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3 years ago

20 m 12 m 34 m Find the surface area of this figure

Mathematics

1 answer:

Ad libitum [116K]3 years ago

8 0

Surface area of the fig is 2350.9 sq m (approx).

Step-by-step explanation:

Given,

Diameter = 34 m

so, radius (r) = 17 m

Height of the cylinder (h) = 12 m

Slant height of the cone (l) = 20 m

To find the surface area of the fig

Surface area of the fig = surface area of cylinder + surface area of cone

Formula

Surface area of cylinder = 2πrh

Surface area of cone = πrl

So,

Surface area of cylinder = 2π×17×12 sq m = 408π sq m

Surface area of cone = π×17×20 = 340π sq m

Surface area of the fig = 408π+340π sq m = 748π sq m

= 2350.9 sq m (approx)

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2 years ago

Order the side from greatest to least. Η. 28° 118° K J side [Select ]

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Answer:

HJ>KJ>HK

Step-by-step explanation:

Side opposite to the largest angle is the largest.

Side opposite to smallest angle is the smallest.

ang K = 118° ang J = 28°

ang K + ang J + ang H = 180° (Sum of all the angles in the triangle is 180°)

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Here, ang K is the largest, so the side opposite to it i.e. HJ will be the largest side.

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3 years ago

Iver a 24-hour period, the tide in a harbor can be modeled by one period of a sinusoidal function. The tide measures 4.35 ft at

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Answer:

$f(x)=3.95sin(\frac{\pi}{12}x)+4.35$

Step-by-step explanation:

Recall:

Sinusoidal Function -> $f(x)=a*sin(bx+c)+d$
Amplitude -> $a$

Period -> $\frac{2\pi}{|b|}$
Phase Shift -> $-\frac{c}{b}$

Vertical Shift/Midline -> $d$

Given:

Amplitude -> $a=8.3-4.35=3.95$
Period -> $\frac{2\pi}{|b|}=\frac{2\pi}{|24|}=\frac{2\pi}{24}=\frac{\pi}{12}$
Phase Shift -> $-\frac{c}{b}=-\frac{0}{24}=0$
Vertical Shift/Midline -> $d=\frac{8.3+0.4}{2}=\frac{8.7}{2}=4.35$

Conclusion:

The equation that models the situation is $f(x)=3.95sin(\frac{\pi}{12}x)+4.35$

Hope this helped! I've attached a graph of the function so you can understand it better!

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2 years ago