Answer:
Therefore the height of the tower is 116.75 m.
Step-by-step explanation:
Given that a pole that is 2.6 m tall casts a shadow that is 1.03 m long.
Here the height of a object directly proportional to the shadow. It means
Height of the object ∝ shadow
Height of the object= k.shadow
[k is the proportional constant.]
[Height of object is denoted by h and shadow is denoted by s]
Then,
[h₁ is the height of the pole and s₁is the length of the shadow]
Again for the tower
[h₂ is the height of the tower and s₂ is the length of the shadow]
Therefore,
............(1)
Given , and
Putting the value of and equation (1)
[cross multiplication]
Therefore the height of the tower is 116.75 m.
Width = x
Length = x+18
Assuming the table is rectangular:
Area = x(x + 18)
Therefore:
x(x + 18) <span>≤ 175
x^2 + 18x </span><span>≤ 175
Using completing the square method:
x^2 + 18x + 81 </span><span>≤ 175 + 81
(x + 9)^2 </span><span>≤ 256
|x + 9| </span><span>≤ sqrt(256)
|x + 9| </span><span>≤ +-16
-16 </span>≤ x + 9 <span>≤ 16
</span>-16 - 9 ≤ x <span>≤ 16 - 9
</span>-25 ≤ x <span>≤ 7
</span><span>
But x > 0 (there are no negative measurements):
</span><span>
Therefore, the interval 0 < x </span><span>≤ 7 represents the possible widths.</span><span>
</span>
Answer:
Im no expert on this But Im pretty sure its A
Step-by-step explanation:
Answer:
35 seconds
Step-by-step explanation:
At negative values he is inside the volcano, when he reaches 0 he will be at the top of the volcano
At 35 seconds, the elevation is 0, so he is at the top of the volcano
Answer:
I'm pretty sure you just divide 31 with 20 and then you get 1.55 and after you get 1.55 you multiple that by 100 to get 155% which will be the percent you need
Step-by-step explanation: