Ask question

Ask question

All categories

professor190 [17]

3 years ago

14

A new patio will be an irregular hexagon. The patio will have two long parallel sides and an area of 360 square feet. The area o

f a geometrically similar patio is 250 square feet, and it’s long parallel sides are 12.5 feet apart. What is the corresponding distance on the new patio

1 answer:

nevsk [136]3 years ago

7 0

The length of the new patio will be evaluated as follows:
The area scale factor=(area of new patio)/(area of original patio)
=360/250
=36/25
but
Linear scale factor=√(area scale factor)
Linear scale factor=√(36/25)=6/5
thus the length of the patio will be:
length=(linear scale factor)*(length of the original patio)
=6/5×12.5=15 ft

You might be interested in

What quantity of 75 per cent acid solution must be mixed with a 30 per cent solution to produce 1080 mL of a 50 per cent solutio

Jlenok [28]

Answer: 480 mL, 600 mL

Step-by-step explanation:

Given

The concentration of the first acid is 75%

The concentration of the second acid is 30%

The final mixture has a concentration of 50%

The final volume is 1080 mL

Suppose x and y be the volume of the first and second acid

$\therefore x+y=1080\quad \ldots(i)\\0.75x+0.3y=0.5\times 1080\quad \ldots(ii)$

Solving the above equations we get

$x=480,y=600$

So, the quantity of the first acid is 480 mL and 600 mL for the second mixture.

6 0

3 years ago

what are the solution(s) to the quadratic equation 9x^2 = 4? a. x = 4/9 and x = -4/9 b. x = 2/3and x = -2/3 c. x = 3/2 and x = -

wolverine [178]

$9x^2 = 4 \\ x^2 = \frac{4}{9} \\ x= \pm \sqrt{ \frac{4}{9} } \\ x= \pm \frac{2}{3}$
solution is <span>x = 2/3 and x = -2/3</span>

3 0

3 years ago

ycow [4]

11 5/8 in = 11.625 in

9 3/4in = 9.75 in

10 1/2 in= 10.5 in

11.625+9.75+10.5= 31.875in

To find the average divide the total of inches by the amount of pieces there are to find the average:

31.875 / 3 = 10.625in

6 0

4 years ago

A tutor works with a group of students. The tutor charges $40 plus $30 for each student in the group. Today the tutor has s stud

IgorLugansk [536]

40 + 30s = 220

30 for each student (s) and the one charge of 40 would get the tutor 220 dollars.

7 0

4 years ago

Read 2 more answers

Complete the work to find the dimensions of the rectangle. x(x – 3) = 10 x2 – 3x = 10 x2 – 3x – 10 = 10 – 10 (x + 2)(x – 5) = 0

Norma-Jean [14]

Answer:

$Length =5$

$Width = 2$

Step-by-step explanation:

Given

$Length =x$

$Width = x -3$

$Area = 10$

$x(x-3) =10$

See comment for missing part of the question

Required

Complete the expression to determine the dimension of a rectangle

We have:

$x(x-3) =10$

Open bracket

$x^2 -3x = 10$

Equate to 0

$x^2 -3x - 10 =0$

Expand

$x^2 + 2x - 5x - 10 = 0$

Factorize

$x(x + 2) - 5(x + 2) = 0$

Factor out x + 2

$(x - 5)(x + 2) = 0$

Solve for x

$x - 5 = 0$ or $x + 2 = 0$

$x = 5$ or $x = -2$

The value of x cannot be negative

So:

$x = 5$

Recall that:

$Length = x$

$Width = x - 3$

So:

$Length =5$

$Width = 2$ ---- i.e. 5 - 3

6 0

3 years ago