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1 year ago

Help me on this math thing

Mathematics

1 answer:

deff fn [24]1 year ago

7 0

$a) \frac{6}{3}+9=2+9=\boxed{11} \\ \\ b) 8(2)-3+1=\boxed{14} \\ \\ c) 2(5)(-3)=\boxed{-30} \\ \\ d) 2(3)^2-8=2(9)-8=18-8=\boxed{10}$

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Answer:

The correct option is B. The area of the figure is 40.4 units².

Step-by-step explanation:

The line AB divides the figure in two parts one is a rectangle and another is semicircle.

The distance formula is

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

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The length of AD is

$AD=\sqrt{(-1+3)^2+(-3-2)^2}=\sqrt{4+25}=\sqrt{29}$

Since AB=AD, therefore ABCD is a square. The area of the of square is

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The area of square is 29 units².

The area of a semicircle is

$A_2=\frac{\pi}{2}r^2$

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

$r=\frac{d}{2}=\frac{\sqrt{29}}{2}$

The area of the semicircle is

$A_2=\frac{3.14}{2}(\frac{\sqrt{29}}{2})^2=40.3825$

The area of the figure is

$A=A_1+A_2=29+11.2825=40.3825\approx 40.4$

Therefore the area of the figure is 40.4 units². Option B is correct.

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Answer:

Empirical probability

Step-by-step explanation:

Empirical probability is data collected from experiment and real-life situation.

The "empirical probability" of an outcome is obtained by dividing the frequency of occurrence of an event by the number of trails of the experiment.

$\Longrightarrow: \sf{P(E)=\dfrac{\text{number of times event occured}}{\text{number of trails}}$

<u>Therefore, the correct answer is empirical probability.</u>

I hope this helps you! Let me know if my answer is wrong or not.

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Step-by-step explanation:

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