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3 years ago

What does B stand for in a right triangle?

Mathematics

2 answers:

mestny [16]3 years ago

3 0

Opposite angle in the right angle triangle

VikaD [51]3 years ago

3 0

It depends on what are your learning. Normally B stands for a number in a right triangle when trying tp find the hypotenuse

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What is equivalent to 81 1/3

g100num [7]

1/3 of 81 = 81 • 1/3 = 81/3 = 27

5 0

3 years ago

Mercury orbits around the sun is 87 24/25 earth days. Venus orbits the sun in 224 7/10 earth days, and Mars orbits the sun in 68

pav-90 [236]

For this case we have the following mixed numbers:

$87 \frac {24} {25}\\224 \frac {7} {10}\\686 \frac {49} {50}$

We convert each mixed number into decimal:

Mercury orbits: $87 \frac {24} {25} = \frac {25 * 87 + 24} {25} = \frac {2175 + 24} {25} = \frac {2199} {25} = 87.96$

Venus orbits: $224 \frac {7} {10} = \frac {10 * 224 + 7} {10} = \frac {2240 + 7} {10} = \frac {2247} {10} = 224.7$

Mars orbits: $686 \frac {49} {50} = \frac {50 * 686 + 49} {50} = \frac {34300 + 49} {50} = \frac {34349} {50} = 686.98$

Answer:

Mercury orbits: 87.96

Venus orbits: 224.7

Mars orbits: 686.98

5 0

3 years ago

Given cos(4x)+2<br><br> Find: Period, Shift, & Range

Yuki888 [10]

$\bf \qquad \qquad \qquad \qquad \textit{function transformations}
\\ \quad \\
% function transformations for trigonometric functions
\begin{array}{rllll}
% left side templates
f(x)=&{{ A}}sin({{ B}}x+{{ C}})+{{ D}}
\\\\
f(x)=&{{ A}}cos({{ B}}x+{{ C}})+{{ D}}\\\\
f(x)=&{{ A}}tan({{ B}}x+{{ C}})+{{ D}}

\end{array}\qquad$

$\bf \begin{array}{llll}
% right side info
\bullet \textit{ stretches or shrinks}\\
\quad \textit{horizontally by amplitude } |{{ A}}|\\\\
\bullet \textit{ flips it upside-down if }{{ A}}\textit{ is negative}\\\\
\bullet \textit{ horizontal shift by }\frac{{{ C}}}{{{ B}}}\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is negative, to the right}\\\\
\qquad if\ \frac{{{ C}}}{{{ B}}}\textit{ is positive, to the left}\\\\
\end{array}$

$\bf \begin{array}{llll}


\bullet \textit{vertical shift by }{{ D}}\\
\qquad if\ {{ D}}\textit{ is negative, downwards}\\\\
\qquad if\ {{ D}}\textit{ is positive, upwards}\\\\
\bullet \textit{function period or frequency}\\
\qquad \frac{2\pi }{{{ B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\\\
\qquad \frac{\pi }{{{ B}}}\ for\ tan(\theta),\ cot(\theta)
\end{array}$

now, with that template in mind, let's see

$\bf \begin{array}{llccll}
cos(&4x&+0)&+2\\
&\uparrow &\uparrow &\uparrow \\
&B&C&D
\end{array} 
\\\\\\
period\qquad \cfrac{2\pi }{B}\implies \cfrac{2\pi }{4}\implies \cfrac{\pi }{2}
\\\\\\
\textit{horizontal/phase shift}\qquad \cfrac{C}{B}\implies \cfrac{0}{4}\implies 0\impliedby none
\\\\\\
\textit{vertical shift}\qquad D=+2\impliedby \textit{2 units up}$

now the range, how far up and down it goes on the y-axis

well, for the graph of cos(x), the range is, goes up to 1, down to -1, is all,

the midline is at 0

now, with a vertical shift of 2 upwards, it moves the midline by 2 units, used to be at 0, now is at y = 2, but the amplitude never changed, is goes up and down still one unit,

but with the midline at 2, goes up to 3 and down to 1, so the range is 3 ⩽ y ⩽ 1

4 0

4 years ago

Use the interactive tool to graph the line given the following information:

Irina-Kira [14]

Based on your investigation, what is the value of b for the point (0,b)?
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Each band member had 12 tickets to sell to the spring concert.

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Matt sold the most, figure out the percentages of each by diving the top number by the bottom number.

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