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marin [14]
3 years ago
5

Which of the following numbers is prime?

Mathematics
2 answers:
sattari [20]3 years ago
6 0
163 is a prime number because it has no multiples other then one and itself
UkoKoshka [18]3 years ago
3 0
133 can be divided by 7, so it is not prime.

143 can be divided by 11, so it is not prime.

153 can be divided by 3, so it is not prime.

163 can only be divided by 1 and itself, so it is prime.
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A sled is being pulled across a floor by two ropes such that the angle between them is 40°. If the forces on the ropes are 100 p
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option 4 ⇒ 236 lb.

Step-by-step explanation:

Best explanation of the question is as shown in the attached figure.

we will use the parallelogram method to calculate resultant force.

to get the length of the resultant force ⇒ use the cosines law

The cosine law is a² = b² + c² - 2 * b * c * cos (∠A)

Applying at the question where b = F₁  , c = F₂  and  ∠A = ∠x

Given that F₁ = 100 pounds  , F₂ = 150 pounds  and  ∠x = 180° - 40° = 140°

∴ (Resultant force)² = 100² + 150² - 2 * 100 * 150 * cos (∠140) = 55481

∴ Resultant force = √55481 = 235.54 ≅ 236 pounds

The answer is option 4 ⇒ 236 lb.

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