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3 years ago

This is how dora subtracts 73-26. 73-3=70. 70-?=50. ?-?=? fill in the blanks to solve

Mathematics

1 answer:

olganol [36]3 years ago

7 0

Answer:

73-3=70

70-20=50

50-24=26

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To win a lottery, 7 numbers are drawn at random from a pool of 63 numbers. Numbers cannot repeat. If a person has one ticket,

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Answer:

Step-by-step explanation:

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3 years ago

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GrogVix [38]

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3 years ago

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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

A principal of $2000 is invested at 6% Interest, compounded annually. How much will the investment be worth after 11 years

scoundrel [369]

Answer:

A=3797 dollars

Step-by-step explanation:

A=P(1+r)^t t=time period, r is the rate, P is the principal

A=2000(1+0.06)^11

A=3797 dollars

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3 years ago

1. An airplane moves at a constant speed of 120 miles per hour for 3 hours. How far does it go?d=rt Time Distance 1 hour 120 mil

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Distance = speed rate x time

Speed rate = 120 miles per hour

Time = 3 hours

Replacing:

D = 120 mph x 3 h = 360 miles

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1 year ago