Using similarity principle, the height of the tree is 1.97 meters
<h3>How to find height of the tree?</h3>
He is 1.75 meters tall.
His shadow = 33.7 meters
The length of the tree shadows = 37.95 meters
Using similarity principles where the corresponding length are a ratio of each other.
Therefore,
1.75 / x = 33.7 / 37.95
cross multiply
37.95 × 1.75 = 33.7x
66.4125 = 33.7x
divide both sides by 33.7
x = 66.4125 / 33.7
x = 1.97069732938
x = 1.97 meters
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Answer:
0.225 L of milk, would be
required if she uses 450 m L of water.
Step-by-step explanation:
Here, to make the shake, ingredients used by Dina are:
40 m L of chocolate syrup,
200 m L of milk, and 400 m L of water.
So, here Amount of water used = 2 x ( Amount of Milk used) ....... (1)
Now,again the amount of water used by Dona = 450 m L
Let us assume the milk used by her = k m L
⇒ 450 m L = 2 x ( k m L) ( from (1))
or, 450 = 2 k
⇒ k = 450/2 = 225
⇒ k = 225 m L
Also, 1 m L = 0.001 L
So, 225 m L = 225 x 0.001 = 0.225 L
⇒ k = 0.225 L
Hence, 0.225 L of milk, would be
required if she uses 450 m L of water.
The simplest form of -(6x+2y)+4(2x-y) = -2(-x+3y).
Given:
The power generated by an electrical circuit (in watts) as function of its current x (in amperes) is modeled by:

To find:
The current that will produce the maximum power.
Solution:
We have,

Here, leading coefficient is negative. So, it is a downward parabola.
Vertex of a downward parabola is the point of maxima.
If a parabola is
, then

In the given function, a=-12 and b=120. So,



Putting x=5 in the given function, we get




Therefore, 5 watt current will produce the maximum power of 300 amperes.
Answer:
(a) P(x) = 300 x - 3600
(b) P(340) = $ 98400
(c) At least 12 items must be sold to avoid losing money.
Step-by-step explanation:
Part (a):
The Profit function is the difference between the revenue function (R(x)) and the Cost (C(x)) function:
P(x) = R(x) - C(x)
P(x) = 384 x - [84 x + 3600]
P(x) = 384 x - 84 x - 3600
P(x) = 300 x - 3600
Part (b):
The profit on 340 items is:
P(340) = 300 (340) - 3600
P(340) = 102000 - 3600
P(340) = $ 98400
Part (c):
To avoid losing money, the profit P(x) has to be larger or equal than zero. That is:
P(x)
0
300 x -3600
0
300 x
3600
x
3600/300
x
12
So at least 12 items must be sold to avoid losing money.