Write the ratios for sin M, cos M, and tan M ​

Write The Ratios For Sin M, Cos M, And Tan M

Answers

Answer 1

Answer/Step-by-step explanation:

Recall: SOHCAHTOA

✔️Sin M = Opp/Hyp

Reference angle = M

Opp = 3√21

Hyp = 15

Sin M = (3√21)/15

Sin M = √21/5

✔️Cos M = Adj/Hyp

Reference angle = M

Adj = 6

Hyp = 15

Cos M = 6/15

Cos M = 2/5

✔️Tan M = Opp/Adj

Reference angle = M

Opp = 3√21

Adj = 6

Tan M = (3√21)/6

Tan M = √21/2


Related Questions

The one highlighted is wrong please help

Answers

Answer:

The .79 correlation is strong and positive, but "significan" is a question not answered by the correlation coefficient.  Many people mistake correlation for causation--one variable's change causing the other variable to change.

Pick the second answer.

A 30°- 60°- 90° triangle is shown below. Find the length of a and b. * leave the answer in simplified radical form*

Answers

Step-by-step explanation:

a = 12√3

b = 24

hope this helps

If you car gets 25 mpg (miles per gallon), how many gallons do you need to buy to drive 375 miles?

Answers

Answer:15

Step-by-step explanation:

375/25=15

Answer:

The answer is 15.

375 ÷ 25 = 15.

Hope this helps!!

Adrian is thinking of different decimal numbers. He gives the following clues

- Each decimal is smaller than 1
- The tenth digits in each decimal is odd.
- when the decimals are converted to fractions, the numerators total 15.

what decimal numbers could adrian be thinking of? find all the possibilites.

Answers

Answers:

Some possible answers are: 0.15, 0.3, and 0.75

Step-by-step explanation:

[tex]0.15=15/100[/tex]

[tex]0.3=15/50[/tex]

[tex]0.75=15/20[/tex]

Help!! I am no good in math..

Answers

Answer:

80/100 is 0.8

Step-by-step explanation:

sorry if I'm wrong

Mariana wears her winter coat when the temperature is colder than -4°

Answers

Answer:

your answer is t < -4

Step-by-step explanation:

hope it helps...

have a great day!! :)

Help me ASAP plzzzz I’m struggling on this one rlly badly

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Points on the path: (0, 5) and (1, 3)

Slope:

m=(y2-y1)/(x2-x1)

m=(3-5)/(1-0)

m= (-2)/1

m= -2

Slope-intercept:

y - y1 = m(x - x1)

y - 5 = -2(x - 0)

y - 5 = -2x

y = -2x + 5

The person above is correct trust him

1. What is the opposite of 6.87?

Answers

Answer:

-6.87

Consider the opposite symbol

(Negative and Positive)

Please someone help me with this

Answers

Answer:

2,-1.5

Step-by-step explanation:

To find the midpoint of a line segment, take the average of the x coordinates and y coordinates of the two points that make it up.

[tex]\frac{2+2}{2} ,\frac{4+(-7)}{2}[/tex]

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

=2,-1.5

Here's the answer for you

Use Lagrange multipliers to find the maximum and minimum values of subject to the given constraint. Also, find the points at which these extreme values occur.
f(x, y) xy: 48x+3y2 3456
Enter your answers for the points in order of increasing x-value.
Maximum______
Minimum_______

Answers

Answer:

Following are the responses to the given question:

Step-by-step explanation:

Given:

[tex]\to f(x,y)=xy\\\\\to 48x^2+3y^2=3456\\\\[/tex]

let [tex]\phi(x,y)=48x^2+3y^2=3456[/tex]

using the lagrange multiplies:

[tex]\bigtriangledown f=\lambda \bigtriangledown \phi\\\\i)\ \ y=96 \lambda x \to \lambda=\frac{y}{96\ x} \\\\ii)\ \ x=6 \lambda y \to \lambda=\frac{y}{6\ y} \\\\iii)\ \ 48x^2+3y^2=3456\\\\[/tex]

From equation (i) and (ii)\\\\

[tex]\to \frac{y}{96x}=\frac{x}{6y}\\\\\to 6y^2=96x^2\\\\\to 3y^2=48x^2\\\\[/tex]

