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Darya [45]
3 years ago
12

A circle is cut from a square piece of cloth, as shown: How many square inches of cloth are cut from the square? (π = 3.14)

Mathematics
1 answer:
Vinil7 [7]3 years ago
8 0

Answer:

2122.64 in^2

Step-by-step explanation:

Use the formula for the area of a circle: A=πr^2

The radius will be half the width of the cloth so 52÷2=26

26^2=676

Multiply by π given as 3.14

676×3.14=2122.64 square inches.

The symbol (carat) ^ is used to indicate an exponent when the keyboard doesn't have superscript.

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Calculate the velocity of a moving train with a mass 10,000kg and 150,000J of energy.
Viefleur [7K]
Kinetic energy possessed by moving train is E_k = 150000J.

And mass m = 10000kg.

The formula for kinetic energy is E_k = \frac{m\times v^2}{2}.

Solve for velocity:

E_k = \frac{m\times v^2}{2}\implies 2E_k = m\times v^2

v^2=\frac{2E_k}{m}\implies \underline{v = \sqrt{\frac{2E_k}{m}}}

Now put in the data:

v = \sqrt{\frac{2\times150000J}{10000kg}}\approx5.48\frac{m}{s}
5 0
3 years ago
In 2010, the world's largest pumpkin weighed 1,810 kilograms. An average-sized pumpkin weighs 5,000 grams.
Marina86 [1]

1805kg more.  1000g=1kg so 5000g=5kg then 1810kg-5kg=1805kg
8 0
3 years ago
Read 2 more answers
A body moves s metres in a time t seconds so that s = t3 – 3t2 + 8. Find:
Lady bird [3.3K]

Using derivatives, it is found that:

i) v(t) = 3t^2 - 6t

ii) 9 m/s.

iii) a(t) = 6t - 6

iv) 6 m/s².

v) 1 second.

<h3>What is the role of derivatives in the relation between acceleration, velocity and position?</h3>
  • The velocity is the derivative of the position.
  • The acceleration is the derivative of the velocity.

In this problem, the position is:

s(t) = t^3 - 3t^2 + 8

item i:

Velocity is the <u>derivative of the position</u>, hence:

v(t) = 3t^2 - 6t

Item ii:

v(3) = 3(3)^2 - 6(3) = 27 - 18 = 9

The speed is of 9 m/s.

Item iii:

Derivative of the velocity, hence:

a(t) = 6t - 6

Item iv:

a(2) = 6(2) - 6 = 6

The acceleration is of 6 m/s².

Item v:

t for which a(t) = 0, hence:

6t - 6 = 0

6t = 6

t = \frac{6}{6}

t = 1

Hence 1 second.

You can learn more about derivatives at brainly.com/question/14800626

7 0
2 years ago
What's the digit in the tenths place ​
Darya [45]
Tenths is the digit in the tenths place. Like 0.1 being 1 tenth.
5 0
3 years ago
What is the 50th term of the arithmetic sequence having u(subscript)1 = -2 and d = 5
OLga [1]

Answer:

243

Step-by-step explanation:

The general term for this arithmetic sequence is:

a(n) = -2 + 5(n - 1).

Then a(50) = -2 + 5(49) =   243

8 0
3 years ago
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