Let the side length of the square be x, then A = x^2
but diagonal (z) = sqrt(2x^2)
z^2 = 2x^2
x^2 = 1/2 z^2
Thus, A = 1/2 z^2
dA/dz = 1/2 (2z) = z
The rate of change is z.
When z = 4, the rate is 4.
An ISOSCELES triangle has two sides equal, and two base angles are also equal.
The two sides on the left and the right are equal. The right side measures 11 inches, therefore the left side also measures 11 inches.
The correct answer option is 11 inches
Answer:
The correct answer is 63 cubic inches.
Step-by-step explanation:
Dali rolled up his painting and placed it in a cylinder 2 inches diameter.
Diameter of the painting is 2 inches. This also implies diameter of the cylinder is 2 inches.
Radius of the cylinder is 1 inch.
Length of the cylinder is 20 inches.
Volume of the cylinder is given by π × 
× h = π × 
× 20 = 20π = 62.85 cubic inches ≈ 63 cubic inches.
Therefore the volume of the cylinder in which Dali placed his painting is given by 63 cubic inches.
Answer:
No.
Step-by-step explanation:
We substitute the values x = 2 and y = -4 into the inequality.
Left side = 2(2) - 3(-4) = 4 + 12
= 16
Now the right side is 15 so we get 16 < 15 which is incorrect.
So (2, -4) is not a solution.
Answer:
probability that will not rain tomorrow
P(nR) = 1-0.85
= 0.15
is the answer
