Answer:
The value of x = 3.42
Step-by-step explanation:
Formula:
Sin ∅ = Opposite side /Hypotenuse
From the figure we can see a right angled triangle.
One angle is given, hypotenuse = 10 and height = x.
To find the value of x
sin 20 = Opposite side/hypotenuse = x/10
x = 10 * sin 20
= 10 * 0.342 = 3.42
Therefore the value of x = 3.42
Answer:
A person (or institution) who invest the money or makes the funds available is called the lender or creditor.
Step-by-step explanation:
The area will be:
A=x(25-x)
A=25x-x^2
For the area to be maximize the rate of change of area will be zero, or dA/dx=0
dA/dx=25-2x
25-2x=0
2x=25
x=12.5
So the dimensions will be 12.5 and (25-12.5)=12.5. Thus the greatest area possible with 50 foot of fencing is a square with sides of 12.5 feet.
(A square always results in the greatest possible area for a rectangular plane for a given amount of material...so in general, all such problems will result with dimensions of a square with sides equal to the material divided by four.)
Y = 1/3 x - 10 . . . (1)
2x + y = 4 . . . . . . (2)
Putting (1) into (2) gives, 2x + 1/3 x - 10 = 4
7/3 x - 10 = 4
7/3 x = 4 + 10 = 14
x = (3 x 14)/7 = 6
From (1), y = 1/3(6) - 10 = 2 - 10 = -8
x = 6, y = -8
Answer:
16
Step-by-step explanation:
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16