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3 years ago

PLSSSS HELPPPP

Mathematics

1 answer:

Mekhanik [1.2K]3 years ago

5 0

Answer:

A. 1088 ft

Step-by-step explanation:

A = 1/2(b + b)h

A = 1/2(75.5 + 60.5)16

A = 1088 ft

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Write an equation of cosine function with amplitude 2 and a period 4pi

Arisa [49]

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

\end{array}$

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

$\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}\\
\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.. hmmm let's see, keeping in mind the template above

so, amplitude of 2, A=2, thus |A| = ±2, so, you can use either

and period of 4π, well, that simply means that

$\bf \cfrac{2\pi }{B}=4\pi \implies \cfrac{2\pi }{4\pi }=B\implies \cfrac{1}{2}=B\\\\
-----------------------------\\\\

\begin{array}{llll}
f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta \right)\\
&\ \uparrow &\ \uparrow \\
&A&B
\end{array}$

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4 years ago

Help me with this problem

ryzh [129]

Answer:

angle 1 = angle 3

= 180°-136°

=44°

= angle 3

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3 years ago

Tamiku [17]

Answer:

22.) 2.0651

23.) 4.231

Step-by-step explanation:

22.) Substitute values into equation

(x)(y) + 2 =

(2.1)(0.031) + 2 = 2.0651

23.) Substitute values into equation

(y) + (x)2

(0.031) + (2.1)2 = 4.231

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3 years ago

Total power generated by wind worldwide doubles every 3 years. In a particular year, the world wind-generating capacity was abou

IceJOKER [234]

<span>You are given the sum of the power created by wind worldwide which doubles every 3 years. In one an unknown year, the world wind generating capacity was about 91 thousand megawatts. You are asked for the growth rate. the growth rate formula is given below:

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2 = (present/91MW)^(1/3)
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3 years ago

each car on a commuter train can seat 114 passengers. if the train has 7 cars how many passengers can the train seat?

Sav [38]

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The train can hold 1008 people

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