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enot [183]
3 years ago
10

the perimeter of a rectangle is 68 feet the length is 5 inches shorter than twice the width what are the dimensions of the recta

ngle
Mathematics
1 answer:
Kruka [31]3 years ago
5 0

Answer:

Step-by-step explanation:

The perimeter formula is P = 2L + 2W. If the perimeter is given as 68 feet, then our P will be filled in with 68. If the length is "5 inches shorter than twice the width" is an expression that looks like this, keeping in mind that "shorter" means subtraction, "twice" means doubled, and the word "is" means equals:

L = "length is"

2W is "twice the width"

5 inches shorter is " - 5". Putting it all together:

L = 2W - 5. Now we can fill in the perimeter formula:

68 = 2W + 2(2W - 5) and

68 = 2W + 4W - 10 and

68 = 6W - 10 and

78 = 6W so

W = 13. The width is 13 inches and the length is

L = 2(13) - 5 so the length is

L = 21 inches.

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Nataly [62]

Answer:

0.5

Step-by-step explanation:

The given ordered pairs are: (1,2) (2,2.5) (3,3) (4,3.5) (5,4)

The corresponding sequence is :

2,2.5,3,3.5, 4,....

We can see that there is a common difference of d=0.5.

Better still we could use the slope formula:

m =  \frac{y_2-y_1}{x_2-x_1}

We substitute the point (1,2) and (2,2.5).

The rate of change of this sequence is:

m =  \frac{2.5 - 2}{2 - 1}  =  \frac{0.5}{1}  = 0.5

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3 years ago
Amir stands on a balcony and throws a ball to his dog, who is at ground level. The ball's height (in meters above the ground), x
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Answer:

12m

Step-by-step explanation

If the height of the ball after x seconds be modelled by the equation

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To get the height at t x = 0seconds, we will substitute x = 0 into the modeled function to have;

h(0) = -(-0-2)²+16.

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The height of the ball at the time the ball is thrown is 12m

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3 years ago
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Please help me out if possible!
oksano4ka [1.4K]

Answer:

<h2><u>111°</u></h2>

Step-by-step explanation:

Hi,

So lets answer this question;

Here we know that:

69° + z = 180° [Straight angle or Supplementary angle]

⇒ z = 180° - 69°

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3 years ago
On a coordinate plane, parallelogram R S T U has points (negative 4, 4), (2, 6), (6, 2), and (0, 0). What is the area of paralle
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Answer:

The area of the parallelogram is;

32 square units

Step-by-step explanation:

The given parameters are;

The coordinates of the parallelogram RSTU = R(-4, 4), S(2, 6), T(6, 2), and U(0, 0)

We note that the area of a parallelogram = Base length × Height

From the drawing of the parallelogram RSTU, we have;

The base length = The length of \overline {TU} = The length of \overline {SR} = √((2 - (-4))² + (6 - 4)²) = 2·√10

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Therefore, the slope of the height = -1/(1/3) = -3

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∴ A = 2·√(10) × 8/5·√(10) = (16/5) × 10 = 32

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2 years ago
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