The answers are 1, 2, 5, and 7
Answer:
1. A = 2x; P = 4x+2. A = 4; P = 10.
2. A = y² +2; P = 4y +2. A = 27; P = 22.
Step-by-step explanation:
1. The area is the sum of the marked areas of each of the tiles:
A = x + x
A = 2x
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The perimeter is the sum of the outside edge dimensions of the tiles. Working clockwise from the upper left corner, the sum of exposed edge lengths is ...
P = 1 + (x-1) + x + 1 + (x+1) + x
P = 4x +2
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When x=2, these values become ...
A = 2·2 = 4 . . . . square units
P = 4·2+2 = 10 . . . . units
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2. Again, the area is the sum of the marked areas:
A = y² + 1 + 1
A = y² +2
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The edge dimension of the square y² tile is presumed to be y, so the perimeter (starting from upper left) is ...
P = y +(y-2) +1 +2 +(y+1) +y
P = 4y +2
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When y=5, these values become ...
A = 5² +2 = 27 . . . . square units
P = 4·5 +2 = 22 . . . . units
(0,-9) or (1,-7) or (2,-5) either one would be correct
Answer:
a²+b²=c²
7.5²+9²=c²
137.25=c²
√137.25=c²
11.72.... = c
The Radius of the circle is approximately 11.72cm
Step-by-step explanation:
Using this data. Create a Triangle with the Chord and Center of the dot. We know the distance between the chord and center which is one length of one of the sides.
We split the chord from the intersecting line from the center to the chord making the second line being 7.5cm
After We draw a line from the center of the circle to where the chord meets to the edge of the circle to create the triangle
We now have 2 measurements and can use Pythagorean Theorem to determine the radius from the missing length of the triangle.
