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7nadin3 [17]
3 years ago
9

the perimeter of a parallelogram is 72 meter. the width of the parallelogram is 4 meters less than its length. find the length a

nd the width of the parallelogram
Mathematics
1 answer:
xz_007 [3.2K]3 years ago
6 0
"<span>Start by setting up the standard equation for perimeter of a parallelogram, P=2w+2h (these variables of course being width and height). </span>
Now, substitute in what you know...

<span>The problem tells us that width is equal to height minus four. This means that, in order to keep only one variable in this problem, we will write width as h-4. </span>
<span>The problem also tells us that 72 is the perimeter, so we substitute that for P. </span>

72=2(h-4)+2h
<span>Now solve from here. </span>
<span>(Distribute first) </span>
72=2h-8+2h
(Combine like terms)
72=4h-8
80=4h
(Isolate h)
80/4=h
<span>20=h"</span>
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Calculate cos(480°) and sin(480°).
hram777 [196]

Answer:

\cos(480^\circ)=-\dfrac{1}{2}

\sin(480^\circ)=\dfrac{\sqrt{3}}{2}

Step-by-step explanation:

Calculate the value of trigonometry function.

\cos(480^\circ) and \sin(480^\circ)

Split the angle between 0 to 90° using trigonometry formula.

\Rightarrow \cos(360^\circ+120^\circ)  

\Rightarrow \cos(120^\circ)                \because \cos(360+\theta)=\cos\theta

\Rightarrow \cos(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow -\cos(60^\circ)                       \because \cos(180-\theta)=-\cos\theta

\Rightarrow -\dfrac{1}{2}

Therefore, cos(480°) = -0.5

\Rightarrow \sin(360^\circ+120^\circ)  

\Rightarrow \sin(120^\circ)                \because \sin(360+\theta)=\sin\theta

\Rightarrow \sin(180^\circ-60^\circ)             \because 120=180-60

\Rightarrow \sin(60^\circ)                       \because \sin(180-\theta)=\sin\theta

\Rightarrow \dfrac{\sqrt{3}}{2}

Therefore, sin(480°) = 0.866

7 0
3 years ago
Solve the inequality -7x &gt; 21. What is the graph of the solution?
sdas [7]
<h2>Inequality</h2><h3>-7x > 21</h3>

<em>Divide both sides by −7. Since −7 is <0, the inequality direction is changed.</em>

<h3>x< 21/-7</h3>

<em>Divide 21 by −7 to get −3. </em>

<h3>x < −3</h3>

<em>The image is blurred, so options "A" and "B" are very similar, it may be a mistake. But you can check which one is correct.</em>

<em />

<h2>[See attached image]      </h2>

8 0
2 years ago
Complete the input output table for the function y=3^x
egoroff_w [7]

Answer:

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

Step-by-step explanation:

Step 1. Substitute for x (1,2,3,4,5) in the functions to solve for the output of y.

y=3^x

when x= 1

y=3¹ = 3

when x= 2

y=3² = 9

when x= 3

y=3³ = 27

when x= 4

y=3⁴ = 81

when x= 5

y=3 ^ 5 = 243.

Input of x when it is equal to (1,2,3,4,5) gave an output of 3, 9, 27,81 & 243 respectively.

6 0
3 years ago
$800 and paid 14% tax what was final bill
evablogger [386]

Answer:

$912

Step-by-step explanation:

First, find the tax.

Multiply the tax rate by the price.

tax rate * price

The tax rate is 14% and the price is $800.

14% * 800

Convert 14% to a decimal. Divide 14 by 100 or move the decimal places 2 spaces to the left.

14/100=0.14

14.0–> 1.4 —> 0.14

0.14 * 800

Multiply

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The tax is $112.

Now find the total bill.

Add the tax and the price.

tax + price

The tax is $112 and the price is $800.

$112 + $800

Add

$912

The final bill is $912.

4 0
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Ilya [14]

Answer:

$360.00

(I hope this was helpful)

5 0
2 years ago
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