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love history [14]
3 years ago
7

A rectangle with area 36 square inches has a length that is 3 less than 3 times the width. Find the length and the width of the

rectangle.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
4 0

Answer:

length = 9 in ; width = 4 in

Step-by-step explanation:

1) formula of the area of a rectangle

A = base x width

2) write an equation with the given informations:

w x (3w-3) = 36

3) solve the equation

-  multiply W by 3w and -3

3w^2 -3w = 36

- divide the two members by 3

w^2 - w = 12

- add up -12 at the two members

w^2-w -12 = 12 -12

w^2 - w - 12 = 0

- find two numbers whose sum is -1 and whose product is -12 and factorise the equation

(w-4)(w+3) = 0

- find the two solutions

w-4 = 0

w = 4

w+3 = 0

w = -3

4)remember that a length can’t be negative.

w = 4 is the only solution

5) find the length

4x3 - 3 = 9

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Answer:

false . false is the answer

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Beware of these answeres never click on it it’s a hacker
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7 0
2 years ago
Two-thirds of the buses in the transit system run on natural gas, and the rest run on diesel. If 738 of the buses run on diesel,
Sergeu [11.5K]

9514 1404 393

Answer:

  2214 buses

Step-by-step explanation:

Diesel buses constitute 1/3 of the total, so the total number of buses is 3 times the number of diesel buses.

  total = 3·738 = 2214

The transit system has 2214 buses.

5 0
2 years ago
The fastest recorded speed for an eastern gray kangaroo is 40 mph. What was the
Ludmilka [50]

The kangaroo's speed in feet per second is 58.67 feet per second

<h3>What was the kangaroo's speed in feet per second?</h3>

The speed is given as:

Speed = 40 mph

Rewrite properly as

Speed = 40 miles per hour

1 mile = 5280 feet

So, we have

Speed = 40 * 5280 feet per hour

Evaluate

Speed = 211200 feet per hour

1 hour = 3600 seconds

So, we have:

Speed = 211200 feet per 3600 seconds

Evaluate the quotient

Speed = 58.67 feet per seconds

Hence, the kangaroo's speed in feet per second is 58.67 feet per seconds

Read more about speed at:

brainly.com/question/4931057

#SPJ1

3 0
1 year ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
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