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lisabon 2012 [21]
2 years ago
6

WILL GIVE BRAINLIEST FOR ANSWER Find the area of the shaded polygons.

Mathematics
1 answer:
trapecia [35]2 years ago
5 0

Answer:

7.74 cm2

Step-by-step explanation:

We need to find the area of both the square and the circle and then subtract the two.  Inscribed means draw within a figure so as to touch in as many places as possible.  So the circle is drawn inside the square.  The opposite is circumscribed, meaning drawn outside.

Asquare = s2 = 36 cm2 so the side is 6 cm

6 cm is also the diameter of the circle and thus the radius is 3 cm

A circle = πr2 = 3.14 * 32 = 28.28 cm2

The resulting difference is 7.74 cm2

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An angle bisector of a triangle divides the opposite side of the triangle into segments 5 cm and 3 cm long. A second side of the
attashe74 [19]
There is a little-known theorem to solve this problem.

The theorem says that
In a triangle, the angle bisector cuts the opposite side into two segments in the ratio of the respective sides lengths.

See the attached triangles for cases 1 and 2.  Let x be the length of the third side.

Case 1:
Segment 5cm is adjacent to the 7.6cm side, then
x/7.6=3/5  => x=7.6*3/5=4.56 cm

Case 2:
Segment 3cm is adjacent to the 7.6 cm side, then
x/7.6=5/3 => x=7.6*5/3=12.67 cm

The theorem can be proved by considering the sine rule on the adjacent triangles ADC and BDC with the common side CD and equal angles ACD and DCB.

6 0
3 years ago
Find the measure of the indicated angle to the nearest degree. Thanks.
Sholpan [36]

Answer:

θ ≈ 40°

Step-by-step explanation:

Since, sinθ = \frac{\text{Opposite side}}{\text{Hypotenuse}}

cosθ = \frac{\text{Adjacent side}}{\text{Hypotenuse}}

tanθ = \frac{\text{Opposite side}}{\text{Adjacent side}}

In the picture attached,

Measures of adjacent side and opposite side of the triangle have been given. Therefore, tangent rule will be applied in the given triangle.

tanθ = \frac{19}{23}

θ = \text{tan}^{-1}(\frac{19}{23})

θ = 39.56

θ ≈ 40°

5 0
2 years ago
Nancy withdrew $19 from her bank account to pay for markers write in integer to represent this situation
ziro4ka [17]
Hello!

Withdrawing is like taking out money from her account.

So, the integer that represents this situation is -$19.

I hope that was helpful! c:
5 0
3 years ago
Read 2 more answers
Seventh grade
aleksandrvk [35]

Answer:

2.8 hours

Step-by-step explanation:

36.68 / 13.1 = 2.8

7 0
2 years ago
My first time on this app see if you can solve this
Svetradugi [14.3K]
He should tell Bill that depending on which side he wants the width or the length on, he should attach another board about 8 feet long to the 7 foot board since that is the length and he shouldnt attach anymore wood to the second board.
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3 years ago
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