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2 years ago

The height of a triangle is 4 m less than its base. The area of the triangle is 48 m^2.

Mathematics

1 answer:

masya89 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

Let x = base measurement; then height = (x-4).

A = ½•base•height 48 = ½x(x-4

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Answer:

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jek_recluse [69]

Answer:

$S_{31}=71.3$

Step-by-step explanation:

The nth term of an arithmetic sequence is given by the formula,

$U_n=a_1+(n-1)d$

We were given that the 9th term is $17$ .

$\Rightarrow 17=a_1+(9-1)(-2.1)$

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$\Rightarrow 17=a_1-\frac{84}{5}$

$\Rightarrow 17+\frac{84}{5}=a_1$

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The sum of the first n-terms is given by the formula,

$S_n=\frac{n}{2}(2a_1+(n-1)d)$

To find $S_{31}$ , we substitute $n=31$ , $a_1=\frac{169}{5}$ and $d=-2.1$ .

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(31-1)(-2.1))$

$\Rightarrow S_{31}=\frac{31}{2}(2(\frac{169}{5}+(30)(-2.1))$

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$\Rightarrow S_{31}=\frac{713}{10}$

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The correct answer is D

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