how to find the trigonometric ratio

Given:

Violinists : Cellists = 7:3.

Number of violinists in the school orchestra = 21

To find:

The combined number of cellists and violinists.

Solution:

Let the number of violinists and cellists in the school orchestra are 7x and 3x respectively.

Then, combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=7x+3x[/tex]

[tex]\text{Combined number of cellists and violinists}=10x[/tex]      ...(i)

Number of violinists in the school orchestra = 21

[tex]7x=21[/tex]

Divide both sides by 7.

[tex]x=3[/tex]

Now, the combined number of cellists and violinists is

[tex]\text{Combined number of cellists and violinists}=10(3)[/tex]    [Using (i)]

[tex]\text{Combined number of cellists and violinists}=30[/tex]

Therefore, the combined number of cellists and violinists is 30.

Answer:

3/12 = 2/8

Step-by-step explanation:

Answer:

25 red flowers

Step-by-step explanation:

red yellow

5 10

5 10

5 10

5 10

5 10

red=5+5+5+5+5=25

Answer:

d

Step-by-step explanation:

the answer is 10 (:

Answer:

$234 per week.  (gross).

Step-by-step explanation:

Total earned for the 12 weeks =  18 * 12 * 13 = 2808

Gross pay = 2808 / 12 = $234

Answer:

me too

Step-by-step explanation:

Meeee toooooooo!!!,!,!,!,!,,,,!,!!,!!!!

Answer:

7.4 L per minute

Step-by-step explanation:

Volume of air = 37 L

Time = 5 minutes

What is the te of change of volume of air per minute?

Rate of change of volume of air per minute = Volume of air / Time

= 37 L / 5 minutes

= 7.4 L/minutes

That is, the rate of change of volume of air = 7.4 L per minute

Answer:

what he said

Step-by-step explanation:

Answer:

You are finding the intersection point of the system of linear equations.

Step-by-step explanation:

You can use methods like substitution, elimination, and/or equal values to find the solution for the system of linear equations.

Answer: y = 420x

Step-by-step explanation:

y = Total pay

x = Number of weeks

420 = Number of dollars per week of net pay

Answer:

Use Mathaway and write the equation

Step-by-step explanation:

Answer:

x = -2.3

Step-by-step explanation:

-3x + 4 = 6

Subtract 4 from both sides.

-3x = 2

Divide both sides by -3

x = -2/3

Answer:

31, 33, 35

Step-by-step explanation:

Let 2n+1 be the first odd number. What will the next one be? Add two:

Let 2n+3 be the next odd number. Again, what is the next one? Add two:

Let 2n+5 be the third odd number.

The sum of those three numbers must be 99. You don't have to have the parenthesis here, but I think they help clarify where everything comes from.

(2n+1) + (2n+3) + (2n+5) = 99

Add like terms, and solve for n:

6n + 9 = 99

6n = 90

n = 15

The three odd numbers we want are:

2(15)+1 = 31

2(15)+3 = 33

2(15)+5 = 35

Double check: 31+33+35 = 99?

Answer:15+84

35+64

79+20

Step-by-step explanation:

Answer:

[tex]Area = 0.785cm^2[/tex]

Step-by-step explanation:

Given

[tex]r = 1cm[/tex] -- radius

[tex]\theta = 90^{\circ}[/tex]

Required

Determine the area of the sector

This is calculated as:

[tex]Area = \frac{\theta}{360} * \pi r^2[/tex]

Substitute values for r and [tex]\theta[/tex]

[tex]Area = \frac{90}{360} * \pi * (1)^2[/tex]

Simplify 90/360

[tex]Area = \frac{1}{4} * \pi * (1)^2[/tex]

[tex]Area = \frac{1}{4} \pi[/tex]

Take [tex]\pi[/tex] as 3.14

[tex]Area = \frac{1}{4} * 3.14[/tex]

[tex]Area = 0.785cm^2[/tex]

Answer:

The diameter of an atom is 25000  times the diameter of a pearl.

