The perimeter is 49 miles, which means that all the sides added up must equal 49. Let's write and equation with the information given, where x is the magnitude of the two sides:
Simplify this a little bit to get x on one side:
Divide by 2 on both sides, and your answer is:
Therefore, the length of the two sides of the trapezoid are both 7 miles.
Answer:
Step-by-step explanation:
The area of a trapezium is given as;
Area = (a + b)h
where: a is the length of the upper side, b is the length of its base and h is its height.
This implies that; a = x - 4, b = x + 5, h = 2x and area = 351
Thus,
351 = ((x - 4) + (x + 50)) 2x
= (x - 4 + x + 5) x
531 = (2x + 1) x
= 2 + x
So that;
2 + x - 531 = 0
This gives a quadratic equation.
Answer:
<h2> aₙ = 7n - 10</h2>Step-by-step explanation:
The nth term:
So:
a₄ = a₁ + 3d
18 = a₁ + 3d ⇒ 3d = 18 - a₁
a₇ = a₁ + 6d
39 = a₁ + 6d
39 = a₁ + 2(18 - a₁)
39 = a₁ + 36 - 2a₁
39 = 36 - a₁
a₁ = -3
3d = 18 - (-3)
3d = 21
d = 7
So the nth term: