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2 years ago

11

A dolphin is swimming 4 feet below the surface of the water. The number -4 represents the dolphin's position relative to the sur

face of the water. What position does the number 4 represent?

2 answers:

Black_prince [1.1K]2 years ago

8 0

Answer:

4 represent how many feet from surface

Step-by-step explanation:

Illusion [34]2 years ago

8 0

Hi! 4 represents the number the dolphin is above the surface because -4 represents under the surface so 4 represents above. I hope this helps, Goodluck! :)

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Find the rectangular coordinates of the point ( -3, 1/2 π)

alexdok [17]

Answer:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

Step-by-step explanation:

We have the following point given $P = (-3, \frac{\pi}{2})$ and we want to conver from polar to rectangular coordinates and we need to use the following formulas:

$x = r cos \theta$

$y = r sin \theta$

For this case we have that:

$r = -3$

And:

$\theta = \frac{\pi}{2}$

Replacing we got:

$x = -3 cos (\frac{\pi}{2})= 0$

$y = -3 sin (\frac{\pi}{2})= -3$

And then the rectangular coordinates for this case are :

$(x = 0 , y = -3)$

4 0

3 years ago

A man starts walking north at 2 ft/s from a point P. Five minutes later a woman starts walking south at 3 ft/s from a point 500

Vedmedyk [2.9K]

Answer:

The rate at which both of them are moving apart is 4.9761 ft/sec.

Step-by-step explanation:

Given:

Rate at which the woman is walking, $\frac{d(w)}{dt}$ = 3 ft/sec

Rate at which the man is walking, $\frac{d(m)}{dt}$ = 2 ft/sec

Collective rate of both, $\frac{d(m+w)}{dt}$ = 5 ft/sec

Woman starts walking after 5 mins so we have to consider total time traveled by man as (5+15) min = 20 min

Now,

Distance traveled by man and woman are $m$ and $w$ ft respectively.

⇒ $m=2\ ft/sec=2\times \frac{60}{min} \times 20\ min =2400\ ft$

⇒ $w=3\ ft/sec = 3\times \frac{60}{min} \times 15\ min =2700\ ft$

As we see in the diagram (attachment) that it forms a right angled triangle and we have to calculate $\frac{dh}{dt}$ .

Lets calculate h.

Applying Pythagoras formula.

⇒ $h^2=(m+w)^2+500^2$

⇒ $h=\sqrt{(2400+2700)^2+500^2} = 5124.45$

Now differentiating the Pythagoras formula we can calculate the rate at which both of them are moving apart.

Differentiating with respect to time.

⇒ $h^2=(m+w)^2+500^2$

⇒ $2h\frac{d(h)}{dt}=2(m+w)\frac{d(m+w)}{dt} + \frac{d(500)}{dt}$

⇒ $\frac{d(h)}{dt} =\frac{2(m+w)\frac{d(m+w)}{dt} }{2h}$ ...as $\frac{d(500)}{dt}= 0$

⇒ Plugging the values.

⇒ $\frac{d(h)}{dt} =\frac{2(2400+2700)(5)}{2\times 5124.45}$ ...as $\frac{d(m+w)}{dt} = 5$ ft/sec

⇒ $\frac{d(h)}{dt} =4.9761$ ft/sec

So the rate from which man and woman moving apart is 4.9761 ft/sec.

3 0

3 years ago

What number would you add to complete the square? x^2+14x=0

hjlf

You would need to go in the order of pemdas

7 0

3 years ago

Find the area of the shaded figure.

olasank [31]

Answer:

8500 ft²

Step-by-step explanation:

First we need to find the area of the non shaded region within this shaded region. To find the area of this non shaded rectangle, use the formula base×height.

20×100=2000 ft².

Now we need to find the height and width of the shaded region which is,

25+25+20=70 Height

25+25+100=150 Width

mutiply these numbers 150×70=10500 ft²

Now we just need to subtract that inside area.

10500-2000=8500 ft²

5 0

3 years ago

Write each number as a fractions with positive exponents.

boyakko [2]

You can't take away 6 from 2 but you can switch them and get 6-2 and that's =4 10-8=2 7-5=2

8 0

3 years ago