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Softa [21]
3 years ago
9

Solve the compound inequality 6b < 42 or 4b + 12 > 8.

Mathematics
1 answer:
sukhopar [10]3 years ago
7 0

Step-by-step explanation:

6b < 42 or 4b + 12 > 8

6b < 42

= 6b/6 < 42/6

= b < 7

4b + 12 > 8

=4b - 12 + 12 < -12+8

= 4b > - 12 + 8

= 4b > -4

= 4b/4 = -4/4

b > -1

so

7 > b > -1

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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
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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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