Trigonometry. This is an Tangent question.​

Answer:

The answer is 364. There are 364 ways of choosing a recorder, a facilitator and a questioner froma club containing 14 members.

This is a Combination problem.  

Combination is a branch of mathematics that deals with the problem relating to the number of iterations which allows one to select a sample of elements which we can term "r" from a collection or a group of distinct objects which we can name "n". The rules here are that replacements are not allowed and sample elements may be chosen in any order.

Step-by-step explanation:

Step I

The formula is given as

[tex]C (n,r) = \frac{n}{r} = \frac{n!}{(r!(n-r)!)}[/tex]

n (objects) = 14

r (sample) = 3

Step 2 - Insert Figures

C (14, 3) = [tex](\frac{14}{3})[/tex] = [tex]\frac{14!}{(3!(14-3)!)}[/tex]

= [tex]\frac{87178291200}{(6 X 39916800)}[/tex]

= [tex]\frac{87178291200}{239500800}[/tex]

= 364

Step 3

The total number of ways a recorder, a facilitator and a questioner can be chosen in a club containing 14 members therefore is 364.

Cheers!

Answer:

36 minutes past 1, or 1:36

Step-by-step explanation:

A watch normally has an hour hand that does one revolution in 12 hours.

It takes 1 hour to go from the 1 o'clock position to the 2 o'clock position.

Since 1 hour equals 60 minutes, it takes 60 minutes to go from the 1 o'clock position to the 2 o'clock position.

The hour hand is 3/5 of the way from 1 to 2, so the number of minutes past 1 o'clock is 3/5 of 60 minutes.

3/5 of 60 minutes =

= 3/5 * 60 minutes

= 3/5 * 60/1 minutes

= 180/5 minutes

= 36 minutes

The time is 36 minutes past 1, or 1:36

[tex]\text{You would use the distributive property to get your answer} \\\\\text{This means that you would distribute the 5 to the numbers inside the}\\\text{parenthesis}\\\\\text{When you distribute, you would multiply}\\\\\text{Distribute:}\\\\5(6-1)\\\\5(6)-5(1)\\\\30-5\\\\\text{You would see that this is equal to answer choice C, therefore making}\\\text{C your answer}\\\\\boxed{\text{C). 30 - 5}}[/tex]

Answer:

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

Step-by-step explanation:

Given a second order polynomial expressed by the following equation:

[tex]ax^{2} + bx + c, a\neq0[/tex].

This polynomial has roots [tex]x_{1}, x_{2}[/tex] such that [tex]ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})[/tex], given by the following formulas:

[tex]x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}[/tex]

[tex]\bigtriangleup = b^{2} - 4ac[/tex]

In this question:

[tex]g(x) = 3x^{2} - 42a + 135[/tex]

So

[tex]a = 3, b = -42, c = 135[/tex]

[tex]\bigtriangleup = (-42)^{2} - 4*3*135 = 144[/tex]

[tex]x_{1} = \frac{-(-42) + \sqrt{144}}{2*3} = 9[/tex]

[tex]x_{2} = \frac{-(42) - \sqrt{144}}{2*3} = 5[/tex]

So

g(x) = 3(x-9)(x-5)

Zeros: x = 9 and x = 5.

Answer:

$ 7,299.92

Step-by-step explanation:

A = $ 7,299.92

A = P + I where

P (principal) = $ 6,000.00

I (interest) = $ 1,299.92

Answer:

1. given

2. bisected angles create two congruent angles

3. same side length

4. ASA: angle, side, angle congruency

5. the two triangles are congruent, meaning all of their side lengths correspond, meaning that YZ and WZ are equivalent.

Answer:

1/9

Step-by-step explanation:

The area of a polygon is the old area multiplied by the scale factor squared

New area = old area ( SF) ^2

The scale factor is 1/3

(1/3) ^2 = 1/9

The fraction is 1/9

Answer:

this answer is attached to the picture

Radical function or values are values inside the square root. This shows that the cube root of the given value is 3

Radical function or values are values inside the square root. For instance;

√a is a radical function.

According to the law of indices

a^1/3 = ∛a

Given the expression

27^1/3 = ∛27

∛27 = 3

This shows that the cube root of the given value is 3

Learn more on radical function here:https://brainly.com/question/13430746

Answer:

13

Step-by-step explanation:

use Pythagorean

it is usually, 5, 12, 13

Answer: The price of the stock yesterday was $78.59

Step-by-step explanation:

p - 6.28=72.31

   +6.28   + 6.28

p= 78.59

Answer:

78.59$

Step-by-step explanation:

p-6.28=72.31

p=72.31+6.28

p=78.59$

Step-by-step explanation:

a= the height of the triangle=h

[tex]h^{2} = ef[/tex]

by ef, e= 18 & f=4

so...

