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sergiy2304 [10]
3 years ago
5

the width of a rectangle is 4 inches less than the length. The perimiter is 32 inches. Find the length and width of the rectangl

e.​

Mathematics
1 answer:
Rina8888 [55]3 years ago
5 0

In problems that involve the perimeter of a rectangle, I would draw a picture

of the rectangle and label its dimensions to help you set up your equation.

Since the width of the rectangle is 4 inches less than the length,

we can call the length of the rectangle x and the width x - 4.

Now draw a picture, I have done this below.

The rets of my work is shown below.

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Sally brought a 1 quart container of buttermilk to make pancakes. Her recipe says to use 1/2cups Of butter milk for 3 pancakes.
GrogVix [38]

Answer:

24

Step-by-step explanation:

Quart is a volume unit, equal to a quarter of a gallon. The symbol is "qt"

A quart container is equivalent to 4 cups.

a pancake need only 1/2 cup of butter milk.

We use a rule of three.

if 1/2 cup can make 3 pancakes.

How many pancakes 4 cups can make?

\frac{4*3}{\frac{1}{2} }=24

We only have to multiply the 4 cups of butter milk by the 3 pancakes and the divide it by the 1/2 cup you need to make only 3 pancakes.  

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3 years ago
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Evgesh-ka [11]
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8 0
4 years ago
Let
Maksim231197 [3]

Answer:

3.3

Step-by-step explanation:

We determine the plane formed by u_1 and u_2. The normal to the plane is given by their cross product:

u_1\times u_2

\begin{pmatrix} - 2\\ - 4\\ 1 \end{pmatrix}\times\begin{pmatrix} - 4\\ 1 \\ - 4\end{pmatrix}=\begin{pmatrix} 15 \\ - 12\\ - 18\end{pmatrix}

The equation of the plane is then given by

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The distance between a vector \begin{pmatrix} x_1 \\ y_1 \\ z_1 \end{pmatrix} and a plane Ax+By+Cz +D =0 is given by

d=\dfrac{|Ax_1+By_1+Cz_1 +D|}{\sqrt{A^2+B^2+C^2}}

Comparing,

A = 15,\ B = - 12,\ C = -18,\ D = 0,\ x_1=3,\ y_1 =-8, \ z_1 =3

Substituting,

d=\dfrac{|(15\times3)+(-12\times-8)+(-18\times3)+0|}{\sqrt{15^2+(-12)^2+(-18)^2}}

d=\dfrac{|45+96-54|}{\sqrt{225+144+324}}=\dfrac{87}{\sqrt{693}}

d =\dfrac{87}{26.32\ldots}\approx 3.3

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