Answer:
77.03 cm²
Step-by-step explanation:
The appropriate formulas are ...
CSA = Ch . . . . . curved surface area, C=circumference, h=height
where
C = πd
or
d = C/π
__
Here, we have ...
h = 2d = 2C/π
C = 11 cm
so the curved surface area is ...
CSA = (11 cm)(2(11 cm)/π) = 242/π cm² ≈ 77.03 cm²
Answer:
B (2, 4)
Step-by-step explanation:
A (-1,-9); M (0.5, -2.5); B (xB, yB)
M is the midpoint of AB, therefore we have these 2 equations:
(*) xA + xB = 2. xM
(**) yA + yB = 2. yM
(*) <=> xB = 2. xM - xA = 2x0.5 - (-1) = 1 + 1 = 2
(**) <=> yB = 2. yM - yA = 2x(-2.5) - (-9) = -5 + 9 = 4
So, B (2, 4)
9514 1404 393
Answer:
- y -3 = 5(x -1)
- y +1 = -3(x +2)
- y +7 = -1/4(x -4)
Step-by-step explanation:
When you are given a point and a slope, and asked for the equation in point-slope form, it is simply a matter of putting the given numbers into the appropriate places in the equation template.
y -k = m(x -h) . . . . . . point (h, k), slope m
__
1. y -3 = 5(x -1) . . . . . . point (1, 3), slope 5
2. y +1 = -3(x +2) . . . . point (-2, -1), slope -3
note that for k=-1, -k = -(-1) = +1; similarly the value of -h becomes +2
3. y +7 = -1/4(x -4) . . . point (4, -7), slope -1/4
√324 * √75 = √24300 = 90√3
so
90√3 / 9 = 10√3
answer is
D. last one 10√3 irrational
