I'm going to separate this into sections so it makes more sense for you to read. For the problems with π where you have to round, ask your teacher where to round, unless your textbook specifies it:
A – 100 cm^2
To calculate area of squares, you multiply l • w. It's a square, so all sides are equal, and since we know that one side = 10 cm, the area is 10 • 10 = 100
B – πr^2 (not sure if the r shows up very well, so I'm retyping it in words - pi • radius squared)
C – 25π cm^2 or an approximate round like 78.54 cm^2 (ask your teacher about this – it could be to the nearest tenth, hundredth, etc.)
To find the area of a circle, you must follow the formula πr^2. In this case, the diameter is 10. The radius is half the diameter, so to substitute the values you must find 10 ÷ 2 = 5. So the radius is 5 cm. From there you can substitute r for 5, ending up with π • 5^2. 5^2 = 25, so the area is 25π, or about 78.54, depending on where the question wants you to round.
D – An approximate round (to the nearest hundredth it is 21.46 cm^2)
To find the area of the shaded region, just subtract the circle's area from the square's area, or 100 – 25π ≈ 21.46. Again, though, ask your teacher about where to round, unless your textbook specifies it.
E – dπ (diameter • pi)
F – 10π cm^2 or an approximate round like 31.42 cm^2
The diameter is 10. 10π ≈ 31.42
Hope this helps!
Answer:
97
Step-by-step explanation:
Answer:
7-3n
Step-by-step explanation:
Im pretty sure this is the right answer
Answer:
8
Step-by-step explanation:
Answer:
We are have the function f(x).
Part 1: It is given that the function f(x) is transformed to f(x)+2.
This gives us that the function is translated 2 units upwards.
As, the y-intercept of f(x) is f(0). So, the y-intercept of f(x)+2 is f(0)+2, which is also translated 2 units up.
Translation does not change the behavior of the function.
So, if f(x) is increasing (or deceasing), then f(x)+2 will be increasing(or decreasing) respectively.
Moreover, f(x)+2 will be even or odd if f(x) is even or odd respectively.
Part 2: It is given that the function f(x) is transformed to 
This gives us that the function is shrinked vertically by a factor of 
followed by a reflection across x-axis.
Also, the y-intercept of is 
.
The graph of f(x) after changing to will flip over the x-axis.
So, the function will increase or decrease when f(x) decrease or increase respectively.
Moreover, will be even if f(x) is even or odd respectively.
