Answer: By using EDL(Euclid's Division Lemma), the answer we get is 14
so,
42 = 28(1) + 14
28 = 14(2) + 0
therefore, HCF(or greatest common factor) = 14
Answer:
h = -5*t +800
Step-by-step explanation:
The initial value is 800 ft
She is falling at a rate of 5 ft per second
That would be -5ft/s
We can write this in the form
y = mx+b
h = -5*t +800 where t is the number of seconds and h is the height above ground
There's some unknown (but derivable) system of equations being modeled by the two lines in the given graph. (But we don't care what equations make up these lines.)
There's no solution to this particular system because the two lines are parallel.
How do we know they're parallel? Parallel lines have the same slope, and we can easily calculate the slope of these lines.
The line on the left passes through the points (-1, 0) and (0, -2), so it has slope
(-2 - 0)/(0 - (-1)) = -2/1 = -2
The line on the right passes through (0, 2) and (1, 0), so its slope is
(0 - 2)/(1 - 0) = -2/1 = -2
The slopes are equal, so the lines are parallel.
Why does this mean there is no solution? Graphically, a solution to the system is represented by an intersection of the lines. Parallel lines never intersect, so there is no solution.
First we multiply the numbers ignoring the decimal and then place the decimal in the position
3.04 *7.091 = 2155664
Now the first number has two digits after the decimal and the second number has three digits after the decimal.
Therefore in the final result we have to move the decimal (2+3) =5 place from the left,
So the answer would be 21.55664
So, the correct answer is 21.55664
Jerry calculated the answer correctly , but made an error in the placement of the decimal point. The answer is not reasonable because 2.155664 and 21.55664 mean two completely different answer far apart from each other
Answer:
Step-by-step explanation:
r = 3 in
h = 7 in
volume of cone = ⅓πr²h = 21π in³
cylinder has radius r = 3 and height h.
volume of cylinder = πr²h = 9πh in³
volume of cylinder is two times the volume of cone
9πh = 2×21π
9h = 42
h = 42/9 = 4⅔ in
