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2 years ago

What positive value of x makes the equation f(x) = g(x) true?

Mathematics

1 answer:

Mashutka [201]2 years ago

5 0

I really don't know........ :);

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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

Decimal. 08 is 10 times as much as

Ksivusya [100]

Obviously, 0.8, all you do is move over the decimal.

7 0

3 years ago

How much more is five ninth’s greater than 4 fifteenths

andrey2020 [161]

The answer is 3.46154

8 0

3 years ago

Kayla has a t-shirt store she saw three times as many white t-shirts as blue t-shirts she had a total of 48 t-shirts how many wh

Trava [24]

Kayla sold 12 blue tshirts and 36 white tshirts

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3 years ago

The diameter of a circle is 24 centimeters. What is the circle's area?

ch4aika [34]

Answer:

The diameter is 24 so the radius is 12 then we do pi*r^2 or pi*12^2

We can use our numbers and get pi*144 so the area of the circle is 144pi.

If they have given you what pi is

EX:( 22/7 or 3.14)

Just use that instead of pi and multiply 144 to that

8 0

3 years ago