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romanna [79]
3 years ago
15

The length of a rectangle is four more than three times the width. If the perimeter of this rectangle is at least 70 square cent

imeters. Write an inequality that can be solved to find the width of the rectangle.
Mathematics
1 answer:
FrozenT [24]3 years ago
7 0

Answer:

Step-by-step explanation:

Let L represent the length of the triangle.

Let W represent the width of the triangle.

The length of a rectangle is four more than three times the width. This means that

L = 3W + 4

The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

If the perimeter of this rectangle is at least 70 square centimeters, an inequality that can be solved to find the width of the rectangle is

2(L + W) ≥ 70

L + W ≥ 70/2

L + W ≥ 35

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The coordinates of three vertices of square ABCD are A(−212,112),B(−212,−3), and C(2,112).
Lady_Fox [76]

Answer:

<em>P=760</em>

Step-by-step explanation:

Three of the coordinates of the square ABCD are A(-212,112) B(-212,-3) C(2,112). The image below shows the square is not ABCD but ABDC. In fact, this is not a square, as we'll prove later.

Note the x-coordinate of A and B are the same. It means this side is parallel to the y-axis. Also, the y-coordinate of A and C are the same, meaning this side is parallel to the x-axis. The missing point D should have the same x-coordinate as C and y-coordinate as B, i.e. D=(2,-3).

This shape has sides that are parallel to both axes.

To calculate the perimeter we find the length of two sides.

The distance from A to B is the difference between their y-axis:

w=112-(-3)=115

The distance from A to C is the difference between their x-axis:

l=2-(-212)=215

It's evident this is not a square but a rectangle. The perimeter is

P=2w+2l=330+430

P=760

7 0
3 years ago
Find the volume of this cylinder.
Lina20 [59]

Answer:

The answer is 3418.1 ft rounded to the nearest tenth.

Step-by-step explanation:

The total volume of the cylinder can be defined by the Area of circular base * Perpendicular height.

The area of the circular base can be calculated as

\pi \times  {r}^{2}

where r is the radius of the circular base, which is 8 ft.

The area of the circular base is

\pi \times  {8}^{2}  = 64\pi

We also know the height of the cylinder is 17 ft.

Hence, the volume of the cylinder is

64\pi \times 17 = 1088\pi = 3418.0528...

This will be rounded up to 3418.1 with the nearest tenth

8 0
3 years ago
Find the decimal equivalent to :
gladu [14]

9514 1404 393

Answer:

  1. 0.5
  2. 0.4444444... repeating

Step-by-step explanation:

Your calculator can do this for you.

1. 2/4 = 1/2 = 5/10 = 0.5

__

2. The long division immediately becomes repetitive. The decimal equivalent is repeating 4s: 0.444...

_____

The long division is shown in the attachments. When the remainder is the same as the initial dividend, you know the quotient will repeat.

6 0
3 years ago
Please Help 100 points Answer all please
Gemiola [76]

A. Yes

B.  Because the three inside angles of both triangles would be identical.

C. Set up a ratio:

 121/22 =  AB/30

Solve for AB:

AB = (121 * 30) / 22

AB = 3630 / 22

AB = 165 ft.

3 0
3 years ago
I need step by step explanation for this!!
Naily [24]

Hello! :)

Answer:

\huge\boxed{751}

Let the smallest digit, or the units' digit, be equal to x:

Tens' digit is four more, therefore:

x + 4 represents the tens' digit.

Hundreds' digit is 2 more than the tens' digit, so:

2 + (x + 4), or x + 6 represents the hundred's digit.

These all sum up to 13, so write an expression to represent this:

x + (x + 4) + (x + 6) = 13

Combine like terms:

3x + 10 = 13

Subtract 10 from both sides:

3x = 3

Divide both sides by 3:

x = 1

Find the digits using the rules listed above:

Hundreds' digit: (1) + 6 = 7

Tenths' digit:  (1) + 4 = 5

Units' digit: 1 = 1

Therefore, the number is:

751.

4 0
3 years ago
Read 2 more answers
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