What is the quotient?

Mathematics

1 answer:

yuradex [85]3 years ago

5 0

Answer:

-1.58208955224

Step-by-step explanation:

DO THE MATH

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3 years ago

4k-36 = 9k-44 what is k

Effectus [21]

4k-36 = 9k-44

add 36 to both sides:

4k =9k-8

subtract 9k from each side

-5k=-8

k = -8 / -5 = 8/5

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3 years ago

If A = {4, 7, 10, 13, 17} and B = {3, 5, 7, 9}, then which of the following statements is true?

Marysya12 [62]

I have a feeling, these were the answer choices you were trying to make: <span>A ∪ B = {7}
B ⊆ B
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</span>

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3 years ago

Find The art length of a sector with an area of 8 square units.

frez [133]

$\bf \textit{area of a sector of a circle}\\\\
A=\cfrac{\theta \pi r^2}{360}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
A=8\\
r=4
\end{cases}\implies 8=\cfrac{\theta \pi 4^2}{360}\implies \cfrac{8\cdot 360}{4^2\pi }=\theta 
\\\\\\
\cfrac{2880}{16\pi }=\theta \implies \boxed{\cfrac{180}{\pi }=\theta }\\\\
-------------------------------\\\\$

$\bf \textit{arc's length}\\\\
s=\cfrac{\theta \pi r}{180}\quad 
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
\theta =\frac{180}{\pi }\\
r=4
\end{cases}\implies s=\cfrac{\frac{180}{\underline{\pi} }\underline{\pi} \cdot 4}{180}\implies s=\cfrac{\underline{180}\cdot 4}{\underline{180}}
\\\\\\
\boxed{s=4}$

if you do a quick calculation on what that angle is, you'll notice that it is exactly 1 radian, and an angle of 1 radian, has an arc that is the same length as its radius.

that's pretty much what one-radian stands for, an angle, whose arc is the same length as its radius.

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3 years ago