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3 years ago

14

The area of a rectangular patio is 27 5 8 square meters. The width of the patio is 3 1 4 meters. What is the length? Enter your

answer as a mixed number in simplest form.

1 answer:

DedPeter [7]3 years ago

8 0

Answer:

Step-by-step explanation:

L and W are length and width, respectively.

W = 3¼ = 13/4

Area = LW = 27⅝ = 221/8 m²

L = area/W = (221/8)/(13/4) = (221/8)(4/13) + 221/26 = 17/2 = 8½ m

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General solutions of sin(x-90)+cos(x+270)=-1<br> {both 90 and 270 are in degrees}

mixer [17]

Answer:

$\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

Step-by-step explanation:

Given:

$\sin (x-90^{\circ})+\cos(x+270^{\circ})=-1$

First, note that

$\sin (x-90^{\circ})=-\cos x\\ \\\cos(x+270^{\circ})=\sin x$

So, the equation is

$-\cos x+\sin x= -1$

Multiply this equation by $\frac{\sqrt{2}}{2}:$

$-\dfrac{\sqrt{2}}{2}\cos x+\dfrac{\sqrt{2}}{2}\sin x= -\dfrac{\sqrt{2}}{2}\\ \\\dfrac{\sqrt{2}}{2}\cos x-\dfrac{\sqrt{2}}{2}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos 45^{\circ}\cos x-\sin 45^{\circ}\sin x=\dfrac{\sqrt{2}}{2}\\ \\\cos (x+45^{\circ})=\dfrac{\sqrt{2}}{2}$

The general solution is

$x+45^{\circ}=\pm \arccos \left(\dfrac{\sqrt{2}}{2}\right)+2\pi k,\ \ k\in Z\\ \\x+\dfrac{\pi }{4}=\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{4}\pm \dfrac{\pi }{4}+2\pi k,\ \ k\in Z\\ \\\left[\begin{array}{l}x=2\pi k,\ \ k\in Z\\ \\x=-\dfrac{\pi }{2}+2\pi k,\ k\in Z\end{array}\right.$

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3 years ago

The next model of a sports car will cost 12.7% less than the current model. The current model costs $49,000 . How much will the

Wittaler [7]

Percentage of a number.

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2 years ago

Read 2 more answers

Which equation represents a function?

Maurinko [17]

All the answers except C has a Vertical Line when graphed. It must pass the Vertical line test in order to be a function.

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C.) can pass the test since it's a horizontal line.

Hope this helps!

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2 years ago

What is 2/3 of the distance between the points U (-1,4) and B (8,5)

BlackZzzverrR [31]

Answer:

<h2> 6.037</h2>

Step-by-step explanation:

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3 years ago

How to solve and the answer

algol13

A reciprocal just flips the fraction

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2. $\frac{11}{1}$

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2 years ago