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LUCKY_DIMON [66]
3 years ago
6

Match the equation with the step needed to solve it.

Mathematics
1 answer:
ivanzaharov [21]3 years ago
7 0
Send more info , you have to match the 3 with 2
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In triangleABC, C is the right angle. If tanA = 8/6, find cosB
klemol [59]

<u>Short answer</u> = C) 8/10

<u>Working :</u>

Tan A = 8/6 = Opposite / AdjacentOpposite = 8 units

Adjacent = 6 units

Hypotenuse = \sqrt{8^{2} + 6^{2} }

                     = \sqrt{64 + 36 }

                     = \sqrt{100}

                     = 10 units

Cos B  = Adjacent/ Hypotenuse

        ∴  cos B= 8/10

4 0
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pav-90 [236]

Answer: 20/3????

Step-by-step explanation:

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3 years ago
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lukranit [14]

Answer: 225m^3

Step-by-step explanation:

Volume = Bh where "B" is the area of the base and "h" is the height

So, area of the base = 1/2(length)(height) = 1/2(5)(9) = 22.5 m^2.

Then multiply by the height.

22.5x10= 225m^3

3 0
3 years ago
Write an equation of cosine function with amplitude 2 and a period 4pi
Arisa [49]
\bf \qquad \qquad \qquad \qquad \textit{function transformations}&#10;\\ \quad \\&#10;% function transformations for trigonometric functions&#10;\begin{array}{rllll}&#10;% left side templates&#10;f(x)=&{{  A}}cos({{  B}}x+{{  C}})+{{  D}}\\&#10;f(x)=&{{  A}}sin({{  B}}x+{{  C}})+{{  D}}\\&#10;f(x)=&{{  A}}tan({{  B}}x+{{  C}})+{{  D}}&#10;\\ \quad \\&#10;&#10;\end{array}

\bf \begin{array}{llll}&#10;% right side info&#10;\bullet \textit{ stretches or shrinks}\\&#10;\quad \textit{horizontally by amplitude } |{{  A}}|\\\\&#10;\bullet \textit{ horizontal shift by }\frac{{{  C}}}{{{  B}}}\\&#10;\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is negative, to the right}\\&#10;\qquad  if\ \frac{{{  C}}}{{{  B}}}\textit{ is positive, to the left}&#10;\end{array}

\bf \begin{array}{llll}&#10;&#10;&#10;\bullet \textit{vertical shift by }{{  D}}\\&#10;\qquad if\ {{  D}}\textit{ is negative, downwards}\\&#10;\qquad if\ {{  D}}\textit{ is positive, upwards}\\\\&#10;\bullet \textit{function period}\\&#10;\qquad \frac{2\pi }{{{  B}}}\ for\ cos(\theta),\ sin(\theta),\ sec(\theta),\ csc(\theta)\\&#10;\qquad \frac{\pi }{{{  B}}}\ for\ tan(\theta),\ cot(\theta)&#10;\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\\\\&#10;-----------------------------\\\\&#10;&#10;\begin{array}{llll}&#10;f(\theta)=&\pm 2cos&\left(\frac{1}{2}\theta  \right)\\&#10;&\ \uparrow &\ \uparrow \\&#10;&A&B&#10;\end{array}
8 0
4 years ago
Which equation represents the relationship shown in the table?
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Answer:

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Step-by-step explanation:

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