Jimmy has a piece of string that is 6 3/4 inches long, and Sam has a piece of string that is 7 1/2 inches long.
2 answers:
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Answer:
2, -6
Step-by-step explanation:
x^2 + 4x - 12
A = 1
B = 4
C = -12
i used the "X" method to solve for the solutions. i think it's easier than using the quadratic formula but it doesn't always work
for the "X" method you have to multiply your A value and your C value together so 1 x (-12) = -12. that is going to be the top part of the X
the bottom part of the x will be your B value which is 4
we have to find multiples of -12 that will also add to 4
so -2 and 6 multiply to -12 but also add to 4 so we know these numbers will work
i added added two drawings to show how i found the solutions using the "X" method and the quadratic formula
Answer:
remaining cardboard area = 122.5πr²
Step-by-step explanation:
area of original rectangle = length * width
= 18r * 8r
= 144r²
- area of semi circle:
πr²
Here we have 3 semi circles with radius 3r:
- area of 3 semi circles: 3(
: 3( * π * 9r²)
: 13.5πr²
- area of one semi circle with radius 4r:
( * π * (4r)²)
( * π * 16r²)
8πr²
- So the area of remaining cardboard:
area of rectangle - area of 4 semi circles
144r² - 13.5πr² - 8πr²
122.5πr²