Ali was paid $75 for mowing a neighbor's yard. This is one fourth the amount of money she earned all summer. How much did Ali ea
1 answer:
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Answer:
Step-by-step explanation:
The formula to find the area of a trapezoid is the following,
Where () represents the heights of the trapezoid, (
) and (
) represent the bases of the trapezoid, or rather the two parallel sides of the trapezoid.
One is given all of these values in the picture,
Substitute these values into the formula and solve for the area of the trapezoid,
Simplify,
Answer:
They both meet after 27 s.
Step-by-step explanation:
Length of track = 400 m
speed of man, v = 8 m/s
speed of woman, v' = 5 m/s
Woman is 50 m ahead of man.
Let the time taken to meet is t.
Let the man covered a distance d in time t o the woman covered a distance 400 - 50- d.
The time taken is
An arithmetic sequence with first term a, and a common distance d si as follows:
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
be the n'th term of the arithmeti sequence
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>
m, m+d, m+2d, m+3d, ...
(for example: 3, 8, 13, 18 .... m=3, d=5)
let
m, m+d, m+2d, m+3d, ...
then
so it is clear that the n'th term, si given by :
compare the rule we found with the given rule A(n)=-3+(n-1)(-2.2)
it is clear that m=-3, and d=-2.2,
so the sequence
m, m+d, m+2d, m+3d, ...
becomes:
-3, -3-2.2, -3-2*2.2, -3-3*2.2, ....
so
-3, -5.2, -7.4, -9.6
the first term is -3, the fourth term is -9.6, the 10th term can be found by plugging in n=10 in the formula:
<span>A(10) = –3 + (10 – 1)(–2.2)=-3+9(-2.2)=-3-19.8=-22.8
remark, we could have use the formula directly and solve for A(1), A(4) and A(10),
but with the explanations we see how we find derive the formula, and makes it easier to derive, even when we don't remember it properly.
Answer:
1st term=-3
2nd term=-9.6
10th term = -22.8</span>