[tex]h^{2} = 18 \times 4 = 72[/tex]

so you put both of them in a square root

[tex] \sqrt{h} = \sqrt{72}[/tex]

so the answer will be

[tex]h = \sqrt{72} = 6 \sqrt{2} [/tex]

Answer:

The answer is A

Step-by-step explanation:

Edg2020

Answer:

1/2

Step-by-step explanation:

When you find the sine of an angle, it is the opposite side / hypotenuse. This means that the hypotenuse of this triangle is 2 and the side opposite to 60° is √3. This means that the side adjacent to 60° is 1 (Pythagorean Theorem). When you find the cosine of an angle, it is the adjacent side / hypotenuse, which in this case will be 1 / 2. Hope this helps!

Answer:

1/2.

Step-by-step explanation:

Sine = opposite side / hypotenuse.

The side opposite 60 degrees has length√3 and the hypotenuse = 2.

By Pythagoras the side adjacent to the angle 60 = √( 2^2 - 3)

= 1 unit.

So cos 60 = adjacent / hypotenuse = 1/2.

Answer:

The answer is 2,142.

Step-by-step explanation:

Mark me brialianist of its right

Step-by-step explanation:

31/2×5/23 (use reciprocal)

31×5=155

155÷46=3.369565217

155/46

3 and 17/46

Answer:

562

Step-by-step explanation:

if 240 equals 100

Answer:

Step-by-step explanation:

18 degrees

Answer:

the answer is 30% of the workers have output more than 70 units.

Step-by-step explanation:

Answer: I believe the answer is 25%.

Answer: 458

Simplify

8³=8×8×8

Multiply

8×8×8=512

10×5=50

Subtract

512-50=462

462-4=458

Answer:

458

Step-by-step explanation:

8×8×8=512

10×5=50

512- 50 = 462

462-4= 458

Answer:

2989.12

Step-by-step explanation:

238.00+232.50+54.88+236.00= 760.88

3750-760.88=2989.12

Answer:

You have three card : 3, 4, 5 and 6.

You first pick one card randomly, the probability of picking a 3 is:

P = 1/4

You then pick a second card without putting the first card back, the probability of picking a 3 is:

P = 1/3

=> The probability of picking a 3 and then picking a 3:

P = (1/4) x (1/3) = 1/12

Hope this helps!

:)

Answer:

x=-60/24 or -5/2

Step-by-step explanation:

u have to find X

2/4x - 1/2 = 1/3 + 5/6x

subtract 2/4x from both sides

to do that u need to have common denominator

2/4= 6/12

5/6=10/12

-1/2=1/3+4/12x

subtract 1/3 on both sides and u need common denominator

-1/2=-3/6

1/3=2/6

-5/6=4/12x

multiply 12/4 on both sides

x=-60/24

Answer:

x=-5/2

Step-by-step explanation:

2/4x-1/2=1/3+5/6x

-5/6x           -5/6x

2/4x-5/6x-1/2 =1/3

+1/2                  +1/2

6/12x-10/12x=2/6+3/6

-4/12x=5/6

x=5/6:(-4/12)=5/6*(-12/4)=-5/2

x=-5/2

Answer:

A

Step-by-step explanation:

If the airplane is 30,000 feet above the air and descends 2,000 feet it's going down 2,000 feet per minute and cause we don't know how many minutes he was going down we put that as x. and multiply 2,000 for what ever x is.

Answer:

14.67ft of tape

Step-by-step explanation:

4.8+9.87=14.67

Answer:

42 cm

Step-by-step explanation:

the first triangle is 7 times bigger than the second triangle. ( 4 x 7 = 28)

so to find out line EG, you times 6 cm by 7. which is 42

Answer:

5/16 and 3/8 are two

Step-by-step explanation:

idk a third

Answer:

5.83

Step-by-step explanation:

[tex]c=\sqrt{a^2+b^2\\} =\sqrt{3^2+5^2}\\=5.83[/tex]

Answer:

5.83

Step-by-step explanation:

rs²=3²+5²

rs²=9+25

rs²=34

rs=5.83

Answer:

Cylinder B has a greater volume

Step-by-step explanation:

Volume of a cylinder[tex]=\pi r^2h[/tex]

Cylinder A

h=5m, r=3m

Volume

[tex]=3.14 *3^2*5\\=141.3m^3[/tex]

Cylinder B

h=3m, r=5m

Volume

[tex]=3.14 *5^2*3\\=235.5m^3[/tex]

Cylinder B has a greater volume.

Answer:

A

Step-by-step explanation:

This is because vertical angles are always congruent, they cross diagonally which makes them equal to each other.

When two perpendiculars line intersect the angles formed must be a right angle. Hence option b is correct.

The angle can be defined as the one line inclined over other line.

Here, When perpendicular lines intersect each other the angle formed between them is 90 degree. So the angles are right angles.

Thus, when two perpendiculars line intersect the angles formed must be a right angle.

Learn more about angles here:
https://brainly.com/question/13954458

#SPJ2

=x^5+2x^3+1+x÷×

Step-by-step explanation:

x^4+2x^2+(1÷x)+1

make 1÷x a fraction

x^4+2x^2+1/x+1

=x5+2x^3+1+x/x