1-3 are about trigonometric ratios (SOH CAH TOA). 4, 5 are about the Law of Cosines, and 6 uses the Law of Sines.
1. Sin = Opposite/Hypotenuse
x = 10*sin(40°) ≈ 6.428
2. Sin = Opposite/Hypotenuse
x = arcsin(7/12) ≈ 35.69°
3. Tan = Opposite/Adjacent
x = 18/tan(52°) ≈ 14.063
4. b^2 = a^2 +c^2 -2ac*cos(B)
B = arccos((a^2 +c^2 -b^2)/(2ac)) = arccos((7^2 +13^2 -8^2)/(2*7*13))
B = arccos(11/13) ≈32.20°
5. Same formula.
x = √(a^2 +c^2 -2ab*cos(B)) = √(157-132cos(42°)) ≈ 7.675
6. The ratio of side lengths is the same as the ratio of the sines of the opposite angles.
6/10 = sin(x)/sin(100°)
x = arcsin((6/10)*sin(100°)) ≈ 36.22°
we are given
A furniture manufacturer offers bookcases in 5 different sizes
so, number of bookcases of different size =5
A furniture manufacturer offers bookcases in 3 different colors
so, number of bookcases of different colors =3
since, every color is available in every size
so,
total number of different bookcases=(number of bookcases of different size)*(number of bookcases of different colors)
now, we can plug values
and we get
total number of different bookcases=5*3
So, total number of different bookcases is 15 ............Answer
Answer:
The sequence is convergent and the serie is divergent.
Step-by-step explanation:
Sequence:
We calculate the limit when n tends to infinity to see if it is convergent or divergent:
then, the sequence is convergent.
Serie:
. To know if it converges we are going to use the limit test:
. If this limit is non equal to 0 the serie diverges.
, then the serie diverges.
Answer:
Step-by-step explanation:
idk