From equation 3:

[tex]48x^2+48x^2=3456\\\\96x^2 3456\\\\x^2=36\\\\x=\pm 6\\\\\therefore 3y^2=48(36)\\\\3y^2=1728\\\\y^2=576\\\\y=\pm24\\\\(x,y)=(\pm 6,\pm 24)\\\\Maximum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ 144 \ \ \ \ at \ \ (6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (-6, -24) \\\\Minimum \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ -144 \ \ \ \ at \ \ (-6,24) \ \ \ \ \ \ \ and \ \ \ \ \ \ (6,-24)\\\\[/tex]

The length of a rectangular garden is 8m greater than twice the width the area of the garden is 280m^2 what is the width of the garden

Answers

Step-by-step explanation:

Given :-

The length of the garden 8m greater than 2 times the width.

Area of the garden is 280 m²

Let us consider the length as x and width as y.

Sp, we can day length as :-

x = 8 + 2y ---(1)

Now, we know that:-

Area of Rectangle = Length × Breadth

280 = x * y

We can replace the value of x now,

280 = y × ( 8 + 2y)

280 = 8y + 2y²

2y² + 8y - 280 = 0

y² + 4y - 140 = 0

Factorise it.

(y -10)(y + 14)

Cancelling -ve value, we get the width as 10 metres.

Hope it helps :)

Answer:

Step-by-step explanation:

Width = w

Length = 2w + 8

Area of rectangular garden = 280 square meter

length * width = 280

(2w + 8 ) *w = 280

2w * w + 8*w = 280

2w² + 8w = 280

2w² + 8w - 280 = 0

Divide the whole equation by 2

w² + 4w - 140 = 0      

w² + 14w - 10w - 14 *10 = 0

w(w + 14) - 10(w + 14) = 0

(w + 14)(w - 10)= 0

w - 10 = 0       {Ignore w + 14, as measurements will not be -ve}

w = 10 m

l = 2*10 +8

= 20 +8

l  = 28 m

Brianna earns $19,500 per year. Lisa earns $1000 per month. Write a numerical expression that represents how much more Brianna earns per year than Lisa

Answers

Answer:

$19,500 - $1000

Step-by-step explanation:

the amount Brianna earns in excess of the amount Lisa earns can be determined by subtracting the amount Brianna earns from that Lisa earns

$19,500 - $1000 = $18,500

7 x what = 315?????????????

Answers

Answer:

7 × x = 315

x = 315 ÷ 7

x = 45

45 is the answer.

Answer:

45

Step-by-step explanation:

315 ÷ 7 = 45

Which of the following is NOT a negative result of unemployment?
A. promotion
B. anxiety
C. depression
D. subsidized housing

Answers

Answer: A

Step-by-step explanation: Promoting somebody is not a bad result of unemployment it might just mean you got transferred to another store.

It’s probably D but if not then it’s A


Which points on this vertical number line best represent the locations of 2.5 and
A: G and J
B: G and K
C: H and I
D: H and J

Answers

i’m pretty sure the answer is b :)

Mercedes is helmet diving at a location of -20 feet. The breathing tube attached to her helmet reaches an oxygen tank at a location of 12 feet.

Which of the following expressions represents
the length, in feet, of the breathing tube attached
to Mercedes' helmet?

(A) |--20 – 12

(B) |--20 + 12

(C) 20 – 12

(D) -20 + 12

Answers

Answer: B

Step-by-step explanation:

WHICH TWO FUNCTIONS REPRESENT EXPONENTIAL DECAY?​

Answers

Answer:

maybe third and first? ıdk :((

Answer:

first and third kind of two functions represent exponential decay.

Footlocker in the mall is having a 25% off sale on all tennis shoes. Joe paid $67.50 for his
favorite tennis shoes that were on sale. What was the original price of the shoes?

Answers

Answer:

The original price of the shoes was $90.

Step-by-step explanation:

25% off means the price Joe paid for it is 75% of the original price.

Set up an equation:

75/100 = 67.50/x

Cross multiply

75 × x = 100 × 67.50

75x = 6750

x = 90

Check our work:

First solve for 25% off of 90 (our answer).

