Answer:
Well the answer isn't EXACTLY 3 feet, but it's very close at 2.91
Step-by-step explanation:
First we convert all values to decimals to save time.
To convert a mixed number to a decimal you divide the numerator by the denominator and put the whole number in front of it
7/8=0.875
0.875+7=7.875
5/8=0.625
0.625+3=3.625
1/4=0.25
0.25+1=1.25
Now we subtract the original value (7 7/8 or 7.875) from all the cut pieces to find out how much is left.
7.875-3.625=4.16
4.16-1.25=2.91.
And there you go.
Answer:
a) center: (-3, 2)
b) radius: √65
c) equation: (x +3)² +(y -2)² = 65
Step-by-step explanation:
a) The center (point A) is the midpoint of the diameter, so its coordinates are the average of the endpoint coordinates:
A = (P +Q)/2 = ((-10, -2) +(4, 6))/2
= (-10+4, -2+6)/2 = (-6, 4)/2
A = (-3, 2)
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b) The radius is the distance from the center to one end of the diameter. The distance formula can be used to find that.
r = √((x2 -x1)² +(y2 -y1)²) = √((4-(-3))² +(6 -2)²) = √(49+16)
r = √65
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c) The circle centered at (h, k) with radius r has formula ...
(x -h)² +(y -k)² = r²
So the formula for this circle is ...
(x +3)² +(y -2)² = 65
3 1/4 quarts is 6 1/2 pints x
I did this in school: it would be A, C, and D
The answer would be E= 27 miles
You would start out by figuring out how many hours it would take him to swim by dividing 6/2 to get 3 then you would find out how long it would take him to run by dividing 15/6 to get 2.5 and you would add that to the 3 to get 5.5 and subtract that by 7 to get 1.5 which is how long he will have to complete leg 3 so you would take 18x1.5 to get 27 mph