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Mathematics

1 answer:

alina1380 [7]3 years ago

4 0

Answer:

Step-by-step explanation:

Well you have to know that 1+3+5+...+(2n-1)=n^2

so n^2=196

n^2=(14)^2

n=14

so it's d

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I am driving from oakland california to erlanger kentucky. The distance is 2,364.6 miles. My gas tank gets 25 miles per gallon o

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Answer:$1655.22

Step-by-step explanation:

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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:

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Step-by-step explanation:

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

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#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;

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