Find the value of the variables in the simplest form

Mathematics

1 answer:

STatiana [176]3 years ago

6 0

Answer:

x = 3

Step-by-step explanation:

Using the tangent ratio in the right triangle and the exact value

tan60° = $\sqrt{3}$

tan60° = $\frac{opposite}{adjacent}$ = $\frac{x}{\sqrt{3} }$ = $\sqrt{3}$ ( multiply both sides by $\sqrt{3}$ )

x = 3

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Find the area of the composite shape below.<br> help to get sum coin

enot [183]

Answer:

Composite Area = 1105.94

Step-by-step explanation:

Remark

The two semi circles at each end make an entire circle with radius 11. The width of the central rectangle = the diameter of the circle. The area should be able to be found.

Width

2*radius = width

width = 2 * 11

width = 22

Area of the circle

Area = pi * r^2

r = 11

Area = 3.14 * 11^2

Area = 3.14 * 121

Area = 379.94

Area of the rectangle

Area = L * W

L = 33

W = 22

Area = 33 * 22

Area = 726

Total Area

Total Area = Area of Rectangle + Area of the Circle

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myrzilka [38]

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4 0

4 years ago

What are the asymptotes of the graph of f(x) ?

Ad libitum [116K]

When in doubt, graph it.

The 3rd and 4th choices are appropriate.

_____
This is what is known as a "logistic function." It is used to model population growth when there is a resource limit. It starts out exponential, but then slows as it reaches the "carrying capacity" of the environment. The lower asymptote is zero; the upper one is the carrying capacity of the resource--here 15/1 = 15.