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3 years ago

What is the common ratio for the sequence 20,10,5,2.5,...?

Mathematics

2 answers:

Ganezh [65]3 years ago

7 0

12 always constant for

sveticcg [70]3 years ago

3 0

Answer:

Geometric Sequence 20, 10, 5, 2.5, ...

First term, a 20

Common ratio, r

10 ÷ 20 = 0.5 5 ÷ 10 = 0.5 etc.

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-2.1f-18

Step-by-step explanation:

-2.4f+0.3f=-2.1f.

-16-3=-19

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4 years ago

Graph the solutions of the linear inequality −2x + 2y ≥ −4.

Mice21 [21]

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3 years ago

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3 years ago

Ab = c + d. solve for b

Mekhanik [1.2K]

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3 years ago

1. In ABC, A=45 degrees, B=75 degrees, and BC=12. What is the length of AB?

Aleksandr-060686 [28]

We know that sum of the interior angles of any triangle equal 180° :

So :

A + B + C = 180°

45° + 75° + C = 180°

120° + C = 180°

Both sides minus ( 120°) :

C = 180° - 120°

C = 60°

_________________________________

According to the theorem of sinuses :

$\frac{AB}{ \sin(C) } = \frac{BC}{ \sin(A) } \\$

$\frac{AB}{ \sin(60) } = \frac{12}{ \sin(45) } \\$

$\frac{AB}{ \frac{ \sqrt{3} }{2} } = \frac{12}{ \frac{ \sqrt{2} }{2} } \\$

$Multiply \: both \: sides \: by \: \frac{ \sqrt{3} }{2}$

$AB = \frac{24}{ \sqrt{2} } \times \frac{ \sqrt{3} }{2} \\$

$AB = \frac{12 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{2 \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ ({ \sqrt{2} })^{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times \sqrt{2} \times 6 \sqrt{3} }{ \sqrt{2} } \\$

$AB = \frac{ \sqrt{2} \times 6 \sqrt{3} }{1} \\$

$AB = \sqrt{2} \times 6 \sqrt{3}$

$AB = 6 \sqrt{2 \times 3}$

$AB = 6 \sqrt{6}$

_________________________________

I think this is the correct answer.

And we're done.

Thanks for watching buddy good luck.

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4 0

4 years ago