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AnnyKZ [126]
3 years ago
5

perimeter of a ball court is 84 meters. length I'd 6 meters longer then twice the width. what is l and w

Mathematics
1 answer:
DENIUS [597]3 years ago
5 0
------------------------------
Define x :
------------------------------
Let x be the width.
Width = x
Length = 2x + 6 

------------------------------
Formula :
------------------------------
Perimeter = 2(L + W)

------------------------------
Find x :
------------------------------
Given Perimeter = 84 
84 = 2 (2x + 6 + x) 
84 = 2(3x + 6)
84 = 6x + 12
6x = 84 - 12
6x = 72
x = 72 ÷ 6
x = 12m

------------------------------
Find Length and Width
------------------------------
Width = x = 12m
Length = 2x + 6 = 2(12) + 6 = 30m

------------------------------------------------------------------------------------------
Answer: The width is 12m and the length is 30m.
------------------------------------------------------------------------------------------
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The lengths of the sides of a triangular garden are 10m, 11m, and 13m. find the measure of the angle opposite the longest side t
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We know that
applying the law of cosines
c²=a²+b²-2*a*b*cos C

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4 years ago
If the measure of 1 is x and the measure of <2 is x+50, what is the measure of <4?
marin [14]

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Step-by-step explanation:

First, we want to find the measure of angle 2, because the measure of angle 2 is equal to angle 4. When 2 straight lines cross each other, the angles formed are always equal to the angle right across from it.

Find angle 2 by setting up an equation:

x+x+50=180

This is basically saying that angle 1 plus angle 2 equals 180°. In a half turnaround, the angle is 180°. Angle 1 and 2 make up a half turnaround.

Solve the equation:

x+x+50=180

Combine the 2 x's to get 2x.

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Subtract 50 from both sides.

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Divide both sides by 2.

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Since x=65, plug 65 into x in the measure of angle 2 (x+50).

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Since Angle 2 is equal to angle 4, angle 4 is also 115.

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sleet_krkn [62]

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here we have rounded off to first decimal place

one point to note that we can just approximate to get the rounded off value. We have to follow several rules, like we should increase the last digit to be retained by one when the digit following it is greater than 5 and we should not

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