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3 years ago

Choose the function whose graph is given by:

Mathematics

1 answer:

morpeh [17]3 years ago

7 0

Answer:

Step-by-step explanation:

The form of the graph is

y = a cos(bx)

where amplitude = | a| and period = $\frac{2\pi }{b}$

Amplitude is measure from the x- axis to the maximum = 3

period of 1 cycle = $\frac{\pi }{2}$ , hence

b = $\frac{2\pi }{\frac{\pi }{2} }$ = 4

Hence

y = 3 cos(4x) → B

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nikitadnepr [17]

Answer:

$A \approx 1140.3\ units^2$

Step-by-step explanation:

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$a^2 + b^2 = c^2\\40^2 + 9^2 = c^2\\1600 + 81 = c^2\\1681 = c^2\\\sqrt{1681} = c\\41 = c$

The diameter is $41$ units, which means the radius is $\frac{41}{2}$ . From here we can calculate the area of the circle:

$A_c = \pi r^2\\A_c = \pi (\frac{41}{2})^2\\A_c = \pi 420.25\\A_c \approx 1320.25$

Now we need to subtract the area of the triangle from the area of the circle. Calculate the area of the triangle:

$A_t = \frac{bh}{2}\\A_t = \frac{40 \times 9}{2}\\A_t = \frac{360}{2}\\A_t = 180$

Subtract the triangle area from the circle area to get the area of the shaded area:

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2 years ago