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2 years ago

In a wildlife park, there were 18 gray wolves. After three years, there were 27 gray wolves. What is the percent gain?

Mathematics

2 answers:

Tju [1.3M]2 years ago

8 0

Answer:

50%.

Step-by-step explanation:

Gain as a fraction is (27-18) /18

= 9/18

= 1/2.

Percent gain = 1/2 * 100 = 50%.

natulia [17]2 years ago

4 0

27-18=9 (difference between)
9/18=0.5 (9 as a percentage of original as a decimal)
0.5x100=50 (as a percentage)

50% increase

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djverab [1.8K]

Answer:

Step-by-step explanation:

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A is wrong since the scaled perimeter is actually smaller.

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2 years ago

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Answer:

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Step-by-step explanation:

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1 year ago

A ball is tossed between three friends. The first toss is 8.6 feet, the second is 5.8 feet, and the third toss is 7.5 feet, whic

Rainbow [258]

angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

Step-by-step explanation:

Here , We have a triangle with sides of length 8.6 feet, 5.8 feet and 7.5 feet.

The Law of Cosines (also called the Cosine Rule) says:

$c^2 = a^2 + b^2 - 2ab (cosx)$

Using the Cosine Rule to find the measure of the angle opposite the side of length 8.6 feet:

⇒ $c^2 = a^2 + b^2 - 2ab (cosx)$

⇒ $c^2 -a^2 - b^2 = -2ab (cosx)$

⇒ $(cosx) =\frac{ c^2 -a^2 - b^2}{ -2ab}$

⇒ $(cosx) =\frac{(8.6^2 - 5.8^2 - 7.5^2)}{ ( -2(5.8)7.5)}$

⇒ $(cosx) =0.18310$

⇒ $cos^{-1}(cosx) = cos^{-1}(0.18310)$

⇒ $x = 79.45$

The Law of Sines (or Sine Rule) is very useful for solving triangles:

$\frac{a}{sin A} = \frac{ b}{sin B} = \frac{c}{sin C}$

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⇒ $sin Y = \frac{(7.5 (sin 79.45))}{ 8.6}$

⇒ $Y = 59.02 degrees$

So, the third angle = $180 - 79.45 - 59.02 = 41.53 degrees.$

Therefore, angles formed by these tosses are $79.45, 59.02$ and $41.53$ degrees to the nearest hundredth.

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3 years ago

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Answer:

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Step-by-step explanation:

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