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Vinil7 [7]
3 years ago
6

A large ice floe is floating at a speed of 3 kilometers per hour. A polar bear leaves the floe and swims in the opposite directi

on at 9 kilometers per hour. How long will it be before the polar bear is 4 kilometers away from the floe?
How do I do this??? My teacher never teaches me!!
Mathematics
1 answer:
Rainbow [258]3 years ago
4 0
Ok, so the total distance will be 4 kilometers

remember, distance=speed times time

the polar bear's distance=9km/h times t  or  9t
t is time in hours

the floe's distance =3km/hr times t or 3t

total disatace=polar bear disatnce+floe's distance=9t+3t=12t

so when will this distance eqal 4km?
4=12t
divide both sides by 12
4/12=t
1/3=t
about 20 mins or 1/3 hour
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Answer:

Width is 12 inches and height is 4 inches.

Step-by-step explanation:

Let the width of the piece of cardboard be = w inches

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As given, 4 inch squares are cut from each corner;

So, the width is = w-8 inches

Length is = w+12-8=w+4 inches

When we are folding the cut portion, that gives the height as = 4 inches

The volume is given by : length x width x height

And volume is given as 256 cubic inches

So, 256=(w+4)(w-8)(4)

=> 256=(w^{2}-4w-32)4

=> 64=(w^{2}-4w-32)

=> w^{2} -4w=96

or w^{2} -4w-96=0

=> w^{2} -12w+8w-96=0

=> w(w-12)+8(w-12)=0

We get , (w+8)=0 ; w = -8(neglect the negative value)

(w-12)=0 ; w = 12 inches

And length = 12+12=24 inches

Hence, dimensions are : L = 24 inches ; w = 12 inches and h = 4 inches

We can check by putting these values in equation : 256=(w+4)(w-8)(4)

256=(12+4)(12-8)(4)

=> 256=(16)(4)(4)

=> 256=256

5 0
3 years ago
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The second line
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2 years ago
To find the extreme values of a function​ f(x,y) on a curve xequals​x(t), yequals​y(t), treat f as a function of the single vari
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Answer:

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Step-by-step explanation:

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\frac{df}{dt} =\frac{2 \cos t}{-2\sin t} =-\cot(t)

At fixed points, f'(t)=0

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This gives t=\frac{\pi}{2} ,\frac{3\pi}{2} on 0\le t\le 2\pi

This implies that the extreme points are (2\cos \frac{\pi}{2}, 2\sin \frac{\pi}{2})=(0,2) and (2\cos \frac{3\pi}{2}, 2\sin \frac{3\pi}{2})=(0,-2)

By eliminating the parameter, we have x^2+y^2=4

This is a circle with radius 2, centered at the origin.

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7 0
3 years ago
A set of equations is given below:
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If you would like to find a step that can be used to find the solution to the set of equations, you can do this using the following steps:

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Answer:A,B,E

Step-by-step explanation:

7 0
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