Step-by-step explanation:

Given that,

The diameter of a pearl is [tex]4\times 10^{-14}\ cm[/tex]

The diameter of an atom is [tex]10^{-11}\ m=10^{-9}\ m[/tex]

Taking the ratio,

[tex]\dfrac{\text{diameter of an atom}}{\text{diameter of a pearl}}=\dfrac{10^{-9}\ m}{4\times 10^{-14}\ m}\\\\=25000[/tex]

So, the diameter of an atom is 25000  times the diameter of a pearl.

Answer:

Just put the money divided by the percent in a calculator-

Step-by-step explanation:

:/

Answer:

tbh I think its the middle one

Step-by-step explanation:

Answer:

2,3,1

Step-by-step explanation:

1 => 25-3=22

2 => 5-6 = -1

3 => 5- -3 = 8

9514 1404 393

Answer:

  3 minutes

Step-by-step explanation:

Let x represent Alysha's time to drive home from the market.

Speed and time are inversely proportional to each other (for the same distance), so we have ...

  (walking speed)(walking time) = (driving speed)(driving time)

  5(x +21) = (8·5)(x)

  x +21 = 8x . . . . . . . . . divide by 5

  21 = 7x . . . . . . . . subtract x

  3 = x . . . . . . .divide by 7

It takes Alysha 3 minutes to drive home from the market.

Answer:4,4

Step-by-step explanation:

Answer:

d.exponential because as x increases by 1 y is multiplied by 3

Step-by-step explanation:

hope it help

Answer:

F = [tex]\frac{k}{d^2}[/tex]

Step-by-step explanation:

The equation of proportionality is

F = k × [tex]\frac{1}{d^2}[/tex] = [tex]\frac{k}{d^2}[/tex] ← k is the constant of proportion

Answer:

-1 = x

Step-by-step explanation:

Distribute 2 into x - 10 first to get to this equation which is -22 = 2x - 20.  Add 20 on both sides to get -2 on the left side.  Divide 2 on both sides to get your x-value which is -1.

Answer:

35:42=20:24

Hope this helps!

Answer:

the answer is 22

you can put it on a calculator

Answer:

[tex]\Huge\boxed{\$ 12.12}[/tex]

Step-by-step explanation:

In order to find how much credit is left after 92 minutes, we need to

1.  Figure out the equation that describes this graph (since we don't know the y-intercept)

2. Find the credit remaining after 92 minutes using the equation formed.

First things first is to figure out the slope of this graph. Since this is a linear function, the slope will remain constant, and we can note something about slope here.

The slope of a line will be it's change in x divided by its change in y, often referred to with a formula.

[tex]\frac{\Delta y}{\Delta x}[/tex]

Since we know two points on this graph, we can find the changes in the x and y then divide for the slope.

Since minutes used is the x, and credit left is the y, we have two points.

(41, 19.26) and (68, 15.48).

The slope will then be [tex]\frac{-3.78}{27}[/tex] which comes out to be -0.14.

Now that we know the slope, that means our equation will look something like [tex]y = -0.14x+b[/tex] - however, we still have b to solve for!

To solve for it, we can substitute one of our points in - let's do (41, 19.26) - to the equation and solve for b.

Now that we know that b = 25, we can plug it into our equation, making the final equation that represents this scenario

[tex]y = -0.14x+25[/tex]

Now that we know the equation to our graph, we can substitute in 92 minutes as the x value to find our y value (credit left).

Therefore, after 92 minutes, the amount of credit left is $12.12

Hope this helped!

Answer:

65.8° and 114.2°

Step-by-step explanation:

Suplementary angles sum 180°

then:

a + b = 180°   eq 1

a = b - 48.4     eq 2

replacing the value of eq 2 in eq 1:

(b-48.4) + b = 180°

2b - 48.4 = 180°

2b = 180 + 48.4

2b = 228.4

b = 114.2°

from the eq. 1

a = b - 48.4

a = 114.2 - 48.4

a = 65.8°

Check:

114.2° + 65.8° = 180°

Answer:

4 1/2 maybe

Step-by-step explanation:

Answer ...

Step-by-step explanation: Cheating on your test I see.

Answer:

f(g(x)) = 3x + 1

Step-by-step explanation:

To find f(g(x)), substitute x = g(x) into f(x), that is

f(x + 1)

= 3(x + 1) - 2

= 3x + 3 - 2

= 3x + 1

Answer:

A

Step-by-step explanation:

might be wrong