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zhannawk [14.2K]
2 years ago
5

What is the ratio of the leg opposite the angle to the leg adjacent to the angle.

Mathematics
1 answer:
vichka [17]2 years ago
3 0

Answer:

tangent (angle) or tan (angle)

Step-by-step explanation:

tangent (angle) = the leg opposite the angle / the leg adjacent to the angle

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iren2701 [21]

Answer: \bold{a)\quad 90\sqrt2\qquad \qquad b)\quad 45\sqrt2}

<u>Step-by-step explanation:</u>

Since you are looking for the distance from home plate to second base, you are actually looking for the length of the diagonal of the square.  Use the Pythagorean Theorem: a² + b² = c² where a and b are the side lengths and c is the length of the diagonal.

90^2+90^2=c^2\\8100+8100=c^2\\16200=c^2\\\sqrt{16200}=c\\\boxed{90\sqrt2}=c\qquad \qquad \text{which is approximately 127.28}\\\\\\\\\text{Halfway between home plate and 2nd base means divide that length by 2:}\\\\\dfrac{90\sqrt2}{2}=\boxed{45\sqrt2}

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3 years ago
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3 years ago
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Merina is scheduled to make two loan payments to Bradford in the amount of $1,000 each, two months and nine months from now. Mer
Svetach [21]

well, we're assuming all along that Merina owes Bradford $2000, because in the 1st scenario, she was going to pay twice $1000.

on the 2nd scenario, she'll be paying the same $2000 but split 7 months from now and then 7 months later, same 2000 bucks, at which point Bradford applied 8.5% interest.

using those assumptions, since the wording is not quite clear, we can say that Merina is simply paying 2000 bucks plus the 8.5%

\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{8.5\% of 2000}}{\left( \cfrac{8.5}{100} \right)2000}\implies 170 \\\\[-0.35em] ~\dotfill\\\\ \cfrac{\stackrel{principal}{2000}~~ + ~~\stackrel{interest}{170}}{2}\implies \stackrel{\textit{two equal payments of}}{1085}

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2 years ago
In how many ways can 4 people sit next to each other in a movie theater row? [?] question 4 options:
emmainna [20.7K]
Any of the 4 people can take the first seat
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3 0
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