Write an expressiom that is equal to 3 times 2 2/4
1 answer:
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Answer:
The height of the pole is 105ft,
Step-by-step explanation:
Let us call the height of the pole, then we know that the distance from the bottom of the pole to the anchor point is 49, or it is
.
The wire length is 14 ft longer than height
, hence
.
Thus we get a right triangle with hypotenuse , perpendicular
, and base
; therefore, the Pythagorean theorem gives
which upon expanding we get:
further simplification gives
,
which is a quadratic equation with solutions
Since the first solution will give the triangle base length of
which is negative; therefore, we disregard it and pick the solution
.
Hence, the height of the pole is 105ft.
Answer:
Length = 6, Breadth = 2
Step-by-step explanation:
Given:
A rectangle is 3 times as long as it is wide.
If the length is increased by 6 and the width is increased by 8, its area is increased by 108.
Question asked:
Find the original dimensions.
Solution:
Let width of rectangle =
<u>As given that a rectangle is 3 times as long as it is wide.</u>
Length of rectangle =
Now, as given that length is<u> increased by 6</u> and the width is <u>increased by 8,</u>
New length =
New breadth =
New area =
As new area increased by 108, we can say:-
New area - old area = 108
Subtracting both sides by 48
Dividing both sides by 30
Width of rectangle = = 2
Length of rectangle = =
Therefore, original length of rectangle was 6 and original width of rectangle was 2.