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2 years ago

I don’t understand. Need help:/

Mathematics

2 answers:

miv72 [106K]2 years ago

7 0

124.71 i’m pretty sure cause 60 is on both sides

Sidana [21]2 years ago

7 0

Answer:

62.35

Step-by-step explanation:

Triangle ABC is an isosceles triangle. That means Side CA equals Side CB.

Drawing an altitude line from point A, it divides Side CB into halves. 1/2 of 12 = 6. (Let's call that point M)

Side AM^2 = AC^2 - CM^2

---------------------> 12^2 - 6^2 = 144 -36 = 108

AM = $\sqrt{108}$ = 6 $\sqrt{3}$

To find the area: CB * AM * 1/2

---------------------> 12 * 6 $\sqrt{3}$ * 1/2 = 36 $\sqrt{3}$

36 $\sqrt{3}$ as a decimal is approximately 62.35

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The 5th term in a geometric sequence is 40. The 7th term is 10. What is (are) the possible value(s) of the 4th term?

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Answer:

possible values of 4th term is 80 & - 80

Step-by-step explanation:

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We can solve for a in the first equation as:

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Now we can plug this into a of the 2nd equation:

$ar^6=10\\(\frac{40}{r^4})r^6=10\\40r^2=10\\r^2=\frac{10}{40}\\r^2=\frac{1}{4}\\r=+-\sqrt{\frac{1}{4}} \\r=\frac{1}{2},-\frac{1}{2}$

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$a=\frac{40}{r^4}\\a=\frac{40}{(\frac{1}{2})^4}\\a=640$

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4th term = ar^3

Plugging in a = 640 and r = 1/2 and -1/2 respectively, we get 2 possible values of 4th term as:

$ar^3\\1.(640)(\frac{1}{2})^3=80\\2.(640)(-\frac{1}{2})^3=-80$

possible values of 4th term is 80 & - 80

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