Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place.

Mathematics

2 answers:

luda_lava [24]3 years ago

7 0

Answer:

286.97

Step-by-step explanation:

find the area of the rectangle first

14*15=210

Find the area of a circle

πr^2=a

the radius of the circle is half the height of the rectangle

π*(7*7)=a

a=153.94

Now

Divide the area by two

153.94/2=76.97

Now add the two areas

76.97+210

Luden [163]3 years ago

5 0

Answer:

Area of the figure= area of the rectangle+ area of the semicircle

=(15×14)+(1/2)π(7)²=210+77=287 square unit

<u>287 square unit</u> is the right answer.

Remember:--- area of the rectangle

=(length×breadth)

and area of the semicircle=π(radius)²/2

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The values represent the robot facing east, south, and west are 1, -i, -1.

<h3>What was the meaning of puzzle?</h3>

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given that,

The robot can only go north, south, east and west.

Assuming that the north-south axis corresponds to the y-axis and west-east axis corresponds to x-axis.

Now,

It is provided that the ' i ' represent that robot is facing north.

So, if the robot turns and faces south, it can be seen that he will be facing in the opposite direction of ' i '.

Since, the values on y-axis are negative in that direction.

Hence, South will be represented by ' - i ' .

Moreover, it is given that we use only the numbers whose magnitude is 1. As, west-east axis represents x-axis.

So, the value that represents East will be 1.

(as it is on the positive x-axis ).

Since, west is in the opposite direction of east.