Answer:
Step-by-step explanation:
The common ratio is given as 2, so the base of any exponential must be 2 (not -2 or 2.25). The 4th term is negative, so the initial value must be negative (since the multiplying factor is positive). The only selection matching these requirements is d.
You know the general term is ...
... an = a1·r^(n-1)
so the 4th term is
... -18 = a1·2^(4-1) = 8·a1
Then the first term is ...
... a1 = -18/8 = -2.25 . . . . . confirms our choice of answer d.
Answer:
4. 21
5. 32
Step-by-step explanation:
First question:
sin(x) = opp/hyp = 22/63 = 0.3492
x = sin⁻¹(0.3492)
20.43. Rounded to the nearest degree, it would be 21.
Second question:
sin(x) = opp/hyp = 18/34 = 0.5294
x = sin⁻¹(0.5294)
31.96. Rounded to the nearest degree, it would be 32.
Let me know if you have any problems.
Answer:
The author is stating his or her feelings.
Step-by-step explanation:
It says "Relief washed over us. Whatever had been chasing us was long gone. We were home and finally safe behind a locked door." She's /he's telling the emotions.
The circumference of a circle is C=2πR, where R is the radius of the circle and π≈3.14.
So if we open the circumference of the circle into a straight line segment, the length of this segment is C=2πR≈2*3.14*R=6.28R
4 rotations mean 4 circumferences that is 4 segments of length 6.28R,
which makes a linear distance of 4*6.28R=25.12R
i: the radius of the smaller wheel is R=r, thus it covers a distance of 25.12r feet
ii: the radius of the smaller wheel is R=2r, thus it covers a distance of 25.12*2r=50.24r (feet)
50.24r is twice 25.12r, thus the larger wheel traveled Twice the distance of the smaller one.
Answer: the larger covered twice the distance of the smaller.
