All categories

3 years ago

The area of a rectangle is 20 meters. How long is the length if the width is 4 meters?

Mathematics

2 answers:

IgorLugansk [536]3 years ago

7 0

5 is the width
i hope this helps!

miss Akunina [59]3 years ago

4 0

Area = length * Width
20 = length * 4
l = 20/4
l = 5

In short, Your Answer would be 5 meter

Hope this helps!

You might be interested in

X/24 = 30/36 pls help i might know the answer but i want someone to confirm it

gavmur [86]

Answer:

Step-by-step explanation:

x/24 = 30/36 simplify

x/24 = 5/6 divide 24 by 6 is 4; multiply 4 by 5

x= 20

3 0

3 years ago

A box in the shape of a rectangular prism has a length of x inches, a width of 0.5x inches and a height of 2x inches. The volume

telo118 [61]

Answer:

The answer should be 44.72 inches.

Step-by-step explanation:

In order to find the height when given the volume, use the formula V=Ah

The area can be found by multiplying the length and the width. (x)(.5x) = .5x^2

Now, 1,000= .5x^2(h).

Take the volume and divide it by .5. This gives you 2,000.

Now the equation is 2,000=x^2 (h)

Take the square root of 2,000 and this gives you the answer of 44.72 inches.

6 0

3 years ago

The vertices of a triangle are P(–8, 6), Q(1, –3), and R(–6, –3). Name the vertices of

xz_007 [3.2K]

The refrection of a point or set of points across the line y = x will result in a point or set of points whose coordinates are the interchange of the x-value and the y-value of the original point or set of points.

Given that the vertices of a triangle are P(-8, 6), Q(1, -3) and R(-6, -3), the vertices of the triangle formed by the refrection Ry=x(ΔPQR) are P'(6, -8), Q'(-3, 1) and R'(-3, -6).

5 0

3 years ago

Find the roots of:

Elena-2011 [213]

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{1) \ 2x^3-7x^2+8x-3=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -3 are 1, -1, 3, +3. So:

| 2 -7 8 -3

1 | 2 -5 3

| 2 -5 3 0

1 | 2 -3

2 -3 0

So the factorization is (x-1)² (2x-3)=0. So:

$\bf{ x_1=x_2=1 \qquad x_2=\dfrac{3}{2} }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{2) \ x^3-x^2-4=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of -4 are 1, -1, 2, -2, 4, -4. So:

| 1 -1 0 -4

2 | 2 2

1 2 2 0

So the factorization is (x-2)(x²+x+2)=0 . When calculating the discriminant of the trinomial, it is concluded that it has no roots since the result is negative. So you only have one solution.

$\bf{ 1^2-4(2)(2)=1-16=-15 < 0 \quad \Longrightarrow \quad x=2 }$

$\large\displaystyle\text{$\begin{gathered}\sf \pmb{3) \ 6x^3+7x^2-9x+2=0 } \end{gathered}$}$

Synthetic division is used since the equation is of the third degree. The divisors of 2 are 1, -1, 2, -2. So:

| 6 7 9 2

-2 | -12 10 -2

6 -5 1 0

So the factorization is (x+2)(6x²-5x+1)=0 . The quadratic equation is solved by the general formula:

$\bf{ x_{2, 3}&=\dfrac{5\pm \sqrt{(5)^2-4(6)(1)}}{2(6)}=\dfrac{5\pm \sqrt{25-24}}{12}=\dfrac{5\pm 1}{12} }}$

$\large\displaystyle\text{$\begin{gathered}\sf \begin{matrix} x_1=-2&\ \ \ \ \ \ x_{2}=\dfrac{6}{12} \qquad &\ \ \ x_3=\dfrac{4}{12}\\ &\ \ \ x_2=\dfrac{1}{2} \qquad &x_3=\dfrac{1}{3} \end{matrix} \end{gathered}$}$

6 0

2 years ago

What is -5 5/8 + 3 1/2

elena-s [515]

Answer:

-2.125

Step-by-step explanation:

8 0

3 years ago