All categories

3 years ago

Select the equivalent expression

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

4 0

Answer:

Step-by-step explanation:

Have a good dayyy :))

You might be interested in

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

If 30% of a number, p, is 240, what is 72% of p? giving brainliest

Mnenie [13.5K]

Answer:

576

Step-by-step explanation:

30/ 100 x p = 240

p = 240 x 100/30 = 800

72/ 100 x p=

72/100 x 800 = 576

I hope im right!!

3 0

3 years ago

Read 2 more answers

The silver town people went to a fancy restaurant after the big event Grammy gave the sever a 15$ tip if she was 20% cost of din

pochemuha

The cost of the dinner was $75

5 0

3 years ago

Read 2 more answers

A medical delivery service charges $10 for a house call plus 0.50 per mile. The situation is represented by the equation y=0.5+1

xeze [42]

Answer:

WHAT IS THE QUESTOIN

6 0

3 years ago

Read 2 more answers

Simplify the expression:<br> 10t - 40 + 3t + t

Pavlova-9 [17]

Answer:

Your <u>correct</u> answer is 14t - 40

Step-by-step explanation:

Combine like terms:

10t + 3t + t = 14t

Since there are no other integers, just tag on the -40:

14t - 40

**please mark brainliest!!

5 0

2 years ago