g(x) =2x^2 - 4x - 3+ 2x^2 - 16

f(x)+ g(x) = 2x^2+2x^2 -4x - 3 - 16

f(x)+ g(x) =4x^2 - 4x - 19

Hence the required sum is 4x^2 - 4x - 19

What is the area of a rectangle with side lengths 2/5 feet and 4/6 feet?

Answers

Answer:

[tex]\frac{4}{15}[/tex]  (4/15)

Step-by-step explanation:

[tex]\frac{4}{6}=\frac{2}{3}[/tex]

[tex]\frac{2}{5}*\frac{2}{3};[/tex]

1- Multiply the numerators:

[tex]2*2=4[/tex]

2- Multiply the denominators:

[tex]5*3=15[/tex]

3- Thus:

[tex]\frac{2}{5}*\frac{2}{3}= \frac{4}{15}[/tex]

Hope this helps ;)

Sue is 15 years older than Mike. in 5 years mikes’s age will be ½ sue’s age. What is the present age of each?

Show work!!!!

Answers

Answer:

5

Step-by-step explanation:

Sue in 5 years would 20, meaning Mike would be 10. Subtract 5 from Mike to get their current age.

Answer:

Mike= 10 years old

Sue= 25 years old

Step-by-step explanation:

Let the present age of Sue be s years old, while that of Mike be m years old.

Present

s= m +15 -----(1)

In 5 years

Sue's age= s +5

Mike's age= m +5

Given that Mike would be ½ of Sue's age in 5 years,

m +5= ½(s +5)

Multiply both sides by 2:

2(m +5)= s +5

Expand:

2m +10= s +5

2m +10 -5= s

s= 2m +5 -----(2)

Substitute (1) into (2):

m +15= 2m +5

2m -m= 15 -5

m= 10

Substitute m= 10 into (1):

s= 10 +15

s= 25

Thus, the present age of Mike is 10 years old and the present age of Sue is 25 years old.

The students in Mr. Andersen's science class counted the number of leaves on each of 11 different rose bushes. The data they collected is:

26, 54, 38, 65, 58, 35, 52, 43, 55, 41, 61

What is the range of the set of data?

Answers

Answer:

35

Step-by-step explanation:

subtract highest and lowest numbers

help with this question pleaseee !!

Answers

I can’t see the picture I am sorry

4) A store donated 4 72 dozen cookies for a
fundraiser. Another store donated 3 14 dozen
cookies. How many dozen cookies did they
donate altogether?

Answers

Both the stores together donated 65.5 dozen cookies.

Can someone help me find and answer an equation to the following math question : Natalie earns 5% commission on all electronics she sells.On Monday she sold a television for $1130 and a DR that cost $325. What was the total she earned in commission?

Answers

Answer:

She will make a total commission of $1130+$325=$1445

Then 5% of $1445= $1445×5%=$72,75

The altitude to the hypotenuse of a right triangle divides the hypotenuse into segments 2 cm and 8 cm long. ​Find the length of the altitude to the hypotenuse? (Round to the nearest whole number). What is the Altitude ?

Answers

Answer:

Altitude of the right triangle is 4 cm.

Step-by-step explanation:

The altitude divides the right triangle's hypotenuse as 2 cm and 8 cm long.Let's use formula for similar right triangles proportional equation.I'll show you the diagram with steps.

1%
The positions of towns A, B and C are shown in the scale diagram below.
.B
.
A
Scale: 1 cm represents 10 miles
Ismael's house is the same distance
from town A and town B.
His house is exactly 20 miles from town C.
Use the x tool to show all the possible positions of Ismael's house.
You must show all your construction lines.
[5]

Answers

There are no possible positions for Ismael's house.

In this case, we need the following geometrical constructions:

1) Given that Ismael's house has the same distance from towns A and B, we must create a line segment between A and B and perpendicular line passing through the midpoint of line segment AB.

2) Since Ismael's house is 20 miles away from town C, we must create a circle centered at C.

All possible positions of Ismael's house are the set of points where both the perpendicular line and the circle intercepts each other. After making all operations defined above, we conclude that there are no possible positions for Ismael's house.

We kindly invite to check this question on line segments: https://brainly.com/question/23297288

Can y’all help me?

The teacher wants me to do work but ion understand this bc Ian done school for 3 months so I’m a bit behind...

Answers

Answer:

402.1 in^2

Step-by-step explanation:

Find the area of the circle with the 18 in. radius first.

Formula for a circle is πr^2

So the area of the circle with the 8 in. radius is 1017.9 in^2

Now do the same for the 14 in. radius circle.

The area for the 14 in. radius circle is 615.8

Now subtract:

1017.9 - 615.8 =

402.1 in^2

hope this helped!

Find the volume of this square pyramid

Answers

Answer:

216

Step-by-step explanation:

Answer:

72yd

Step-by-step explanation:

Hope that helps

hsobsnsjns

2 5/6 divided by 3 1/4 please explain .

Answers

2 5/6 divided by 3 1/4 is like multiplying.
You turn both mixed fractions into improper fractions. Then flip 13/4 into 4/13 and multiply. I’m sorry if this doesn’t make sense.

17/6 x 13/4 to 17/6 x 4/13

17/6 x 4/13 = 68/78 = 34/39

Answer:

[tex]\frac{34}{39}[/tex]

Step-by-step explanation:

[tex]2\frac{5}{6}[/tex] can be rewritten as [tex]\frac{17}{6}[/tex]

[tex]3\frac{1}{4}[/tex] can be rewritten as [tex]\frac{13}{4}[/tex]

So now

[tex]\frac{17}{6} / \frac{13}{4}[/tex]

Flip the second fraction and multiply

[tex]\frac{17}{6} * \frac{4}{13} = \frac{68}{78}[/tex]

Now reduce the fraction

[tex]\frac{34}{39}[/tex]

The scatter plot shows the relationship between backpack weight and student weight. Which statement describes the data shown in the scatter plot?
A) A potential outlier at (12, 50).
B) A potential outlier at (50, 12).
C) A cluster between a student weight of 40 kg to 70 kg.
D) A cluster between a backpack weight of 4 kg to 12 k

Answers

Answer:

the answer is B on USA Prep

Step-by-step explanation:

"A potential outlier at (50, 12)" is the statement that best describes the data shown in the scatter plot.

