The value of x that is the length from the edge of the screen to the end of the wall is equal 3. This is derived from an equation which serves as a function of the Area. See the solution below.
<h3>
What is the calculation for the solution above?</h3>
Recall that the area of the entire wall is 40m².
(10-2x) (16- 2x) = 40
Expanding the brackets, we have
160-20x-32x + 4x² = 40
4x² - 52x + 120 = 0
x² - 13x +30 = 0
Using the quadratic equation
x = (-b±√b²-4ac)/2a
Where a = 1
b = 13
c = 30
x = (13 ± 7)/2
Thus x = 10; or x = 3.
x cannot be the answer because it invalidates 16-x<0;
Hence, the correct answer is x = 3
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Answer:
true
Step-by-step explanation:
Answer:
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Consider point P(x,y) such that P, X and Y are collinear,
As vectors
XP = XO + OZ where O(0,0)
XP = OZ - OX
XP= (x,y) - (-3,3)
XP = (x+3, y-3)
Similarly,
PY = (6-x, -3-y)
But XP= 2^PY
[x+3, y-3] = [2(6-x), 2(-3-y)]
Given both vectors are equal, as they go in the same direction, Solve for x and y accordingly:
x+3 = 12 - 2x
x = 3
y-3 = -6-2y
y = -1
Therefore, P(3,-1)
<h3>Given:</h3>
<h3>Note that:</h3>
<h3>To find:</h3>
The volume of the given cone.
<h3>Solution:</h3>
Let's solve!
Substitute the values according to the formula.
<u>Therefore</u><u>,</u><u> </u><u>the</u><u> </u><u>volume</u><u> </u><u>of</u><u> </u><u>the</u><u> </u><u>given</u><u> </u><u>cone</u><u> </u><u>is</u><u> </u><u>2863.6</u><u>8</u><u> </u><u>cubic</u><u> </u><u>feets</u><u>.</u>
