Answer:
<em>The length of the side along the river is 140 m</em>
Step-by-step explanation:
<u>Equations</u>
To solve the problem, we need to recall the area of a trapezium is:
Where b1 and b2 are the lengths of the parallel sides and h is the height of the trapezium.
The field to be bought by Mohan has a trapezium shape with a side along the road of side x and a side along the river of side 2x, as stated in the problem.
Knowing the height is h=100 m, and the area is 10500 m2:
Simplifying:
Dividing by 150:
x = 70 m
2x = 140 m
The length of the side along the river is 140 m
Answer:
1st, 3rd, 4th
Step-by-step explanation:
1st one: 43 x
multiply x by 43
7 x 43 = 301
7 x 43 = 258
10 x 43 = 430
3 x 43 = 129
4 x 43 = 172
(correct)
2nd one: 12x
multiply x by 12
2 x 12= 32
we know that 2 x 12 is 2 so this equation does not work
(incorrect)
3rd one: 202x
multiply x by 202
6 x 202 = 1212
4 x 202 = 808
10 x 202 = 2020
3 x 202 = 606
8 x 202 = 1616
(correct)
4th one: 13x
multiply x by 3
9 x 13 = 117
2 x 13 = 26
7 x 13 = 91
3 x 13 = 36
10 x 13 = 130
(correct)
Answer:
Option (a) is true.
Step-by-step explanation:
Given the function
(f∘g)(x) = f(g(x)) = f(x²-3) = (x²-3)+5
= x² + 2
Thus,
f(g(x)) = x² + 2
Therefore, option (a) is true.
