Which of the following trigonometric ratios are correct?

Which Of The Following Trigonometric Ratios Are Correct?

Answers

Answer 1

Hi there! In this problem, you should have the knowledge of three basic Trigonometric Ratio.

sinA = opposite/hypotenusecosA = adjacent/hypotenusetanA = opposite/adjacent

Now that we know three basic ratio. Let's check each choices!

sin50° = d/c

This choice is wrong because we focus on the 50° angle. When we focus on 50°, sin50° should be d/x and not d/c.

sin50° = c/x

This choice is also wrong because in ratio, it's cos50° that adjacent/hypotenuse.

tan50° = d/c

This choice is correct! As ratio states, tanA = opposite/adjacent.

tan50° = x/c

This choice is wrong. x/c is a reciprocal of cosine which is 1/cos. We call the reciprocal of cosine as secant or sec in short.

cos50° = x/d

This choice is wrong as x/d is a reciprocal of sine which is 1/sin. We call the reciprocal of sine as cosecant or cosec/csc in short.

cos50° = c/x

This choice is right by the ratio. Nothing really much to explain since we follow by ratio that is defined.

Answer

tan50° = d/ccos50° = c/x

Questions can be asked through comment.

Furthermore, tan also has its reciprocal form itself which is called cotangent also known as cot in short.

Hope this helps, and Happy Learning! :)


Related Questions

Please help I’m strugglinggg Oml and this is due right now

Answers

Answer:

i dont understand thisssssssss im sorrrryy what is c(5)?????? huhhhhhhhhh

Step-by-step explanation:

how do you give bainlist

Answers

answering so they can get brainliest

Terry rents a kayak while he is on vacation. He is required to pay a deposit of $95 plus an additional $11.50 per day. Terry only has $150 to spend on kayaking. Write and solve an inequality you can use to determine the maximum number of days Terry can afford to rent a kayak.

Answers

Answer:

A maximum of 4 days

Step-by-step explanation:

Inequality: 95 + 11.50x ≤ 150

Okay so the 95 is his fee. Then for everyday, it's 11.50 and we don't know how many days yet, so 11.50x. The 95 dollars and the 11.50x has to equal to or less than 150 since that is how much he has to spend on vaca.

95 + 11.50x ≤ 150

-95                   -95

11.50x ≤  55

/11.50       /11.50

X=4.78260869565

You would round down since he has a budget.

What are the values of c and d in the matrix subtraction below? [ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17] C=-14 d= -6 c=-18 d= -6 c=-14 d=2 c=-18 d=2

Answers

Answer:

c=-18 d=2

Step-by-step explanation:

[ 6 8 -11 15 ]-[c+2 3 -5 d-4 ]=[ 22 5 -6 17]

The equation tells that when the two matrices are subtracted we get the resultant matrix.

Each element of the first matrix corresponds to each element of the second matrix

From above

6- (c+2)= 22

6- c-2= 22

4-c= 22

-c= 22-4

-c= 18

c= -18

And

15-( d-4)= 17

15- d+4= 17

19-d= 17

-d= 17-19

-d= -2

d= 2

Answer:

D

Step-by-step explanation:

c= -18

d= 2

Draw a scale diagram of 15 mm scale factor of 8

pleaseee help

Answers

do u want us to draw it 4 u ? cuz I can

Someone help me with this pls

Answers

answer:

=y^(-4+3)

=y^ (-1)

A culture started with 1,000 bacteria. After 7 hours, it grew to 1,200 bacteria. Predict how many bacteria will be present after 14 hours. round your answer to the nearest whole number.
Note: When solving for k, round to four decimal places

Answers

Answer:

1400

Step-by-step explanation:

I took the Application

find the volume of the figure ​

Answers

Answer:

1920

Step-by-step explanation:

Volume of larger rectangular prism: 10 * 8 * 14 = 1120

Volume of smaller rectangular prism: 10 * 10 * 8 = 800

Volume of whole prism: 1120 + 800 = 1920

Hence, your answer is 1920

The planet venus is on average 2.5x10^7 kilometers from earth. The planet mars is on average 2.25x10^8 kilometers from earth. What is the average distance from venus to mars?

Answers

Answer:

The average distance from venus to mars is 2.5x10⁸ kilometers.

