Answer:
a) x=
10°
50°
130°
10°
50°
130°
170°
250°
290°
b) x=
90°
210°
330°
Step-by-step explanation:
2 sin (3x) = 1
a) look at the graph, y=1 when x is near:
10°, 50°, 130°, etc
in the equation: 2 sin (3x) = 1 ⇒ sin (3x) = 0.5 ⇒ 3x = 30° (and others) ⇒ x = 10° (and others). So the values given in solution (10°, 50°, 130°, etc) are true
b) is evident
Answer: I got it
Step-by-step explanation:
SA = bh + (s1 + s2 + s3)H
Answer:
11 years
Step-by-step explanation:
Set the function f(x) = 100(1.0153)^x = to 118 and solve for x:
100(1.0153)^x = 118
Taking the natural logarithm of both sides, we get:
ln 100 + x ln 1.0153 = ln 118
Then x ln 1.0153 = ln 118 - ln 100, or
= 4.7707 - 4.6052
... which leads to:
4.7707 - 4.6052
x = --------------------------- = 11 years (rounded up from 10.888 )
0.0152
Answer:
6
Step-by-step explanation:
The mode is the number which appears most often in a set of numbers in this case that would be 6 because it appears twice