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4 years ago

The area is 864 square feet, the width is 2/3 it's length . What is the length?

Mathematics

1 answer:

Anna [14]4 years ago

3 0

your answer is :

your welcome.

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For the figures below, assume they are made of semicircles, quarter circles and squares. For each shape, find the area and perim

Marina86 [1]

Area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

Solution:

Radius of the quarter of circle = 12 cm

Area of the shaded region = Area of quarter of circle – Area of the triangle

$$=\frac{1}{4} \pi r^2 - \frac{1}{2} bh$

$$=\frac{1}{4} \pi \times 12^2 - \frac{1}{2} \times 12 \times 12$

$$=36\pi -72$

$$=36(\pi -2)$ square cm.

Area of the shaded region $$=36(\pi -2)$ square cm

Using Pythagoras theorem,

$AC^2=AB^2+BC^2$

$AC^2=12^2+12^2$

$AC^2=288$

Taking square root on both sides of the equation, we get

$AC= 12\sqrt 2$ cm

Perimeter of the quadrant of a circle = $\frac{1}{4} \times 2\pi r$

$$=\frac{1}{4} \times 2 \times \pi \times 12$

$$=6 \pi$ cm

Perimeter of the shaded region = $6 \pi + 12\sqrt 2$ cm

$=6 (\pi + 2\sqrt 2)$ cm

Hence area of the shaded region $$=36(\pi -2)$ square cm

Perimeter of the shaded region $=6 (\pi + 2\sqrt 2)$ cm

6 0

3 years ago

"A pieces of licorice is cut into 10 equal-sized pieces. If the length of the piece of licorice is 2/3 yard, how long will each

jok3333 [9.3K]

Each piece of licorice will be 2.4 inches

Work: 2/3 yard = 2 feet = 24 inches ÷ 10 = 2.4 inches

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3 years ago

Can anyone please help me with this question??????

erastovalidia [21]

X=8 & z=66

because vertical angles are congruent

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3 years ago

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A rectangle is a parallelogram with...

ch4aika [34]

Answer:

A rectangle is a parallelogram with d. four congruent angles

Step-by-step explanation:

A rectangle has four right angles meaning they are congruent.

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3 years ago

Five dices are tossed together, what is the total number of outcome expected from this experiment?

Serga [27]

The total number of outcomes would be 6 ;) Hope this helps!

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3 years ago