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Yuliya22 [10]
2 years ago
15

To the Pythagorean Theorem

Mathematics
1 answer:
Aloiza [94]2 years ago
4 0

Answer:

x = 29

Step-by-step explanation:

c^{2} = a^{2} + b^{2}

c^{2} = 20^{2} + 21^{2}

c^{2} = 400 + 441

c^{2} = 841

\sqrt{c^2} = \sqrt{841}

c = 29

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40 days

Step-by-step explanation:

8 and 5 have forty in common so yea forty days

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3 years ago
Simplify (question is in the picture)
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Domain:<br> Range:<br> Increasing:<br> Decreasing:
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Answer:

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3 0
3 years ago
A truck weighing 150kN and travelling at 2m/sec impacts with a buffer
FrozenT [24]

The maximum compression of the spring is 0.276 m

Step-by-step explanation:

First of all, we calculate the spring  constant of the spring, by using Hooke's law:

F=kx

where

F = 10 kN = 10,000 N is the force applied

x = 1.25 cm = 0.0125 m is the corresponding compression of the spring

k is the spring constant

Solving for k,

k=\frac{F}{x}=\frac{10,000}{0.0125}=8\cdot 10^5 N/m

When the truck impacts with the spring, all the kinetic energy of the truck is converted into elastic potential energy of the spring, so we can write

\frac{1}{2}mv^2=\frac{1}{2}kx^2 (1)

where

m is the mass of the truck

v = 2 m/s is the initial speed of the truck

k=8\cdot 10^5 N/m is the spring constant

x is the compression of the spring

The mass of the truck can be found from its weight:

m=\frac{W}{g}=\frac{150,000 N}{9.81 N/kg}=15,290 kg

So now we can re-arrange eq.(1) to find the compression, x:

x=\sqrt{\frac{mv^2}{k}}=\sqrt{\frac{(15,290)(2)^2}{8\cdot 10^5}}=0.276 m

Learn more about kinetic energy:

brainly.com/question/6536722

#LearnwithBrainly

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3 years ago
56/7 Find the whole number equal to the fraction below
m_a_m_a [10]

Answer:

8

Step-by-step explanation:

56 ÷ 7 = 8

7 0
3 years ago
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