the area of a rectangle is 44ft(squared) and the length of the rectangle is 3ft less than double the width. find the dimension of the rectangle

Answers

Answer 1

Answer: look at factors of 44...

1 and 44
2 and 22
4 and 11

Using those, we can see that 4 by 11 works, because 4x2 equals 8, which is 3 less than eleven. Stick to the basics, they are your best weapons.

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Y=x-3 and 2x-4y=8 can you help me please

Answers

$\left\{\begin{array}{ccc}y=x-3\n2x-4y=8\end{array}\right\n\nsubtitute\ y=x-3\ to\ the\ second\ equation:\n\n2x-4(x-3)=8\n2x-4(x)-4(-3)=8\n2x-4x+12=8\n-2x+12=8\ \ \ \ |subtract\ 12\ from\ both\ sides\n-2x=-4\ \ \ \ |divide\ both\ sides\ by\ (-2)\n\boxed{x=2}\n\nput\ value\ of \x-2\ to\ the\ equation\ y=x-3:\ny=2-3=-1\n\nAnswer:\boxed{x=2\ and\ y=-1}$

$y=x-3\n2x-4y=8\n\n2x-4(x-3)=8\n2x-4x+12=8\n-2x=-4\nx=2\n\ny=2-3\ny=-1$

A worker can do a job in 5 hours, and his student can do the same job in 8 hours. What part of the work is left to finish after two hours of their working together?

Answers

Answer:

7/20

Step-by-step explanation:

Answer: 13/20

Think: How much can each of them do In 1 Hour (1/5 and 1/8) Then add those two together. Then multiply the sum by two. Finally Simplify the answer of 26/40 into 13/20

find the area of a regular hexagon with an apothem 10.4 yards long and a side 12 yards long. round your answer to the nearest tenth. show all your work

Answers

The answer is 374.4 yards.

There are 2 ways to calculate the area of a a regular hexagon.
It is given:
apothem: b = 10.4 yards
side: a = 12 yards

1. The direct way is to use the formula for the regular hexagon without using an apothem:
$A= (3 √(3) )/(2) a^(2)$
where
A - the area of the hexagon
a - the side of the hexagon

Therefore:
$A= (3 √(3) )/(2) 12^(2)$
$A= (3 √(3) )/(2) 144$
$A= 374.4$

2. The indirect way is to sketch the hexagon with 3 diagonals and create 6 triangles. Then, it is necessary to calculate the area of one triangle and multiply it by 6. In this triangle, apothem is actually the height.
The area of the hexagon is:
A = 6 · A₁
where:
A - the area of the hexagon,
A₁ - the area of the triangle

$A_(1)= (a*h)/(2)$

where
h - height of the triangle.

Since apothem (b) of the hexagon is the height (h) of the triangle, then:
$A_(1)= (a*h)/(2)$
$A_(1)= (12*10.4)/(2)$
$A_(1)= 62.4$

Thus, the area of one triangle is 62.4 yards.

To calculate the area of the hexagon, we will multiply it by 6:
A = 6 · A₁
A = 6 · 62.4
A = 374.4 yards

In both cases, the result is 374.4 yards.The answer is

What is 5(-x) equal to?