Ask question

Ask question

All categories

3 years ago

11

The length of a rectangle is 3 times the width.the permitted of the rectangle is 72ft find the dimensions of the rectangle

1 answer:

ArbitrLikvidat [17]3 years ago

4 0

Lets set up the relationship of the length to width:

l = 3w

Using this, we can make all the variables the same by substitution:

2l + 2w = perimeter
2l + 2w = 72
2(3w) + 2w = 72
6w + 2w = 72
8w = 72
w = 9

The width is 9, to the length must be 9*3, or 27.

Hope this helped!

You might be interested in

When people leave a 15% or 20% tip they often round up to the nearest multiple of 5 or 10 cents. If Kadisha always rounds up wha

GalinKa [24]

What is her bill?
To do this on your own, you round up the amount by 5¢ or 10¢, whichever is closer, and then take 20% of her bill
Remember to put 20% into the calculator as 0.2 and multiply 0.2 by her bill that has been rounded up

7 0

3 years ago

Is (-1,4) a solution of the inequality y<2x+5?

Sveta_85 [38]

Let's plug x= -1, y= 4 in the inequation, we have:
4< 2*(-1)+5
⇒ 4< -2+5
⇒ 4< 3 (false)

Therefore, (-1,4) is not a solution of the inequation y<2x+5~

6 0

2 years ago

6th grade math help me, please:)))

Lesechka [4]

Step-by-step explanation:

<em>Hi</em><em> </em><em>there</em><em>!</em><em>!</em><em>!</em><em> </em>

<em>The</em><em> </em><em>answer</em><em> </em><em>is</em><em> </em><em>option A</em><em>. </em>

<em>reason</em><em> </em><em>look</em><em> </em><em>in</em><em> </em><em>picture</em><em>.</em><em> </em>

<em>if</em><em> </em><em>you</em><em> </em><em>want</em><em> </em><em>to</em><em> </em><em>solve</em><em> </em><em>it</em><em> </em><em>just</em><em> </em><em>cross</em><em> </em><em>multiply</em><em> </em><em>it</em><em>,</em>

<em> $60x = 240000 \times 100$ </em>

<em>or</em><em>,</em>

<em> $x = 24000000 \div 60$ </em>

<em>and</em><em> </em><em>the</em><em> </em><em>answer</em><em> </em><em>would</em><em> </em><em>be</em><em> </em><em>4</em><em>0</em><em>0</em><em>0</em><em>0</em><em>0</em><em>.</em>

<em>Hope</em><em> </em><em>it helps</em><em>.</em><em>.</em><em>.</em>

5 0

3 years ago

Find the volume of the largest rectangular box in the first octant with three faces in the coordinate planes and one vertex in t

makkiz [27]

Answer:

Step-by-step explanation:

$x + 2y + 3z = 12$

$z=\frac{12-x-2y}{3}$

Volume = $V=f(x,y) = xy(\frac{12-x-2y}{3} )$

find partial derivatives using product rule

$f_x =\frac{y}{3} (12-2x-2y)\\f_y = \frac{x}{3} (12-x-4y)$

i.e.

Using maximum for partial derivatives, we equate first partial derivative to 0.

y=0 or x+y =6

x=0 or x+4y =12

Simplify to get y =2, x = 4

thus critical points are (4,2) (6,0) (0,3)

Of these D the II derivative test gives

D<0 only for (4,2)

Hence maximum volume is when x=4, y=2, z= 4/3

Max volume is = 4(2)(4/3) = 32/3

6 0

2 years ago

At a county fair 9 people out of 1000 earned a perfect score in a carnival game what decimal represent the number of people who

coldgirl [10]

0.009 people because 9/1000 is 0.009<span />

5 0

3 years ago

Read 2 more answers