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slamgirl [31]
3 years ago
11

Find the 73rd term of the arithmetic sequence 18, 30, 42, ...

Mathematics
1 answer:
Tju [1.3M]3 years ago
7 0

Answer:

882

Step-by-step explanation:

The n th term of an arithmetic sequence is

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 18 and d = 30 - 18 = 12, thus

a_{73} = 18 + (72 × 12) = 18 + 864 = 882

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Number 1 has a picture
MA_775_DIABLO [31]
Question 1

cos(C) = adj/hyp
cos(C) = BC/AC
cos(C) = 15/17

Answer: Choice C) 15/17

=============================================

Question 2

sin(E) = opp/hyp
sin(E) = FD/DE
sin(E) = 24/25

So angle E is the answer

=============================================

Question 3

AC is the adjacent side to the given angle A = 33 degrees
AB = 14 is the hypotenuse

cos(angle) = adjacent/hypotenuse
cos(33) = x/14
14*cos(33) = x
x = 14*cos(33)
x = 11.741
x = 11.7

Answer: 11.7

=============================================

Question 4

x = length of board

cos(angle) = adj/hyp
cos(55) = 6/x
x*cos(55) = 6
x = 6/cos(55)
x = 10.46068
x = 10.5

Answer: 10.5

=============================================

Question 5

112 is the adjacent side to the given angle 62 degrees
x = height of building, which is the opposite leg

tan(angle) = opp/adj
tan(62) = x/112
112*tan(62) = x
x = 112*tan(62)
x = 210.641364
x = 210.6

Answer: 210.6
3 0
3 years ago
What is the value of x in the equation 2.5(5x-5)=10+4(1.5+0.5x)
Alexus [3.1K]

Answer:

x= 19/7

Step-by-step explanation:

7 0
3 years ago
About 2,000,000 people visited the aquarium last year. If this number were rounded to the nearest million, what was the greatest
notsponge [240]
Okay, so there's a number rounded to the nearest million, in this case 2 million. So this tells me that the number of visitors is between 1,500,000 and 2,499,999. The reason why 1,499,999 doesn't count is because the hundred thousands digit is not 5 or above, so it doesn't count. It would round down to 1 million, not 2 million. The reason why 2,500,000 doesn't count, is because the hundred thousands digit is 5, so that rounds to 3 million, not 2 million. The greatest number of visitors that visited the aquarium has to be 2,499,999, because that's one digit away from 2.5 million, and the hundred thousands digit is a 4, not 5. The answer is 2,499,999
5 0
3 years ago
PLEASE ANSWER FAST
Brrunno [24]

Answer:

answer = c

Step-by-step explanation:

its because we need to add 1 more 4 for the number 4 to be the mode because the mode is the most nummber used

5 0
2 years ago
Here are 15 cards, numbered 1 through 15. if you pick a card, what is the probability that you choose an odd number or a two?
kondor19780726 [428]
9/15. There are 15 cards and 8 of them are odd and 1 is a 2. 
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3 years ago
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