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salantis [7]
3 years ago
11

What is 6.62 x 10 ^5 written in standard form? A) 662 B) 33.1 C) 66,200 D) 662,000

Mathematics
1 answer:
igor_vitrenko [27]3 years ago
5 0
The answer is B 33.1
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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.

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3 years ago
Can someone pls help me!! :((
Papessa [141]

Answer:

Whats the question so that I can help?

Step-by-step explanation:

5 0
3 years ago
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Given a non-zero rational number, a, and an irrational number, b, what can be said about the product of a and b?
laiz [17]

Answer:

The product of a non-zero rational number and an irrational number is irrational.

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2 years ago
Вычислите: 1) 1/2×2/3×3/4-2/3×3/4×4/5-3/4×4/5×5/6​
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Answer:

= -13 / 20

Step-by-step explanation:

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Triangle TRI has a base of m centimeters and a height of n centimeters. Rectangle RECT has a length of n centimeters and a width
hram777 [196]
The area of the triangle is 
a=( m x n) /2  in cm² , implies   2xa = m xn
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A= n x m  in cm²
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that means  the surface of the rectangle is 2 times of the area of the triangle
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