Number of bag = x
Then, number of candies & Strickers would be 6x & 12x respectively..
t-shirts : sunglasses; shoes : hats
The number of t-shirts to sunglasses sold has a ratio of 5:2 (25:10 = 5:2).
The number of shoes to hats sold has a ratio of 5:2.
We will calculate it like this, We will make a right angle triangle by adding one new point called O for example, and O is located right under the point C, and on the right side of point D, so the coordinated for this point are O (8, -2). From there, length CD is calculated using the Pythagorean theorem, because we know that the CO = 4 and DO = 4, so:
CD^2 = CO^2 + DO^2
CD^2 = 4^2 + 4^2
DC^2 = 16 + 16
DC^2 = 32
DC = square root of 32 = square root of 16 * square root of 2
DC = 4 * square root of 2
The correct answer is B. 4*square root of 2.
Answer:
x = 600 m
y = 1200 m
Amax = 720000 m²
Step-by-step explanation:
Let call x the smaller side of the rectangular plot and y the largest ( we assume we have one y side bounded by a river: Then
A(p) Area of the plot x*y
A(p) = x*y
And perimeter of the plot ( to be fenced ) is:
P(p) = 2*x + y = 2400 ⇒ y = 2400 - 2*x
Area of rectangular plot as function of x:
A(x) = x * ( 2400 - 2x )
Taking derivatives on both sides of the equation
A´(x) = ( 2400 - 2x ) + (-2) *x ⇒ A´(x) = ( 2400 - 2x ) - 2x
A´(x) = 0 ⇒ 2400 - 4x = 0 ⇒ 4x = 2400
x = 600 m
And y = 2400 - 2*x
y = 2400 - 1200
y = 1200 m
And the largest enclosed area is Amax = 1200*600
Amax = 720000 m²
