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2 years ago

Select all that are undefined. sec (45°) csc (0°) sec (90°)

2 answers:

8 0

Sec(45°) = 1/cos(45°) = 1/(rt(2)/2) = rt(2)

csc(0°) = 1/sin(0°) = 1/0 /undefined/

sec(90°) = 1/cos(90°) = 1/0 /undefined/

Murrr4er [49]2 years ago

3 0

Answer:

csc (0°) and sec (90°) are not defined.

Step-by-step explanation:

Given the options wehave to select the option which is undefinesd

First option: sec 45°

$sec45^{\circ}=\frac{1}{cos(45^{\circ})}=\frac{1}{\frac{1}{\sqrt2}}=\sqrt2$

which is defined

Second option: csc(0°)

$csc(0^{\circ})=\frac{1}{sin0}=\frac{1}{0}=\infty$

which is not defined

Third option: sec(90°)

$sec(90^{\circ})=\frac{1}{cos(90)}=\frac{1}{0}=\infty$

which is not defined.

Hence, option 2 and 3 are not defined.

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yaroslaw [1]

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3 years ago

A track has the shapes shown. what is the perimeter ?

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2 years ago

Jake has a rectangular garden that measures 12 feet by 14 feet. He wants to increase the area by 50% and plans to increase each

emmasim [6.3K]

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Explanation:</h2><h2 />

First of all, let's calculate the area of the original rectangular garden:

$A=b\times h \\ \\ b:base \\ \\ h:height \\ \\ \\ b=12ft \\ \\ h=14ft \\ \\ \\ A=12(14) \\ \\ A=168ft^2$

Jake wants to increase the area by 50%, so the new area would be:

$A'=168(1.5) \\ \\ A'=252ft^2$

He wants to increase the area by 50% and plans to increase each dimension by equal lengths, x, so this is represented by the figure below, therefore:

$(12+x)(14+x)=252 \\ \\ 168+12x+14x+x^2-252=0 \\ \\ x^2+26x-84=0 \\ \\ \\ Using \ quadratic \ formula: \\ \\ x=\frac{-b \pm \sqrt{b^2-4ac}}{2a} \\ \\ a=1 \\ \\ b=26 \\ \\ c=-84 \\ \\ \\ x=\frac{-26 \pm \sqrt{26^2-4(1)(-84)}}{2(1)} \\ \\ x=\frac{-26 \pm \sqrt{1012}}{2} \\ \\ \\ Two \ solutions: \\ \\ x_{1}=-13+\sqrt{253} \approx 2.9\\ \\ x_{2}=-13-\sqrt{253} \approx -28.9 \\ \\ x_{2} \ is \ discarded \ because \ it \ can't \ be \ negatives$

Finally:

<em>In order to increase the area of a rectangular garden that measures 12 feet by 14 feet by 50% Jake must increase each dimension by equal lengths, x:</em>

$x\approx 2.9ft$

<h2>Learn more:</h2>

Dilation: brainly.com/question/10945890

#LearnWithBrainly

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2 years ago

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Dafna11 [192]

Keeping in mind that x = rcos(θ) and y = rsin(θ).

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\begin{cases}
x=7cos(330^o)\\
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\end{cases}\qquad \qquad v=
\begin{cases}
x=8cos(30^o)\\
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\qquad \frac{8\sqrt{3}}{2}\\
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\qquad 4
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\\\\\\
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-------------------------------$

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\\\\\\
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