In the table below, match the number that corresponds to each point on the number line shown.
1 answer:
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Answer:
Step-by-step explanation:
1). If a point C is lying on a line segment RB,
Then RB = RC + CB
Since, RB = 45, CB = 3x - 12 and RC = 2x + 9
45 = (2x + 9) + (3x - 12)
45 = (2x + 3x) - 3
48 = 5x
x =
x = 9.6
2). Since, RC = 2x + 9
RC = 2(9.6) + 9
= 19.2 + 9
= 28.2 units
3). Distance between the two points and
is given by the formula,
d =
Distance between the points A(2, -2) and D(-2, 2) will be,
=
=
= 5.657
≈ 5.66 units
The complete question in the attached figure
Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]
[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft
[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft
the answer Part A) is
the perimeter of the garden is 37.85 ft
Part B) Find the area of the garden
[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]
[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²
[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²
the answer Part B) is
the Area of the garden is 69.625 ft²
Part A) find the perimeter
[perimeter of the garden]=[perimeter square 1]+[perimeter a quarter circle]+[perimeter square 2]
[perimeter square 1]=5+5+5-----> 15 ft
[perimeter square 2]=5+5+5-----> 15 ft
[perimeter a quarter circle]=(2*pi*r)/4------> 2*pi*5/4-----> 7.85 ft
[perimeter of the garden]=[15]+[7.85]+[15]-------> 37.85 ft
the answer Part A) is
the perimeter of the garden is 37.85 ft
Part B) Find the area of the garden
[Area of the garden]=[Area square 1]+[Area a quarter circle]+[Area square 2]
[Area square 1]=5*5-----> 25 ft²
[Area square 2]=5*5-----> 25 ft²
[Area a quarter circle]=(pi*r²)/4------> pi*5²/4-----> 19.625 ft²
[Area of the garden]=[25]+[19.625]+[25]-------> 69.625 ft²
the answer Part B) is
the Area of the garden is 69.625 ft²