Answer: 50.24 cm^2
Step-by-step explanation:
This can be translated to:
An old coin is kept in a cubic box in such a way that the outline of the coin touches the 4 walls of the box, if the base of the box has a perimeter of 24 cm. What is the area of the coin?
The fact that the coin touches the interior of the box means that the diameter of the coin is equal to the side lenght of the box.
The perimeter of the box is 24 cm, and the perimeter of a square is equal to:
P = 4*L
where L is the side lenght of the square.
24 cm = 4*L
L = 24cm/4 = 8cm
Now we know that the diameter of the coin is 8cm
Now, the area of a circle (the coin) is equal to:
A = 3.14*(d/2)^2
where d is the diameter, so we have:
A = 3.14*(4cm)^2 = 50.24 cm^2
Answer:
One rational solution
Step-by-step explanation:
proof
5x2 - 2x - 3=0, the sum of coefficients is 5-2-3=0, so the equation has exactly two solutions, x=1, and x = -3/5 this last is the one rational solution
Answer:
8x - 28y
Step-by-step explanation:
-2(-1x + 5y) + 3(2x - 6y)
2x - 10y + 6x - 18y
collect like terms
2x + 6x - 10y - 18y
8x - 28y
Answer:
B
Step-by-step explanation:
The two right triangles are congruent but may have different lengths but they will have the same angles.
The two similar right triangles can have a different hypotenuse length, but the slope will remain the same.
