Find the value of the trigonometric ratio.

9514 1404 393

Answer:

Step-by-step explanation:

1. Adding the numbers of those who study a given subject counts ...

That total is 40 +48 +44 = 132. When we subtract from this the total number of students, we get 132 -80 = 52, the number who study exactly 2 subjects plus twice the number who study all three.

From this, we can subtract the number who study exactly 2 subjects, leaving twice the number who study all three. 52 -32 = 20. So, 10 students study all three subjects.

__

2. Adding the numbers of those who study physics and another subject, we have 20+24 = 44. Subtracting twice the number who study all three gives the total of those how study only two subjects, one of which is physics. That total is 44 -20 = 24. So, of those 32 who study exactly two subjects, the remaining 32 -24 = 8 must be students who study only math and chemistry.

_____

It may be helpful to see the matrix of equations the problem statement describes. If we use the variables m, p, c, mp, mc, pc, mpc in that order to represent numbers of 1-subject, 2-subject, and 3-subject students, the augmented matrix looks like this.

  [tex]\left[\begin{array}{ccccccc|c}1&1&1&1&1&1&1&80\\0&1&0&1&0&1&1&40\\1&0&0&1&1&0&1&48\\0&0&1&0&1&1&1&44\\0&0&0&1&0&0&1&20\\0&0&0&0&0&1&1&24\\0&0&0&1&1&1&0&32\end{array}\right][/tex]

The solution is m=20, p=6, c=12, mp=10, mc=8, pc=14, mpc=10. The bold values are the ones this question is asking about.

Answer:

2340

Step-by-step explanation:

23,400 divided by 10 is how you find the percentage

Have a good day fam

Answer:

Kate owns Brain $5

Step-by-step explanation:

Answer:

Total tax deduction per paycheck:

= Weekly pay * FICA tax rate.

Weekly pay $198.00:

= 198 * 7.65%

= 15.147

= $15.15

Weekly pay $340.00:

= 340 * 7.65%

= $26.01

Weekly pay $250.00:

= 250 * 7.65%

= 19.125

= $19.13

Answer:

Deduction for pay check $198 = $15.15

Deduction for pay check $340 = $26.01

Deduction for pay check $250 = $19.13

Step-by-step explanation:

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

83.6 pounds

Step-by-step explanation:

1 kg = 2.2 pounds

38 x 2 = 76

.2 x 38 = 7.6

76 + 7.6 is 83.6

Answer:

[tex]\frac{36t^2}{6^t} ~~ Not ~Equivalent[/tex]

[tex]\frac{6t^2}{36^t} ~ ~Equivalent[/tex]   ✔︎

[tex]6^{t^2} *36^t ~~ Not~ Equivalent[/tex]

᪥༄᪥༄᪥༄᪥༄᪥༄᪥༄

Hope it helps...

Have a great day!!.

Answer:

Mizuki is here to help! The answer is 8!

Step-by-step explanation:

5 + 30 ÷ 10 =

5 + 3 =

8

Remember PEMDAS!

Answer: The answer is 3 remainder 5 or 3.5

Step-by-step explanation: 5 plus 30 is 35 divided by 10 equals 3 with a remainder of 5! Hope this helps.

You would get something like this. This is because with the first kid, they can get either Heads or Tails, two possibilities.

After this, the second kid can also cause either Heads or Tails but they are building on what the first kid had already done, so four possibilities.

Thsi keeps on multiplying on and on by 2 the more kids who flip a coin.

The probability exists a branch of mathematics in which the events of investigations happening exist estimated.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Probability exists the analysis of the circumstances of event of a result, which exists received by the ratio between favorable cases and possible cases.

b) 50% probability that Dan and randy will flip the same thing.

25% of heads and 25% of tails.

Complete question:

Peter, Dan, Harold, and Randy each have a nickel. All four of them flip their nickels at the same time.

a. Draw a tree diagram of all the combinations possible when the four boys flip their coins.

b. What is the probability that Dan and Randy will each flip the same thing. (Either they will both flip 'heads' or they will both flip 'tails'.)

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Answer:

15

Step-by-step explanation:

Opposite angles in a parallelogram are equal. (this is a parallelogram because it has 2 pairs of parallel sides.)

So

3x+2=47

3x=45

x=45/3

x= 15

Answer:

A. 4

Step-by-step explanation:

3(4)=12

12=12

........

Answer:

The number is 9.

Step-by-step explanation:

Using algebra, let c be the number you are finding.

2c -3 = 15

2c = 18

c = 9

Hence, the number is 9.

9514 1404 393

Answer:

  9. about 5.785712587

  10. 1023

Step-by-step explanation:

The sum of n terms of a geometric series with first term a₁ and common ratio r is given by ...

