MATHEMATICS COLLEGE

Pls answer asapA traveler has 9 pieces of luggage.

How many ways can the traveler select 3 pieces of luggage for a trip?

Responses

84

84

504

504

60,480

60,480

362,880

Answers

Answer 1
Answer:

Answer:

84

Step-by-step explanation:

There are 9 pieces of luggage.

We can select the first piece 9 different ways, the second piece 8 different ways, since there are only 8 pieces left.  The third piece can be selected 7 different ways.

9*8*7

504

But order doesn't matter since we are taking 3 pieces.

Divide by (3*2*1)

504/6 = 84

There are 84 different combinations of luggage
Answer 2
Answer:

Answer:

84

Step-by-step explanation:

Trust me

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How many cups are in 3 gallons? 1 gallon = 16 cupsLabel your answer in cups.
A meter is one thousandth of a kilometer. Write an equation to show the relationship between 7 meters and 0.007 kilometer.

What is the solution to 3/4 a>-16?O a>-21/3
O a<-21
O a> 21-1/
O a <21/13

Answers

\huge\text{Hey there!}

\huge\textbf{Equation:}

\mathsf{(3)/(4)a > -16}

\huge\textbf{Simplifying it:}

\mathsf{(3)/(4)a > -16}

\mathsf{(3)/(4)a > - (16)/(1)}

\huge\textbf{Divide \boxed{(4)/(3)} to both sides:}

\mathsf{(4)/(3)*(3)/(4)a > -16*(4)/(3)}

\huge\textbf{Simplify it:}

\mathsf{a > (4)/(3)* -16}

\mathsf{a > - (16)/(1) *(4)/(3)}

\mathsf{a > (-16*4)/(1*3)}

\mathsf{a > (-64)/(3)}

\mathsf{a > -(64)/(3)}

\mathsf{a > -21 (1)/(3)}

\huge\textbf{Therefore, your answer should be:}

\huge\boxed{- \frak{21(1)/(3)}}\huge\checkmark

\huge\text{Good luck on your assignment \& enjoy your day!}

~\frak{Amphitrite1040:)}

(3a)/(4) > - 16 \n 3a > - 64 \n a > ( - 64)/(3) \n a > 21 (1)/(3)

Solve for the indicated variable in each math formula. 1.C=2(3.14)r for r 2.A=1/2bh for b 3.y=Mx+b for x 4.A=1/2(a+b)h for h 5.V(3.14)r(r)h for h

Answers

Answer:

See below

Step-by-step explanation:

1.  C = 2(3.14) for r

   r = C / 3.28

2.  A = 1/2 b h  for b

    b = A2 / h

3.  y = Mx + b for x

    y - b = Mx

    x = (y - b) / M

4.  A = 1/2 (a + b) h for  h

    A = (1/2a + 1/2b)h

    A = 1/2ah + 1/2bh

    A = (a + b) h / 2

    h = 2A / (a + b)

5.  V = (3.14) r² h  for h

   h = V / (3.14 r²)

In a right triangle, Angle A and B are acute. If tan B= 2, what is cos B? Round to three decimal places.Show work plzzz!!!

Answers

The value of cosB ≅ 0.447 to three decimal places.

Since angle A and angle B are acute and tanB = 2, we find cosB from the trigonometric identity

tan²B + 1 = sec²B

Find SecB

So, substituting the value of tanB into the equation, we have

tan²B + 1 = sec²B

2² + 1 = sec²B

4 + 1 = sec²B

5 = sec²B

Taking square root of both sides, we have

√sec²B = ±√5

secB = ±√5

Find CosB

Since secB = 1/cosB, we have that

1/cosB = ±√5

⇒cosB = ±1/√5

Since B is acute, cosB will be positive.

So, cosB = 1/√5

cosB = 1/2.2361

cosB = 0.4472

cosB ≅ 0.447 to three decimal places.

So, the value of cosB ≅ 0.447 to three decimal places.

Learn more about cosine here:

brainly.com/question/10417664

A number line going from negative 10 to positive 10. A point is at negative 6.What is the opposite of the graphed integer?

The opposite is .

Answers

Answer:

6

Step-by-step explanation:

(●'◡'●)

the answer is 6

your welcome!

lol

The height h, in feet, of a ball that is released 4 feet above the ground with an initial velocity of 80 feet per second is a function of the time t, in seconds, the ball is in the air and is given byh(t)=-16t^2+80t+4, 0 < t < 5.04

a. Find the height of the ball above the ground 2 seconds after it is released.

b. Find the height of the ball above the ground 4 seconds after it is released.

Please show work!

Answers

Answer with Step-by-step explanation:

The height of the ball from the ground as a function of time is given by

h(t)=-16t^2+80t+4

The height of the ball at any instant of time can be found by putting the value of time 't' in the above relation as

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16* 2^2+80* 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16* 4^2+80* 4+4=68feet

Answer:

Part a)

Height of ball after 2 seconds it is released is

h(2)=-16\times 2^2+80\times 2+4=100feet

Part b)

Height of ball after 4 seconds it is released is

h(4)=-16\times 4^2+80\times 4+4=68feet

Step-by-step explanation:

Find the area of the shape

Answers

Answer:

The area is 91 cm²

Step-by-step explanation:

The shape is a kite.

area of a kite = ½(p*q)

Where, p and q are the diagonals of the kite.

p = 13 cm

q = 7 + 7 = 14 cm

The area of the kite = ½(13 * 14)

= ½(182)

Area = 91 cm²
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