What is the line of best fit?

A straight line that minimizes the gap between it and certain data is called a line of best fit. In a scatter plot containing several data points, a relationship is expressed using the line of best fit. It is a result of regression analysis and a tool for forecasting indicators and price changes.

Given:

The scatter plot shows the relationship between backpack weight and student weight.

From the given choices:

An outlier is a value that nowhere near the range of the data set.

From the scatter plot:

A potential outlier at (50, 12).

Therefore, a potential outlier at (50, 12).

To learn more about the line of the best fit;

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#SPJ6

3 apples cost $1.00. How many apples for $2.00

Answers

Answer:

6 apples

Step-by-step explanation:

3 apples cost $1.00

so for $2.00, 2x3÷1=6

hope it helps. plz mark me as brainliest.

Answer:

6 apples

Step-by-step explanation:

if three apples are 1 dollar then every time you add a dollar you would get three more apples

so it would look somthing like

1$ = 3 apples

2$= 6 apples

3$= 9 apples  

4$= 12 apples

so on

MATH
NATION
The data from a survey of ages of people taking an exercise class was skewed to the left.
Part C: The box plot represents the data. Calculate the appropriate measure of spread.
Answer choices:
A. IQR= 45
B. IQR= 13
C. Standard deviation = 8
D. Standard deviation=55

Answers

Answer:

IQR=13 im pretty sure

Step-by-step explanation:

The measure interquartile range is 13 option (B) IQR= 13 is correct.

What is the box and whisker plot?

A box and whisker plot is a method of abstracting a set of data that is approximated using an interval scale. It's also known as a box plot. These are primarily used to interpret data.

We have a box plot, and the data from a survey of ages of people taking an exercise class was skewed to the left.

We know on the left side skewed has more data on the right and on the left side, there are fewer data.

From the dot plot, the end point is not given, so we are assuming the end point is 58.

IQR = 58 - 45 = 13

Thus, the measure interquartile range is 13 option (B) IQR= 13 is correct.

Learn more about the box and whisker plot here:

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What is the difference between the greatest and least amounts of rain?

Answers

Answer:

1 inch

Step-by-step explanation:

hshuehevdjdbevejdj

A rectangular prism has a base area of 400 square inches. The volume of the prism is 2,400 cubic inches. What is the height of the prism? (7.9A)

Answers

Answer:

6

Step-by-step explanation:

2,400 divided by 4 = 6

Raghav, Rajit, Junsu, Mia, and Umema were finished with lunch and began playing with drink straws. Each one was making a line design using either 3 or 4 straws. Since they had just come from math class where they had been studying special angles, Raghav pulled his pencil out of his bookbag and labeled some of the angles and lines. He then challenged himself and the others to find the values of x and y in degrees.

Show how you would find the values of x and y for Raghav’s straw figure shown below using a system of linear equations. (You may use a decimal to the tenths place for your answers for the angle measures.)

Answers

Answer:

x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

Step-by-step explanation:

Known that he sum of angles on a straight line is [tex]180^{o}[/tex]. From the diagram;

2y + x + y = [tex]180^{o}[/tex]

x + 3y = [tex]180^{o}[/tex] ................ 1

Also,

2x + x + 2y = [tex]180^{o}[/tex]

3x + 2y = [tex]180^{o}[/tex] .............. 2

Using the elimination method, multiply equation 1 by 3 and equation 2 by 1

3x + 9y = 540 ............ 3

3x + 2y = [tex]180^{o}[/tex] ............. 4

7y = 360

y = [tex]\frac{360}{7}[/tex]

y = [tex]51.4^{o}[/tex]

substitute the value of y in equation 1,

x + 3y = [tex]180^{o}[/tex]

x + 3(51.4) = [tex]180^{o}[/tex]

x + 154.2 = [tex]180^{o}[/tex]

x = [tex]180^{o}[/tex] - 154.2

x = [tex]25.8^{o}[/tex]

Thus, x = [tex]25.8^{o}[/tex] and y = [tex]51.4^{o}[/tex]

I need help math is so ACK anyone know the answer

Answers

Answer:

He should have done 8^2 + 15^2= x^2 because the hypotenuse is always the longest side and in Pythagorean theorem C represents the longest side

[tex] {x}^{2} = {(8)}^{2} + {(15)}^{2} [/tex]

[tex] {x}^{2} = 64 + 225[/tex]

[tex] {x}^{2} = 289[/tex]

[tex]x = \sqrt{289} [/tex]

[tex]x = 17[/tex]

In ΔMNO, the measure of ∠O=90°, the measure of ∠M=13°, and OM = 9.6 feet. Find the length of MN to the nearest tenth of a foot.

Answers

Answer:  the answer is 9.9

Step-by-step explanation:

490 students and 10 teacher will ride the bus to go to the zoo if each bus can seat so passengers how many buses will be needed many zoo trip

Answers

Answer:

If you add teacher plus students which is 490+10=500

you get 500 people in total after that you divide 500 by 50 and you get 10 so you will need 10 busses in total hope this helped!

Step-by-step explanation:

Calculate the volume

Answers

The volume is decided by using the equation V (volume)=a^3. This means you multiply the length x hight x width. So we would do 5 x 4 x 2 which equals 40.
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