All categories

3 years ago

A rectangle has a perimeter of 48 cm and a width of 6 cm. Use the formula P=2ℓ+2w to find the length.

Mathematics

2 answers:

mr Goodwill [35]3 years ago

6 0

Answer:

a.ℓ=(P/2)-w, b.ℓ=18 cm

Step-by-step explanation:

Hello

I can help you with this one

Let

perimeter=2ℓ+2w

perimeter=48 cm

width=6 cm

Step one

a. Write the formula in terms of ℓ, it means that ℓ must be isolated

P=2ℓ+2w

subtract 2w in both sides

P-2w=2ℓ+2w-2w

P-2w=2ℓ

divide both sides by 2

(P-2w)/2=2ℓ/2

(P/2)-w=ℓ

ℓ=(P/2)-w

Step two

b.Substitute the clues you are given into the rearranged formula.

replace the values

ℓ=(P/2)-w

ℓ=(48 cm /2)-6 cm

ℓ=24 cm - 6 cm

ℓ=18 cm

Have a good day

Vinil7 [7]3 years ago

5 0

Answer:the length is equal to 18. 2l+2w= 12+?=48. 48-12=36, 36/2=18

Step-by-step explanation:

You might be interested in

John,amy,lee all have 0.5 of a pack of marbles. How much more marbles do they need until they get a whole pack?

Natalija [7]

It depends on if you mean that they need to have a whole number or not, if not then they would not need any more because they would already have 1.5 packs. If they do need a whole number then they would need 0.5 more packs

3 0

3 years ago

−9x+3y=27 8x+8y=40

kykrilka [37]

Well first move the x's over to get 9X+27=3y and -8x+40=8y. Now just divide to isolate the y . 3x+9= y and -X+5= y.

7 0

3 years ago

A circle is described by the equation (x−1/2 )^2 +(y−3/2 )^2 =4/9 . What are the cordinates for the center of the circle and the

Orlov [11]

-1/2,-3/2 I think but not sure

7 0

3 years ago

Two sides of a triangle are two consecutive number, whose area is 17.5cm². Find the numbers

AveGali [126]

Answer:

The numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

Step-by-step explanation:

Two numbers are consecutives, when their difference is equal to 1. The area of the triangle is determined by the following formula:

$A = \frac{1}{2}\cdot n \cdot (n+1)$

$A = \frac{1}{2}\cdot (n^{2}+n)$

$A = \frac{n^{2}}{2}+\frac{n}{2}$

$n^{2}+n = 2\cdot A$

Where $n$ is the shortest length of the triangle, measured in centimeters.

And we get the following second-order polynomial:

$n^{2}+n -2\cdot A = 0$ (1)

If we know that $A = 17.5\,cm^{2}$ , then the shortest length of the triangle is:

$n_{1} = 5.437\,cm$ and $n_{2} \approx -6.437\,cm$

Since length is a positive variable, the only possible solution is:

$n\approx 5.437\,cm$

Then, the numbers associated with the triangle are 5.437 and 6.437 centimeters, respectively.

6 0

3 years ago

25 is what percent of 365

kondaur [170]

$\begin{array}{ccc}365&-&100\%\\25&-&x\%\end{array}\ \ \ |cross\ multiply\ both\ sides\\\\365\cdot x=25\cdot100\\365x=2500\ \ \ \ \ |divide\ both\ sides\ by\ 365\\\\x=\frac{2500}{365}\\\\x=\frac{2500:5}{365:5}=\frac{500}{73}=\boxed{6\frac{62}{73}\ (\%)\approx7\%}$

3 0

3 years ago

Read 2 more answers