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nika2105 [10]
3 years ago
9

A rectangle is inscribed in a circle of radius r. If the rectangle is not a square, which of the following could be the perimete

r of the rectangle?
A. 2r3â2r3
B. 2r(3â+1)2r(3+1)
C. 4r2â4r2
D. 4r3â4r3
E. 4r(3â+1)
Mathematics
1 answer:
evablogger [386]3 years ago
7 0

Answer:

2r(\sqrt{3}+1)

Step-by-step explanation:

A rectangle is inscribed in a circle of radius r.

Radius of the circle is 'r'  . the diameter of circle is 2 times radius is 2r

The diameter of the circle becomes the diagonal of the rectangle.

The one part of the rectangle forms a triangle with hypotenuse 2r

Triangle is a special 30:60:90 degree angle

the ratio of the special triangle is  1: \sqrt{3} :2

Hypotenuse is '2r' , so the ratio becomes

r: \sqrt{3}r :2r

So the width of the rectangle is 'r'  and length of the rectangle is \sqrt{3}r

Perimeter = 2 times length + 2 times width

perimeter = 2\sqrt{3} r+2r=2r(\sqrt{3}+1)

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132<br> 48<br> 19<br> 21 ... please help!!! doing a quiz it’s timed
Citrus2011 [14]

Answer:

21°

Step-by-step explanation:

set it up

7x-1+3x-9=180

combine like terms

10x-10=180

take the ten to the other side

10x=190

divide both sides by 10

x=19

plug x in

3(10)-9

30-9

21

(Incase you need it the other angle is 159°)

5 0
3 years ago
Read 2 more answers
Find BC please in the picture
tatiyna

B. 25 Km. The measure of BC is 25 km.

The easiest way to solve this problem is using the cosine theorem c = √a²+b²-2ab*cos A.

BC = √AC²+AB²-2(AC)(AB)*cos A

BC = √(21km)²+(14km)²-2(21km)(14km)*cos 89°

BC = √441km²+196km²-588km²*(0.017)

BC =√637km²-10.26km²

BC = √636.74km²

BC = 25.03km ≅ 25

7 0
3 years ago
Which property of operation could you use to show whether 7y + 7b + 3y and 7(y x b) + 3b are equivalent or not
Dmitry_Shevchenko [17]

Answer and explanation:

They are not equivalent because if we simplify the second expression, the result isn't the same:

7(y×b)+3b

= 7(yb)+3b

=7yb + 3b

Therefore 7yb+3b≠7y+7b+3y

And even though you meant

7(y+b)+3b

=7y+7b+3b

=7y+10b

7y+10b≠10y+7b

5 0
2 years ago
Please help, i have no idea how to do this
notsponge [240]

Answer:

  8 square units

Step-by-step explanation:

The figure is a trapezoid. The area of it is given by the formula ...

  A = (1/2)(b1 +b2)h

where b1 and b2 are the lengths of the parallel bases and h is the distance between them.

Your figure shows the base lengths to be 5 and 3, and their separation to be 2. Filling the numbers in the formula, we have ...

  A = (1/2)(5 +3)(2) = (1/2)(8)(2) = 4·2 = 8

The area of the figure is 8 square units.

_____

The right-pointing arrows on the horizontal lines identify those lines as being parallel. The right-angle indicator and the 2 next to the dotted line indicate the perpendicular distance between the parallel lines is 2 units.

4 0
3 years ago
Yo, 10⁶ ÷2⅗ simplified?​
ziro4ka [17]

10 to the sixth power = 1,000,000

1,000,000 ÷ 2 3/5 = 384615.384615

ANSWER : 384615.384615

8 0
3 years ago
Read 2 more answers
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