Step-by-step explanation:

We know:

d₁: average distance between venus and earth = 2.5x10⁷ km

d₂: average distance between mars and earth = 2.25x10⁸ km

We can find the average distance from venus to mars as follows:

[tex] d_{t} = d_{1} + d_{2} [/tex]

First, we need to equal the base power 10 so we can sum both distances:

[tex]2.25 \cdot 10^{8} = 2.25 \cdot 10^{7} \times 10 = 22.5 \cdot 10^{7} km[/tex]      

Now, average distance:

[tex]d_{t} = 2.5 \cdot 10^{7} + 22.5 \cdot 10^{7} = (2.5 + 22.5) \cdot 10^{7} = 25 \cdot 10^{7} km = 2.5 \cdot 10^{8} km[/tex]

Therefore, the average distance from venus to mars is 2.5x10⁸ kilometers.

I hope it helps you!              

rewrite each expression as single exponent. Answer all of them Please!

1} 11 to the second power times 11 to the tenth power

2} 13 to the 6 power times 13 to the forth power

3} 14 to the power 9 times 14 to the tenth power

4} 2 to the power 4 times 2 to the forth power

5} 7 to the 8 power times 7 to the 6 power

6} 3 to the power 3 times 3 to the 9 power

Answers

Answer:

[tex]11^2 *11^10 \\13^6 *13^4\\14^9 * 14^10\\2^4*2^4\\7^8*7^6\\3^3*3^9[/tex]

Step-by-step explanation:

Please Mark Brainliest for helping

please help me with full calculations

Answers

9514 1404 393

Answer:

  see attached

Step-by-step explanation:

When rotation is 180° or 360°, the direction is immaterial. The result is the same no matter which direction you go.

7=x + 2x - 5 - 58
Show work please

Answers

Answer:

x= 23.33

Step-by-step explanation:

7=x+2x-5-58

combine like terms

7=3x-63

add 63 to both sides

70=3x

divide by 3

x=23.33

Please help I'm struggling​

Answers

Answer:

the first is  1/5 what are the other options

Step-by-step explanation:

Is this a polygon or trapezoid?

Answers

Answer:

No

Step-by-step explanation:

this is my opinion so No

No a trapezoid has 2 parallel lines


Can someone help on this?

Answers

It is d hope that helps!

Answer:

D

Step-by-step explanation:

p(x, y) reflection on y axis = p'(-x, y)

Help ASAP, mathematics trig

Answers

Answer:

D

Step-by-step explanation:

Using the tangent ratio in the right triangle

tanθ = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{7}{4}[/tex] , then

θ = [tex]tan^{-1}[/tex] ([tex]\frac{7}{4}[/tex] ) ≈ 60° ( to the nearest degree )

What is the area of a circle with a diameter of 5.4

P.S Show work

Answers

If you use 3.14 in terms of pi, it's 22.8906. If you use the pi symbol, it is 7.29π.

Explanation: You divide 5.4 by 2 to get the radius. The radius is 2.7 The formula for area of a circle is πr^2. You square 2.7 and get 7.29π and then multiply by 3.14 or leave it as 7.29π

Margaret is going on vacation to Alaska. She has 13 sweaters and needs to choose 6 to take with her on vacation. How many ways can she choose the 6 sweaters to take? Question 7 options: 1,716 1,235,520 78 575

Answers

Answer:

1,716

Step-by-step explanation:

I just took the quiz.

Multiple Select: Multiply and match each of the following
expressions.
A. (x − p) (x + p)
B. (x – 5) (x + 7)
C.(x + p) (x + p)
A.isz? - 2px – pº A.isx? – p2 B.isz? + 2x – 35
B.isx? - 20 – 35 Cisx2 + 2px +p?

Answers

Answer:

A. (x − p) (x + p) = x² - p²

B. (x – 5) (x + 7) = x² + 2x - 35

C. (x + p) (x + p) = x² + 2px + p²

Step-by-step explanation:

To find - Multiply and match each of the following  expressions.

A. (x − p) (x + p)

B. (x – 5) (x + 7)

C.(x + p) (x + p)

Proof -

A.)

The expression is - (x − p) (x + p)

Now,

(x − p) (x + p) = x(x + p) - p(x + p)

                     = x(x) + x(p) - p(x) - p(p)

                     = x² + xp - px - p²

                     = x² - p²

(x − p) (x + p) = x² - p²

B.)

The expression is - (x – 5) (x + 7)

Now,

(x − 5) (x + 7) = x(x + 7) - 5(x + 7)

                     = x(x) + x(7) - 5(x) - 5(7)

                     = x² + 7x - 5x - 35

                     = x² + 2x - 35

(x − 5) (x + 7) = x² + 2x - 35

C.)

