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3 years ago

Will a geometric figure and its rotated image always,sometimes or never have the same perimeter

2 answers:

6 0

Always.
When you rotate a geometric figure, the shape does not change, so there is no reason for the perimeter to change either. Hope this helps!

Alenkasestr [34]3 years ago

3 0

It should always have the same perimeter if it stays the same geometric figure.

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The diagram above shows a rectangle inscribed in a circle AB=10 and AC =12 caculate the total surface area of the shaded part

erastova [34]

Answer:

$71.63 \: \: \mathrm{cm^2 }$

Step-by-step explanation:

Once we know the diameter of the circle, we can figure out the problem.

The diameter of the circle = The diagonal of the rectangle inscribed in the circle

To find the diagonal of the rectangle, we can use a formula.

$d=\sqrt{w^2 + l^2}$

The width is 10 cm and the length is 12 cm.

$d=\sqrt{10^2 + 12^2}$

$d \approx 15.62$

The diagonal of the rectangle inscribed in the circle is 15.62 cm.

The diameter of the circle is 15.62 cm.

Find the area of the whole circle.

$A=\pi r^2$

The $r$ is the radius of the circle, to find radius from diameter we can divide the value by 2.

$r = \frac{d}{2}$

$r=\frac{15.62}{2}$

$r=7.81$

Let’s find the area now.

$A=\pi (7.81)^2$

$A \approx 191.625$

Find the area of rectangle.

$A=lw$

Length × Width.

$A = 12 \times 10$

$A=120$

Subtract the area of the whole circle with the area of rectangle to find area of shaded part.

$191.625-120$

$71.625 \approx 71.63$

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2 years ago

A principal of $3700 is invested at 4.75% interest, compounded annually. How much will the investment be worth after 9 years?

kipiarov [429]

Amount = 3,700 * (1.0475)^9
Amount = 3,700 * 1.5184003135 
Amount = 5,618.08

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Which expression describes the total distance hiked for a person who hiked 6 miles a day for d days? A. 6d B. 6 + d C. 6/d D. d

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3 years ago

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LenaWriter [7]

Hola que ha dado un teléfono de vuelta y me han

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2 years ago