If 200 students were

Mathematics

2 answers:

Marat540 [252]3 years ago

8 0

Answer:

90 Students

Step-by-step explanation:

First do 45 divided by 100 to get 0.45

Secondly do 0.45 times 200 to get 90

Pachacha [2.7K]3 years ago

4 0

Answer:90

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The function a(t)=424(1+0.06)

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3 years ago

What degree is a straight angle?

natita [175]

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180 degree

Step-by-step explanation:

A straight line is 180 degrees, or a "straight" angle.

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3 years ago

Write the given expression as an algebraic expression in x. tan(2 cos^-1(x))

miv72 [106K]

$\bf tan\left[ 2cos^{-1}(x) \right]\implies tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]
\\\\\\
\textit{if we say }cos^{-1}\left( \frac{x}{1} \right)=\theta\textit{ that means }tan\left[ 2cos^{-1}\left( \frac{x}{1} \right) \right]\iff tan(2\theta)\\\\
-----------------------------\\\\
cos^{-1}\left( \frac{x}{1} \right)=\theta\implies cos(\theta)=\cfrac{x}{1}\cfrac{\leftarrow adjacent=a}{\leftarrow hypotenuse=c}\\\\
-----------------------------\\\\
$

$\bf \textit{again, using the pythagorean theorem to get the opposite side}
\\\\\\
c^2=a^2+b^2\implies \pm\sqrt{c^2-a^2}=b\implies \pm\sqrt{1^2-x^2}=b
\\\\\\
\pm\sqrt{1-x^2}=b\\\\
-----------------------------\\\\
tan(2\theta)=\cfrac{2tan(\theta)}{1-tan^2(\theta)}\implies tan(2\theta)=\cfrac{2\cdot \frac{\pm\sqrt{1-x^2}}{x}}{1-\left( \frac{\pm\sqrt{1-x^2}}{x} \right)^2}
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$\bf tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{1-\frac{1-x}{x}}\implies 
tan(2\theta)=\cfrac{\frac{\pm2\sqrt{1-x^2}}{x}}{\frac{x-1+x}{x}}
\\\\\\
tan(2\theta)=\cfrac{\pm2\sqrt{1-x^2}}{x}\cdot \cfrac{x}{2x-1}
\implies 
tan(2\theta)=\cfrac{\pm 2\sqrt{1-x^2}}{2x-1}$

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3 years ago

If the perimeter of the triangle is 73 mm, find the value of x.

Dmitry_Shevchenko [17]

Answer:

27 mm

Step-by-step explanation:

The perimeter of the triangle is the sum of all sides lengths. In given triangle

first side has the length of 11 mm, the second side has the length of 35 mm.

If the perimeter is 73 mm, then

$73=11+35+x,\\ \\ x+46=73,\\ \\x=73-46,\\ \\x=27\ mm.$