The expression is - (x + p) (x + p)

Now,

(x + p) (x + p) = x(x + p) + p(x + p)

                     = x(x) + x(p) + p(x) + p(p)

                     = x² + xp + px + p²

                     = x² + 2px + p²

(x + p) (x + p) = x² + 2px + p²

20 points! pls helppppp it's almost recognition day for me!!

I'm sorry but i'm bad at math ;-;

using the given figures, find the values of the unknown variables

(PROVING ISOSCELES TRAPEZOID)​

Answers

1. x = 21, y = 103
2. x = 32, y = 52
3. x = 4, y = 5
assuming that all the shapes are regular

If the perimeter of the polygon is 42, AB = ______?

Answers

Answer:

AB = 7

Step-by-step explanation:

The polygon pictured is a hexagon, which means that it has 6 equal side lengths. The perimeter is 42. AB is the length of one side.

Perimeter = 6 x length of one side

If you plug everything you know in the equation, you would get...

42 = 6 x length of one side

42 ÷ 6 = 7

So, 7 is the length of AB, since in a hexagon, all sides are the same length.

The length of side AB  is 7.

What are regular polygons?

A regular polygon is a closed shape that has straight sides of equal length and interior angles of equal measure.

This means that all of the sides and angles of a regular polygon are congruent (i.e., have the same size).

We have,

The given polygon is a hexagon since it has 6 faces.

Now,

The six faces are equal in length.

So,

6 faces length = 42

Now,

Each face = x

And,

6x = 42

x = 42/6

x = 7

Thus,

The length of AB  is 7.

Learn more about regular polygons here:

https://brainly.com/question/24328525

#SPJ

Sabrina babysits for young kids in her neighborhood. Last Friday night, she babysat one child for 2 hours and made $16. Tonight, she babysat one child for 6.5 hours and made $34. Determine and interpret the rate of change and initial value.

Answers

It increased by 95%?

Every day, Jackie practices basketball and guitar. Each day,
she practices basketball for 1.5 hours. If after 6 days she
practiced both basketball and guitar for a total of 21
hours, how many hours per day did Jackie practice guitar?

Answers

i think the answer is 8. not completely sure tho

Someone help me with this pls

Answers

Answer:

5-² is your correct answer

Answer:

=5^10/5^12

= 5^10-12

=5^-2

Find the volume of this right rectangular
prism.
3 in
9 in
. 3 in
[ ? ]in3

Answers

Answer 8.1

Step-by-step explanation:

3 x 9 x 0.3 = 8.1

Find the area of the complex figure below.
A. 84 in^2
B. 90 in^2
C. 96 in^2
D. 102 in^2

Answers

Ok so you have to do the area of three different shapes then add them together so to find the area for the square and rectangle you need to find the sides to be equal so the square is already set you would do 6 times 5 and get 30 so how to do the rectangle is add 7 and 5 and get 12 so you would do 10 - 6 and get 4 and then do 12 times 4 which is 48 so, so far you have 78 for an area but you a triangle so you have a base of 3 because we found that the rectangle is 12 so 15-12 is 3 then we did the side for the rectangle which was 10-6 is 4 so for the triangle you would do 1/2 times 3 times 4 which would be 6 so 78 plus 6 and you would get 84 so A is your answer

The box plot below represents some data set. What percentage of the data values are between 20 and 55?​

Answers

Step-by-step explanation:

the solution is self explanatory

there are 10 children in line. four are girls the rest are boys. which number sentence can be used to find the number of boys in line?

Answers

Answer:

Im sorry i dont understand what you mean by sentence but there are 6 boys

Step-by-step explanation:

ASAP!! ILL GIVE BRAINLEST

In any given pair of similar three dimensional figures, if the ratio of the sides is a:b, then the ratio of
the surface areas is...

A:B
A^3:B^
A^-1:B^-1
A^2:B^2

Answers

I think A^3:B^

Explanation:

It is 3 dimensional, so the surface area would be 3x bigger, so A^3:B^


Help correct get brainly lol

Answers

Answer:

there are seven variable terms

Step-by-step explanation:

variables are letters (a, b, c, etc.)

i hope this helps :)

Answer:

The answer is 4 because are all separate variables (also  combines into one variable)

Step-by-step explanation:

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