Find length of the hypotenuse in a right triangle with legs of 8cm and 15 cm

Mathematics

2 answers:

enot [183]2 years ago

8 0

Answer:

17 cm

Step-by-step explanation:

The Pythagorean Theorem: $a^2+b^2=c^2$ where a and b are the legs and c is the hypotenuse

Plug in the values of the legs

$8^2+15^2=c^2\\64+225=c^2\\289=c^2\\c=\sqrt{289} \\c=17$

Therefore, the length of the hypotenuse is 17 cm.

I hope this helps!

Brrunno [24]2 years ago

7 0

Answer:

Step-by-step explanation:

h^2=x^2+y^2, in this case

h^2=8^2+15^2

h^2=64+225

h^2=289

h=17cm

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1. Two object accumulated a charge of

In-s [12.5K]

Answer:

The magnitude of the electric force between these two objects

will be: 181.274 N.

i.e. F $=181.274$ N

Step-by-step explanation:

Two object accumulated a charge of 4.5 μC and another a charge of 2.8 μC.

q₁ = 4.5 μC = 4.5 × 10⁻⁶ C

q₂ = 2.8 μC = 2.8 × 10⁻⁶ C

separated distance = d = 2.5 cm

Calculating the magnitude of the force between two charged objects using the formula:

$F = \frac{1}{4\pi \epsilon_0}\frac{q_1 q_2}{r^2}$

$=\:\frac{4.5\times \:\:10^{-6}\:\times \:\:2.8\:\times \:\:10^{-6}}{4\:\times \:\left(3.14\right)\:\times \:\left(8.85\times \:10^{-12}\right)\times \left(2.5\times \:\:10^{-2}\right)^2}$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:4\times \:8.85\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $4.5\times \:10^{-6}\times \:2.8\times \:10^{-6}=10^{-12}\times \:12.6$

$=\frac{10^{-12}\times \:12.6}{10^{-12}\times \:35.4\pi \left(10^{-2}\times \:2.5\right)^2}$ ∵ $\mathrm{Multiply\:the\:numbers:}\:4\times \:8.85=35.4$