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3 years ago

The length of a rectangular field is 6 feet less than 5 times its width.

Mathematics

1 answer:

nordsb [41]3 years ago

7 0

Answer:

5X-6)+(5X-6)+X+X=252 , now lets add all the X together, and then add the whole numbers.

12X-12=252 , now lets work this by adding 12 on each side of the equation:

12X-12+12=252+12

12X=264 , divide both sides by 12.

X=22

Now lets prove X =22:

(5·22–6)+(5·22–6)+22+22=252

(110–6)+(110–6)+22+22=252

104+104+44=252

208+44=252

252=252Therefore the length is 104 feet each and the width is 22 feet each.

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Midpoint Formula:

Sedaia [141]

The coordinates of the midpoint of the segment joining the two points (0, 2) and (6, 4) is (3, 3)

<h3><u>Solution:</u></h3>

Given that two points are (0, 2) and (6, 4)

To find: coordinates of the midpoint of the segment joining the two points

<em><u>The midpoint of line joining two points is given as:</u></em>

For a line containing two points $(x_1, y_1)$ and $(x_2, y_2)$

$\text {Midpoint}(x, y)=\left(\frac{x_{1}+x_{2}}{2}, \frac{y_{1}+y_{2}}{2}\right)$

In the given sum, two points are (0, 2) and (6, 4)

$x_{1}=0 ; y_{1}=2 ; x_{2}=6 ; y_{2}=4$

Substituting the values in given formula,

$\begin{array}{l}{\text {Midpoint}(x, y)=\left(\frac{0+6}{2}, \frac{2+4}{2}\right)} \\\\ {\text {Midpoint }(x, y)=\left(\frac{6}{2}, \frac{6}{2}\right)=(3,3)}\end{array}$

Thus the required midpoint is (3, 3)

8 0

3 years ago

Convert four hundred over a thousand as a decimal.

inna [77]

Answer:

Step-by-step explanation:

8 0

3 years ago

The area of a square for on a scale drawing of 100 square centimeters and the scale drawing to 1 cm: 2 feet what is the area of

lilavasa [31]

Answer:

1. $\boxed{\text{400 ft}^{2}}$ ; 2. $\boxed{\frac{1}{3716}}$

Step-by-step explanation:

Step 1. Calculate the area of the floor

If the area A₁ of a square floor on the scale drawing is 100 cm², the length of a side is 10 cm.

The side length l of the actual floor is

l = 10 cm × (2 ft/1 cm) = 20 ft

The area A₂ of the floor is

A = l² = (20 ft)² = $\boxed{\text{400 ft}^{2}}\\$

Step 2. Calculate the area ratios

We must express both areas in the same units.

Let's express the area of the room in square centimetres.

l = 20 ft × (12 in/1 ft) = 240 in

l = 240 in × (2.54 cm/1 in) = 609.6 cm

A₂ = l² = (609.6 cm)² = 371 612 cm²

The area A₁ on the scale drawing is 100 cm².

The ratio of the areas is

$\frac{A_{1}}{ A_{2}} = \frac{100}{371612} = \frac{1 }{3716}\\$

The ratio of the area in the drawing to the actual area is $\boxed{\frac{1}{3716}}$

8 0

3 years ago

There are 4 points that form a rectangle. Three of the points are: (-5 -1) (-5 3) (2<3 What are the coordinates of the fourth

faltersainse [42]

Answer:

$C = (2,-1)$

Step-by-step explanation:

Given

$A = (-5,-1)$

$B = (-5,3)$

$D = (2,3)$

Required

The coordinate of the fourth point (C)

The given coordinates indicate the rectangle is vertical/horizontal because it has similar x and y values.

The coordinate of such rectangle can be represented as:

$A = (x_1,y_1)$

$B = (x_1,y_2)$

$C = (x_2,y_1)$

$D = (x_2,y_2)$

By comparing the general coordinates with the given coordinates, we have:

$x_1 = -5$ --- see A and B

$y_1 = -1$ --- see A and C

$x_2 = 2$ ---- see C and D

$y_2 = 3$ --- see B and D

So, we have:

$C = (x_2,y_1)$

$C = (2,-1)$

7 0

3 years ago

I'm confused how do I simplify that??

zimovet [89]

The answer is simply 2x over 5(fraction) +1 so it the first choice

6 0

4 years ago

Read 2 more answers