2 years ago

Write the ratio as a fraction in simplest form , with whole numbers in the numerator and denominator 12 yrd to 16 yrd

Mathematics

1 answer:

UkoKoshka [18]2 years ago

8 0

Answer:

3/4

Step-by-step explanation:

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Find the quotient of –30 and –15.

horsena [70]

-30+-15
=-45
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The distance between London and Cardiff is 150 miles. <br> what is the distance in kilometers?

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241.402 kilometers

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I can't find a down arrow soo look at the image please!!

Zina [86]

Answer:

the answer would be 16

Step-by-step explanation:

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3 years ago

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What are all the exact solutions of -3tan^2(x)+1=0? Give your answer in radians.

goldenfox [79]

$\displaystyle\\
 -3\tan^2x + 1 = 0\\\\
 -3\tan^2x = -1\\\\
\tan^2x = \frac{-1}{-3} \\\\
\tan^2x = \frac{1}{3} ~~~~~ \Big|~\sqrt{~~~} \\\\
\sqrt{\tan^2x} = \sqrt{\frac{1}{3}} \\\\
\tan x = \Big| \frac{1}{ \sqrt{3} } \Big|\\\\
\tan x = \Big| \frac{\sqrt{3}}{ 3 } \Big|\\\\
\tan x = \frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_1= \frac{\pi}{6} + k\pi,~~k \in N \\\\ 
\tan x = -\frac{\sqrt{3}}{ 3 }~~~\Longrightarrow~~x_2= \pi-\frac{\pi}{6} + k\pi = \frac{5\pi}{6} + k\pi,~~k \in N \\\\ 
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2 years ago

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When n=1 there is 1 dot. when n=2 there are 3 dots, when n=3 there are 6 dots. notice that the total number of dots increases by

gayaneshka [121]

Answer:

d(n) = n(n + 1)/2
n = 1 ⇒ d(1) = 1(1 + 1)/2 = 2/2 = 1, proved

d(k) + (k + 1) =
k(k + 1)/2 + (k + 1) =
[k(k + 1) + 2(k + 1)]/2 =
[(k + 1)(k + 1 + 1)]/2 =
d(k + 1)

Proved

6 0

2 years ago