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Gekata [30.6K]
3 years ago
15

Find the next 3 terms in the series 3+12+48+...

Mathematics
1 answer:
devlian [24]3 years ago
8 0
The next three terms are 192, 768, and 3072.

Each number is multiplied by 4 and its product becomes an addend.

     3 x 4 = 12
   12 x 4 = 48
   48 x 4 = 192
 192 x 4 = 768
 768 x 4 = 3072

3 + 12 + 48 + 192 + 768 + 3072 +....
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Find the length of DE. Round to the nearest hundredth. (Picture included)
LenKa [72]
Notice the picture
we have, the opposite side
the angle
and we want the hypotenuse

so recall your SOH CAH TOA \bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
% tangent
tan(\theta)=\cfrac{opposite}{adjacent}  =

which one has all that?  low and behold, is Ms Sine,
so let's bother Ms Sine

\bf sin(\theta)=\cfrac{opposite}{hypotenuse}\implies sin(27^o)=\cfrac{18}{hypotenuse}
\\\\\\
hypotenuse=\cfrac{18}{sin(27^o)}

make sure your calculator is in Degree mode, since the angle here is in degrees, as opposed to Radian mode

8 0
3 years ago
If a coin is flipped and then a six-sided number cube is rolled, what is the probability that the outcome will be Heads and a 2?
Lina20 [59]
The probability is 1/12.

There are two outcomes for flipping a coin and 6 for rolling a 6-sided number cube.  The sample space is:
(H, 1), (H, 2), (H, 3), (H, 4), (H, 5), (H, 6)
(T, 1), (T, 2), (T, 3), (T, 4), (T, 5), (T, 6)

There are 12 total outcomes.  Only one has heads and a 2, so the probability is 1/12.
3 0
4 years ago
What is the answer to (3-4i)+(2+5i)?
Wewaii [24]

(3 + 2) + ( - 4i + 5i) \\ 5 + i
5 0
3 years ago
Read 2 more answers
What is the volume of a rectangular prism with length 90 cm, height of 70 cm, and the width of 40 cm?
sergij07 [2.7K]
Volume=Legnth times width times height
legnth=90
height=70
width=40
volume=90 times 40 times 70
volume=3600 times 70
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answer is v=252,000 cm^3
6 0
3 years ago
Read 2 more answers
6 * 2/8 =<br> (Write as a fraction or a mixed number)
Lerok [7]
It would be 3/2 or 1.5
3 0
3 years ago
Read 2 more answers
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