3 years ago

How many distinct triangles can be formed for which m∠A = 75°, a = 2, and b = 3?

1 answer:

8 0

We can use the Sine Law:a / sin A = b / sin B2 / sin 75° = 3 / sin B2 / 0.966 = 3 / sin B ( after that we will cross multiply )
2 sin B = 3 · 0.9662 sin B = 2.898sin B = 2.898 : 2sin B = 1.499 > 1 ( it is not possible )Answer: A ) No triangles can be formed.

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Peter purchased 14 new baseball cards for his collection. This increased the size of his collection by 35%. How many baseball ca

Vlad [161]

Answer:

<em>Peter now has 54 baseball cards</em>

Step-by-step explanation:

<u>Percentages</u>

Assume Peter had x baseball cards in his collection. The 35% of his initial collection is

35 * x / 100= 0.35x

We know that those 14 new baseball cards represent a 35% of his previous collection, therefore we can set a simple equation

0.35x=14

When we solve for x, we'll know how many baseball cards Peter had before