11. This picture shows a table in the shape of a regular hexagon.

Mathematics

1 answer:

disa [49]3 years ago

3 0

Answer:

Sum of interior angles = 720°

One interior angle = 120°

Step-by-step explanation:

Sum of interior angles = 180°(n-2)

Where n is the number of sides in a polygon

Therefore, one angle in a regular polygon will be (180°(n-2))÷n

Hence

Sum of interior angles= 180°(6-2)

= 720°

One interior angle = 720°÷6

= 120°

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Which of the following would best represent a cosine function with an amplitude of 3, a period of pi/2 , and a midline at y = –4

Grace [21]

To transform the function $f(x)= cos(x)$ to have the amplitude of 3, we need to multiply the constant 3 to the function f(x), so we have $y=3f(x)$

To transform the function $f(x)=cos(x)$ to have the midline $y=-4$ we need to subtract $f(x)$ by 4, so we have $y=f(x)-4$ ,

To transform the function $f(x)=cos(x)$ to have period of $\frac{ \pi }{2}$ , we need to divide the original period $2 \pi$ by 4, so we have $y=f(4x)$ . Note that it is the $4x$ gives the effect of dividing the points on x-axes by 4 and the period is read on x-axes

Hence, the full transformation is given $y=3f(4x)-4$ which is the last option