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2 years ago

find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3

Mathematics

1 answer:

Softa [21]2 years ago

7 0

Answer:

123

Step-by-step explanation:

3 + (16 - 1)8

3 + (15)8

3 + 120

123

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Vaselesa [24]

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2 years ago

Dean loves rocks! He has 666 pieces of granite, 333 pieces of marble, 141414 pieces of sandstone, and 111 pieces of slate.

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2 years ago

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nadya68 [22]

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1 year ago

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likoan [24]

"the following" of what? I think you are missing the list

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2 years ago

Read 2 more answers

Jack looks at a clock tower from a distance and determines that the angle of elevation of the top of the tower is 40°. John, who

zmey [24]

Answer:

18.7939 m

Step-by-step explanation:

-Let x be the distance between John and clock tower.

-Let y be the vertical distance from the eyes of the two men standing to the top of the clock tower.

#Taking the right triangle ACD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 60\textdegree=\frac{y+1.5}{x}\\\\y=x \ Tan \ 60\textdegree -1.5$

#Taking the right triangle ABD:

$\Tan \ theta=\frac{Perpendicular \ Height}{Base}\\\\Tan \ 40\textdegree=\frac{y+1.5}{x+20}\\\\y=(x+20)\ Tan \ 40\textdegree -1.5$

#We equate the two yo solve for x and y;

$(x+20)\ Tan \ 40\textdegree -1.5=x\ Tan \ 60\textdegree -1.5\\\\(x+20)\ Tan \ 40\textdegree=x\ Tan \ 60\textdegree\\\\0.8391x+16.7820=1.7321x\\\\x=18.7939$

Hence, John's distance from the tower's base is 18.7939 m

8 0

2 years ago

find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3​

find the 16th term of the arithmetic sequence whose common difference is d=8 and whose first term is a↓1=3