  [tex]S_n=a_1\times\dfrac{r^n-1}{r-1}[/tex]

__

9. a₁ = 9/2, r = 2/9

  [tex]S_{10}=\dfrac{9}{2}\cdot\dfrac{1-(2/9)^{10}}{1-(2/9)}=\dfrac{498111911}{86093442}\approx5.785712587[/tex]

__

10. a₁ = -3, r = -2

  [tex]S_{10}=-3\cdot\dfrac{(-2)^{10}-1}{-2-1}=1023[/tex]

Answer:

QS = 12

Step-by-step explanation:

Hello!

We can see that QS is the sum of QR and RS, which is equal to 6x.

We can substitute the given values to solve for x, and then use that to find QS.

The value of x is 2. We can now find QS by substituting 2 for x in 6x.

QS = 12.

Explanation is[tex]^{}[/tex] in a file

bit.[tex]^{}[/tex]ly/3gVQKw3

Answer:

yes

Step-by-step explanation:

Rolling a number less than 1 on a standard six-sided die, numbered

from 1 to 6 is an impossible situation.

Suppose we have a coin with sides heads and tails then the occurrence of a head or a tail is a sure event.

If we observe the given options we can conclude that Rolling a number less than 1 on a standard six-sided die, numbered from 1 to 6 is an impossible situation as we couldn't get a number less than 1 on the die not possible right?

All the other options seem possible in some different ways but the first option is an impossible situation.

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Equations go into one of two categories: identities or conditional equations. An identity holds true for each value of the variables. A conditional equation is valid only for certain values of the variables.

An equation is a mathematical formula that connects two assertions using the equal sign (=) to denote equivalence. In algebra, an equation is a mathematical statement that establishes the equivalence of two mathematical expressions. For instance, an equal sign separates the components 3x + 5 and 14 in the equation 3x + 5 = 14. A mathematical formula is used to explain the connection between two sentences on either side of a letter. Frequently, there is just one variable, which is also the symbol. for example, 2x - 4 = 2.

Finding the variables' values that cause the equality to be true is the first step in solving an equation with variables. The variables for which the equation must be solved are also known as the unknowns, and the unknowns' values that fulfill the equality are known as the equation's solutions. Equations can be categorized as either identities or conditional equations. For each value of the variables, an identity holds true. Only specific values of the variables make a conditional equation true.

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Answer: 244608

Step-by-step explanation: Multiply all of the numbers!

Answer:

I think it’s 244608

Step-by-step explanation:

Big number XoX

Answer:

1. 8x + 2y = 16

Step-by-step explanation:

3x - 12y = 10

12y = 3x - 10

y = 1/4 x - 5/6  .... slope: 1/4

perpendicular line slope: -4

8x + 2y= 16

2y = -8x + 16

y = -4x + 8  .... slope: -4

The angle at the center of the circle will be;

⇒ θ = 0.5 radian

The circle is a closed two dimensional figure , in which the set of all points is equidistance from the center.

Given that;

A sector of a circle of radius 10 cm and has an area of 25 cm².

Now,

Since, We know that;

⇒ A = 1/2 r²θ

Where, A is area of circle , r is radius of circle and θ is the angle at the center of the circle.

Here, A sector of a circle of radius 10 cm and has an area of 25 cm².

Substitute all the given values, we get;

⇒ A = 1/2 r²θ

⇒ 25 = 1/2 × 10² × θ

⇒ 25 = 50 × θ

⇒ θ = 25 / 50

⇒ θ = 0.5 radian

Thus, The angle at the center of the circle = 0.5 radian

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Step-by-step explanation:

let Remus' money be = y

Aaron's = 5/7 y

3/5 * 5/7 y = 3/7 y

balance= 2/7 y

y - 2/7y = 2820

5/7 y= 2820

y = 2820*7/5= 564*7 = 3948

Answer:

Step-by-step explanation:

AR⊥RS (tangent line is ⊥ to radius of the circle)

BS ⊥ RS (tangent line is ⊥ to radius of the circle.)

∴ AR and BS ⊥ to same line RS.

Hence either AR and BS are in same line  or parallel.

But they are radii of different circles.

∴ AR ║BS

The other dude is right, there is no point putting the same answer.

Answer:

#1

#2

#3

#4

#5

#6

Answer:

B??

Step-by-step explanation:

Sorry if i'm wrong! :(

Answer:

D

Step-by-step explanation:

i just took the test:)

Answer:117649

Step-by-step explanation:

Answer:

74 ft^2

Step-by-step explanation:

Area of bottom: 4 x 5 = 20

Area of right side: 5 x 3 = 15

Area of left side: 15

Area of front: 4 x 3 = 12

Area of back: 12

Total: 74

Answer:

x = 1.732051

Step-by-step explanation:

The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .

To find the fitted value when x² = 3, we need to take the square root of both sides of the equation.

√(x²) = √3

Since x² is a positive value, the square root of x² will be the positive and negative square root of 3.

x = ±√3

Therefore, the fitted values when x² = 3 are x = √3 and x = -√3.

√3 = 1.732

x = 1.732 or x = - 1.732

The fitted values when x² = 3 are x = 1.732 or x = - 1.732 .

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Answer:

It is the case of dependent probability sl i think you need to multiply the two probabilities (not sure)