Cot x = cos x / sin x
cot π/4 = cot 45° = cos 45° / sin 45°
We know that sin 45° and sin 45° have the same value:
cos 45° = sin 45° = √2 / 2;
cos 45° / sin 45° = √2/2 : √2/2 = 1
Answer:
cot π/4 = 1
Answer:
AB = 9/2 cm
AB = 4.5 cm
Step-by-step explanation:
The area of small rectangle
x * (x-4) = x^2 -4x
The area of the big rectangle
The height is 2x +x and the width is x-2
(2x+x) * (x-2)
(3x) * (x-2)
3x^2 -6x
Add the areas together
x^2 -4x + 3x^2 -6x
4x^2 -10x
This is equal to 36
4x^2 -10x=36
Subtract 36 from each side
4x^2 -10x -36=36-36
4x^2 -10x-36=0
Divide each side by 2
2x^2 -5x -18=0
Factor
(x + 2) (2 x - 9) = 0
Using the zero product property
x+2=0 2x-9=0
x = -2 2x =9
x = -2 x = 9/2
Since we cant have a negative length
x = 9/2
AB = 9/2 cm
We can find the volume of one of the cubes, then multiply by 3996 to find the total volume.
The edge lengths are 1/3, so the area of one cube is:
(1/3)^3 = 1/27
The area of the prism is:
3996 * (1/27) = 148 in^3
Answer:
1 meter/10 millimeters is not a valid conversion factor.
Step-by-step explanation:
Because 10 millimeters (mm) is = to 1 centimeter (cm). This answer is obviously the only logical explanation. Contributing to the fact that 1 meter is equal to 100 centimeters and dividing that by 10 would make it 0.1 meters = 10 centimeters and 0.1 Meters = 100 Millimeters so that is clearly wrong that is why 1 meter/ 10 millimeters is not a valid conversion factor.
