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maria [59]
3 years ago
15

The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that

contains all four vertices of this rectangle. if the area of the circle is xπ square inches, then what is the value of x ?

Mathematics
1 answer:
matrenka [14]3 years ago
4 0

Answer:

  x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

  (42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

  (5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

  A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.

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36 minutes

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3 years ago
I need help!! on 9 and 10 plzz help
Alexxandr [17]

9.      1/3+(x+20)+(x-10)+40=360           10.   1/2x+1/2x+(x-15)+(x-25)+100=540

          1/3+2x+50=360                                  4x+60=540

          (3/1) 1/3+2x=300(3/1)                           4x/4=480/4

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           ————

               2

W=150

6 0
3 years ago
in triangle ABC shown below, L is the midpoint of BC, M is the midpoint of AB, and N is the midpoint of AC. Find the perimeter o
alexdok [17]

35

since m and n are the midpoints of ab and ac resistively

then ,bc=2mn=16

since m and l are the midpoints of ba and bc respectively

then, ac =2mn =10

then,nc =1/2 × 10 =5

similary, mb=6

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3 years ago
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aniked [119]
The pair of points that are equal to x coordinates is (0,0)
8 0
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Find the surface area of square pyramid someone help
IgorC [24]

Answer:

65 square units

Step-by-step explanation:

The base of the pyramid is 5 by 5 , surface area is 25 square units.

the side of each one is 4 units "high" and 5 long at the base and to find the are of a triangle you multiple base times height then dived by 2. Therefore each side of the triangle is 10 units square. You have 4 sides so...

40 (total of all the sides ) +25 ( base ) = 65

4 0
3 years ago
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