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DanielleElmas [232]

2 years ago

11

The length of the base of a triangle is 8.5 cm, and its height is 5.4 cm. if the area of the triangle is half of the product of

its base length and height. The area of the triangle is

1 answer:

lawyer [7]2 years ago

7 0

Area = 1/2bh = 1/2 x 8.5 x 5.4 = 22.95 squared centimeter

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How many terms are in the arithmetic sequence 9, 2, −5, . . . , −187?

Fantom [35]

9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.

$\bf n^{th}\textit{ term of an arithmetic sequence}\\\\
a_n=a_1+(n-1)d\qquad 
\begin{cases}
n=n^{th}\ term\\
a_1=\textit{first term's value}\\
d=\textit{common difference}\\
----------\\
a_1=9\\
d=-7\\
a_n=-187
\end{cases}
\\\\\\
-187=9+(n-1)(-7)\implies -187=9-7n+7
\\\\\\
7n=9+7+187\implies 7n=203\implies n=\cfrac{203}{7}\implies \boxed{n=29}$

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