25% = 0.25

90 × 0.25 = 22.50

Next, subtract the discount from 90.

90 - 22.50 = 67.50

67.50 was what Joe paid so this is correct.

Find the diameter of the object. 2 in

Answers

Answer:

Step-by-step explanation:

Can you write your questions clearly, so we can answer it well

Answer:

is it 2 inches?

Step-by-step explanation:

Gillian has completed 25% of a bicycle race. If the length of the race is 32 km, how many has she traveled so far?
800
80
8
8000
NO LINKS

Answers

Answer:

8 km

Step-by-step explanation:

0.25 x 32 = 8

bruce’s sock drawer contains 9 black socks, 4 white socks, and 12 Brown socks. Express shoes is a sock at random, what is the probability that he will choose a sock that is not brown.

A. 16/25
B. 13/25
C. 12/25
D. 9/25

Answers

Answer:

hdhdjidnd rkdb akkabdbnfjbf

dhideijd

eeijberb

Answer: I think its C (12/25) I'm not completely sure though.

Step-by-step explanation:

Kaitlyn sells mini donuts by the box size. The amount of space in the boxes is known as the ________. A. Volume B. Area C. Perimeter

Answers

Answer: Area

Step-by-step explanation:

god bless

Cos Y=?

5/13

5/12

12/13

Answers

Answer:

Cos Y = 12/13

Step-by-step explanation:

Recall, SOHCAHTOA.

Cos Y = Adjacent/Hypotenuse

Reference angle = Y

Adjacent = 12

Hypotenuse = 13

Therefore:

Cos Y = 12/13

Jada is working as a waitress. If she earned $70 in tips and worked four hours and made $110 that day, how much money does Jada make each hour?

Answers

Answer:

45

Step-by-step explanation:

1. $70 + $110 = $180

2. $180 ÷ 4 = $45/hour

The population of a city increases by 1% per year. If this year's
population is 264,000, what will next year's population be, to the nearest
individual?

Answers

Answer:

266640 population

Step-by-step explanation:

Figure A ~ Figure B
Figure A
Figure B
R = 5 ft
R = 2 ft
V = 88 cu ft
Find the volume of Figure A.

Answers

Answer:

The answer is

1375ft3

Step-by-step explanation:

A cartographer used a scale of 1 inch:300 meters for the heights of different mountains. If the actual height of one of those mountains is 3,600 meters, what is its height on the map?​

Answers

Answer:

The height on the map is of 12 inches.

Step-by-step explanation:

Scale of 1 inch:300 meters

This means that each inch on the map represents 300 meters of real height.

If the actual height of one of those mountains is 3,600 meters, what is its height on the map?​

Using proportions, by a rule of three:

1 inch - 300 meters

x inches - 3600 meters

Applying cross multiplication:

[tex]300x = 3600[/tex]

[tex]x = \frac{3600}{300}[/tex]

[tex]x = 12[/tex]

The height on the map is of 12 inches.

Yuki bought a drop–leaf kitchen table. The rectangular part of the table is a 1–by–5–foot rectangle with a semicircle at each end, as shown.

Answers

Answer:

iodfk

Step-by-step explanation:

Find y
Round to the nearest tenth:
28°
X
350 ft
y
y = [ ? ]ft
Enter

Answers

Answer:

y = 658.3 ft

Step-by-step explanation:

Angle of depression = angle of elevation = 28° (alternate angles are congruent)

Reference angle = 28°

Side length opposite to reference angle = 350 ft

Adjacent = y

Apply trigonometric function, TOA:

Tan 28 = Opp/Adj

Tan 28 = 350/y

y*Tan 28 = 350

y = 350/Tan 28

y = 658.254263 ≈ 658.3 ft (nearest tenth)

The law of large numbers tells us that the distribution of a large random sample should resemble the distribution from which it is drawn.

a. True
b. False

Answers

Answer:

b. False

Step-by-step explanation:

The law of large numbers, in statistics, says that the experimental average found in a large number of trials should be very close to the theoretical probability. It does not say anything about distribution. So the answer to this question is False, which is given by option b.

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