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3 years ago

PLEASE ANSWER WILL GIVE BRAINLIEST!!! Find the length of side x to the nearest tenth.

Mathematics

1 answer:

katen-ka-za [31]3 years ago

8 0

$\qquad \qquad\huge \underline{\boxed{\sf Answer}}$

Let's use Trigonometric relations to find the value of hypotenuse (x), in the given right angled Triangle.

$\qquad \sf \dashrightarrow \: \cos(45) = \dfrac{11}{{x}^{} }$

$\qquad \sf \dashrightarrow \: \dfrac{1}{ \sqrt{2} } = \dfrac{11}{x}$

$\qquad \sf \dashrightarrow \: x = 11 \times \sqrt{2}$

$\qquad \sf \dashrightarrow \:x = 11 \sqrt{2 \:} \: units$

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Which formula can be used to describe the sequence?

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Answer:

The formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

Step-by-step explanation:

Given : sequence -4, −24, −144,...

We have to find the formula that can be used to describe the given sequence -4, −24, −144,...

A geometric sequence is a sequence in which each higher term is multiplied by a constant number called common ratio.

Written as a, ar , ar², ar³., ....

and general term is calculated as $a_n=ar^{n-1}$

Where a is first term and r is common ratio.

Consider the given sequence -4, −24, −144,...

We find the common ratio ,

$a=-4, \\\\ar=-24,\\\\\ ar^2=-144$

Thus, common ratio is given as $r=\frac{ar}{r}=\frac{-24}{-4}=6$

Thus, the given sequence is a geometric sequence.

The general term is given by $a_n=ar^{n-1}$

Put a = -4 , r = 6

We have

$a_n=-4(6)^{n-1}$

Thus, the formula that can be used to describe the given sequence is $f(x)=-4(6)^{x-1}$

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Among the coefficient signs (++-) there is one sign change, so Descarte's rule of signs tells you there is one positive real root. Changing x to -x does not affect the signs, so there is also one negative real root. Then there are two complex roots to bring the total number to 4, the degree of the polynomial.

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