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Ksivusya [100]
3 years ago
15

Can you help me find length bc please!!!!

Mathematics
1 answer:
masya89 [10]3 years ago
6 0

Remark

You are dealing with a right angle triangle. You can use one of Sin(x) Cos(x) or Tan(x). Since the Hypotenuse is involved and since you are given the adjacent side, Cos(71) is what you will need.

Solution

H = BC

Cos(x) = adjactent / hypotenuse

Cos(71) = 6.3 / H            Multiply both sides by H

H * Cos(71) = 6.3            Divide by Cos(71)

H = 6.3 / cos(71)             Cos(71) = 0.32557

H = 6.3 / 0.32557          Divide

H = BC = 19.351                       Answer

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Answer:

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A marine biologist monitors the population of sunfish in a small lake. He records 800 sunfish in his first year, 600 sunfish in
Colt1911 [192]

Answer:

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The population on the first year (y = 0) was 800

The population in the second year (y = 1) was 600.

The ratio in which the population decreased can be calculated as:

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Now let's look at the ratio between the second and third year (y = 2), the population the third year was 450

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f(y) = A*(1  - r)^y

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y = our variable, in this case, represents the number of years

r = the amount that decreases per each unit of our variable, this must be written in decimal form. In this case, we know that the population decreases by 25% each year, and 25% written in decimal form is 0.25

Also, (1 - r) = R, where R is the ratio we found earlier.

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f(y) = 800*(1 - 0.25)^y

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f(y) = 200 = 800*( 0.75)^y

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Now we can use the relationship:

Ln(a^x) = x*ln(a)

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f(24) = 800*(0.75)^(24) = 0.80

Around this point, we will have no more sunfish in the lake.

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