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vitfil [10]
3 years ago
5

Find the 61st term of the arithmetic sequence -12,-28,-44...

Mathematics
1 answer:
fiasKO [112]3 years ago
5 0

Answer:

-1.4152338

Step-by-step explanation:

Formula

axr raise power n-1

Common ratio is T2/T1

-28/-12 is 2.3

-28(2.3) raise power 60

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Find sin(x/2), cos (x/2), and tan(x/2) from the given information.
zhannawk [14.2K]

Step-by-step explanation:

sin(x/2) = sqrt((1 - cos(x))/2)

cos(x/2) = sqrt((1 + cos(x))/2)

tan(x/2) = sin(x/2)/cos(x/2)

sin(x) = 15/17

so, we can assume the Hypotenuse of the right-angled triangle is 17, the vertical leg is 15.

via Pythagoras we get the 3rd, horizontal side :

17² = 15² + side²

289 = 225 + side²

64 = side²

side = 8

cos(x) = 8/17

sin(x/2) = sqrt((1 - 8/17)/2) = sqrt(9/34) = 3/sqrt(34) =

= 0.514495755...

cos(x/2) = sqrt((1 + 8/17)/2) = sqrt(25/34) = 5/sqrt(34) =

= 0.857492926...

tan(x/2) = 3/sqrt(34) / 5/sqrt(34) = 3/sqrt(34) × sqrt(34)/5 =

= 3/5 = 0.6

6 0
2 years ago
Gabriel is signing up for a gym membership with a one-time fee to join and then a monthly fee to remain a member. The the monthl
seraphim [82]

Answer;

T=100+40c

Step-by-step explanation:

T is the total cost so everything has to add up to that. 100 is a flat cost, plus 40 dollars a month for however long you stay with that program.

5 0
3 years ago
Juliette buys a rosemary plant that is 12 cm and grows 1 cm per week (w). Kimberly starts one from seed but the package says it
k0ka [10]
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12cm already and in 12 week it will grow 12cm more so total 24cm in week
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Find the height of the rectangular prism below if the volume is 334.8 meters cubed.If the length is 18 and the width is 6
SpyIntel [72]

Answer:

3.1 meters

Step-by-step explanation:

Let the height of rectangular prism be h m.

\therefore \: h =  \frac{volume}{l \times w}  \\  =  \frac{334.8}{18 \times 6}   \\  =  \frac{334.8}{108}  \\   \huge \red{ \boxed{\therefore \: h =3.1 \: m}}

Hence, height of rectangular prism = 3.1 m

8 0
4 years ago
What are the next two terms in the pattern 3, 6, 5, 10, 18, 17...?
Evgen [1.6K]
20 and 19 because you just need to follow the pattern.
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