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d1i1m1o1n [39]
1 year ago
10

Using the formula for area of a rectangle, A = lw, solvefor the length, l.

Mathematics
1 answer:
White raven [17]1 year ago
4 0

ANSWER

l=\frac{A}{w}

EXPLANATION

We want to solve for the length, l, in the formula for the area of a rectangle:

A=lw

We simply want to make the length the subject of the formula. To do this, divide both sides of the formula by w:

\begin{gathered} \frac{A}{w}=\frac{lw}{w} \\ \Rightarrow l=\frac{A}{w} \end{gathered}

That is the answer.

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What is the inequality -3x + 1 < 7 look like on a number line.
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Step-by-step explanation:

First you must simplify the equation:

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subtract 1 from both sides:

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than divide both sides by -3, which switches the inequality sign:

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son4ous [18]

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The value of the expression 2\cos(t) + \tan^2(t) is 4 and the exact value of \sin^{-1}(\sin(\frac{5\pi}{3})) is \frac{5\pi}{3}

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The point on the unit circle is given as:

P = (\frac 12, \frac{\sqrt{3}}2)

A point on a unit circle is represented as: (x,y), such that:

cos(t) = x and sin(t) = y.

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\cos(t) = \frac 12

\sin(t) = \frac{\sqrt 3}{2}

Calculate tan(t) using:

\tan(t) = \frac{\sin(t)}{\cos(t)}

So, we have:

\tan(t) = \frac{\frac{\sqrt 3}{2}}{1/2}

Evaluate

\tan(t) = \sqrt 3

The expression is then calculated as:

2\cos(t) + \tan^2(t) = 2 * \frac12 + (\sqrt 3)^2

Evaluate each term

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Evaluate the sum

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Hence, the value of the expression 2\cos(t) + \tan^2(t) is 4

<h3>How to solve the arcsin expression?</h3>

The expression is given as:

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6 0
2 years ago
a line in the standard (x,y) coordinate plane contains the points M(-2,4) and N(8,10) What is the midpoint of MN
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Step-by-step explanation:

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Substituting the given points:-

Midpoint of MN =  (-2 + 8)/2 ,  (4 + 10)/2

= 6/2 , 14/2

= (3, 7)   (answer)

3 0
4 years ago
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