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dimulka [17.4K]
3 years ago
12

Does this figure have rotational symmetry?

Mathematics
2 answers:
natima [27]3 years ago
6 0

Answer:

no

Step-by-step explanation:

because  a shape is rotational symmetrical when it looks the same after <em>any rotation</em> by partial turn.

My name is Ann [436]3 years ago
3 0

Answer:

Yes, the figure can be rotated 180 degrees

Step-by-step explanation:

I just did it

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explanation:

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Find the volume V of the solid obtained by rotating the region bounded by the given curves about the specified line. y = 8 sin(x
V125BC [204]

Answer with explanation:

The equation of two curves are

y=8 sin x

y=8 cos x

The point of intersection of two curves are

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sinx = cos x

x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2}

When you will look between points , 0 and x=\frac{\pi}{4}\\\\y=8\sin\frac{\pi}{4}\\\\y=4\sqrt{2},the curve obtained is right angled triangle.

Now, rotate the curve that is right angled triangle along the line , y= -1, to obtain a shape similar or resembling with Right triangular prism.

Draw a circular disc in the right triangular prism , having radius =x,and small part on the triangle having length dx.dx varies from 0 to \frac{\pi}{4}.

Required volume of solid obtained

    =\int\limits^{\frac{\pi}{4}}_0 {8 \sin x} \, dx \\\\=|-8\cos x|\left \{ {{x=\frac{\pi}{4}}} \atop {x=0}} \right.\\\\=8-4\sqrt{2}

    =8-4√2 cubic units    

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2 years ago
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3 years ago
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Felix and Oscar own a pastry shop. Working alone Felix can decorate 8 dozen cookies in 90 minutes. Oscar, on
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<em>Working together</em>, decorating 16 dozens of cookies will take 103 minutes.

<u>Let's calculate theor individual work rate</u> :

  • Rate = 1/ time

Felix's rate = 1/90

Oscar's rate = 1/120

Combined rate = 1/90 + 1/120 = (4 + 3) / 360 = 7/360

<u>Time taken for both of the to decorate 8 dozens</u> :

Reciprocal of their combined rate = 1 ÷ (7/360) = 51.428571 minutes

<u>Hence, the time taken to decorate 16 dozens will be</u> :

(16/8) × 51.428571 = 102.857 = 103 minutes (nearest while number).

Learn more :brainly.com/question/18796573

8 0
2 years ago
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