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3 years ago

Q5) 60% of a number is 54. What is 50 % of the same?

Mathematics

2 answers:

Ksivusya [100]3 years ago

7 0

Answer:

Step-by-step explanation:

we multiply 50 by 54 and divide 60 my the number you get after multiplying

so 50*54/60 that is 45

fomenos3 years ago

3 0

Answer:

This is the answer of your question. ☺☺

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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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4 years ago

The measure of an obtuse angle is greater than 0 and less than 90 degrees 90 degrees greater than 90 and less than 180 degrees

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The measure of an obtuse angle is greater than 90 degrees and less than 180 degrees.

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3 years ago

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2) Solve the linear equation 2(3x + 2) = 2x - 1+x

alexandr402 [8]

Solving for x right?
2) 6x + 4 = 3x - 1
6x - 3x = -1 - 4
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x = - 5/3

3) x - 9 = 3/5x
5(x-9) = 3x
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x = 45/2

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3 years ago

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soldi70 [24.7K]

Answer:

x = 54° y = 126°

Step-by-step explanation:

Interior angles of a triangle = 180°

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Jack is at the zoo looking up at a monkey

sasho [114]

The height of the pole at which the monkey is at the top is 10.2 feet.

<h3>Trigonometric ratio</h3>

Trigonometric ratio is used to show the relationship between the angles and sides of a right angled triangle.

Let h represent the height of the pole, hence using trigonometric ratio:

tan(23) = h/24

h = 10.2 feet

The height of the pole at which the monkey is at the top is 10.2 feet.

Find out more on Trigonometric ratio at: brainly.com/question/4326804

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2 years ago

Q5) 60% of a number is 54. What is 50 % of the same?​

Q5) 60% of a number is 54. What is 50 % of the same?