1.
The larger gear will have turned through an arc equivalent in length to the smaller circle's circumference. Thus:
2πr(small) = r(large)∅
2π(2) = 8∅
∅ = π/2 = 90°
2.
The distance covered by the larger gear will be:
C = 2πr
C = 2π(8)
C = 16π
Per revolution, the smaller wheel covers:
C = 2πr
C = 2π(2)
C = 4π
Number of revolutions of smaller wheel = 16π / 4π
Number of revolutions = 4
Answer: So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.
Step-by-step explanation:
The poem theoretically about a bird who wanted to live freely. he had a family; a mom, a dad, a brother, a sister. they just wanted to fly around and have fun and explore. but then all of a sudden the brother got eating buy mr. purple man. they all had to run. but then the sister got raped by mr. brown.
Answer:
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Step-by-step explanation:
Answer:
{ln 4, (2 + 2e^ln 4 − 4 ln 4)} or (1.39, 4.45)
Step-by-step explanation:
From this equation 4x − y = 3
-y = 3 - 4x
then, y = 4x - 3
From line equation y = mx + b
Therefore, the slope is 4
Since the are parallel line, they will have same slope
Finding the derivative of y = 2 + 2e^x − 4x
y = 2 + 2e^x − 4x
y' = 0 + 2e^x - 4
Therefore,
4 = 2e^x - 4
4 = e^x
x = ln 4 = 1.39
To find the y coordinate
y = 2 + 2e^x − 4x
y = 2 + 2e^ln 4 − 4 ln 4
y = 4.45
Hence, they are parallel at point (1.39 and 4.45)
