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VladimirAG [237]
3 years ago
11

A parachutists speed during a free fall reaches 180 kilometers per hour. What is this speed in meters per second? At the speed,

how many meters will the parachutes fall during 2 seconds of freefall. Do not round your answers.
Mathematics
1 answer:
Marysya12 [62]3 years ago
7 0
Does this help you at all??

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Help please:))
Blababa [14]

Answer:

a) Because this asks about the radius and height, I assume that we are talking about a cylinder shape.

Remember that for a cylinder of radius R and height H the volume is:

V = pi*R^2*H

And the surface will be:

S = 2*pi*R*H + pi*R^2

where pi = 3.14

Here we know that the volume is 1000cm^3, then:

1000cm^3 = pi*R^2*H

We can rewrite this as:

(1000cm^3)/pi = R^2*H

Now we can isolate H to get:

H = (1000cm^3)/(pi*R^2)

Replacing that in the surface equation, we get:

S = 2*pi*R*H + pi*R^2

S = 2*pi*R*(1000cm^3)/(pi*R^2) + pi*R^2

S = 2*(1000cm^3)/R + pi*R^2

So we want to minimize this.

Then we need to find the zeros of S'

S' = dS/dR = -(2000cm^3)/R^2 + 2*pi*R = 0

So we want to find R such that:

2*pi*R = (2000cm^3)/R^2

2*pi*R^3 = 2000cm^3

R^3 = (2000cm^3/2*3.14)

R = ∛(2000cm^3/2*3.14) = 6.83 cm

The radius that minimizes the surface is R = 6.83 cm

With the equation:

H = (1000cm^3)/(pi*R^2)

We can find the height:

H = (1000cm^3)/(3.14*(6.83 cm)^2) =  6.83 cm

(so the height is equal to the radius)

b) The surface equation is:

S = 2*pi*R*H + pi*R^2

replacing the values of H and R we get:

S = 2*3.14*(6.83 cm)*(6.83 cm) + 3.14*(6.83 cm)^2 = 439.43 cm^2

c) Because if we pack cylinders, there is a lot of space between the cylinders, so when you store it, there will be a lot of space that is not used and that can't be used for other things.

Similarly for transport problems, for that dead space, you would need more trucks to transport your ice cream packages.

3 0
3 years ago
7) Diego travels from Odessa to el Paso approximately 300 miles apart
bulgar [2K]

Answer:

≈3hrs 45mins

Step-by-step explanation:

d=300 miles

s=80mph

Formula: distance/speed=time

Using the formula:

300/80=3.75 hours

0.75 hours=45mins

(To work that out ^) 0.75=x/60

∴ 60*0.75=45mins

Solution: 3hrs 45mins

3 0
3 years ago
What is the product of −3 1/4 and −1 1/2? Enter your answer as a mixed number, in simplified form, in the box.
Amiraneli [1.4K]

The product of −3 1/4 and −1 1/2  as a mixed number is 4\frac{7}{8}.

The product of −3 1/4 and −1 1/2  as a simplified form is \frac{39}{8}

<h3>What is products and mixed numbers?</h3>

Thew products between two terms can be described as the multiplication operation of the the two terms to give a term which is been performed by the use of the operation sign (*) between the two terms.

The mixed number can be defined as the numbers that contains whole numbers as well as the denominators and numerator.

It should be noted that the product of −3 1/4 and −1 1/2  can be done as (-3\frac{1}{4}  * -1\frac{1}{2}  = -\frac{13}{4} * \frac{-3}{2}  = \frac{39}{8} = 4\frac{7}{8}

Read more on mixed number here: brainly.com/question/21610929

#SPJ1

7 0
1 year ago
A. 13 π<br> B. 6.5 π<br> C. 42.25 π<br> D. 60 π
AleksandrR [38]

Answer:

  • 12^2 + 5^2= c^2
  • c=13
  • Area of circle
  • A= pi× r^2
  • <em>A</em><em>=</em><em> </em><em>42.25</em><em>×</em><em>pi</em>
  • C
  • I do exams and quizzes if your interested, guaranteed A!
3 0
3 years ago
NEED ANSWERS NOW!! (Reward) brainlest and pointsss 27!!!
son4ous [18]

Answer:

quadrant 1 that the graph is mainly in

6 0
3 years ago
Read 2 more answers
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