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kupik [55]
3 years ago
14

using the graph,find the value of the constant in the equation below.if necessary,round your answer to the nearest integer (Pict

ure Attached)

Mathematics
2 answers:
ikadub [295]3 years ago
4 0

Answer:

Constant = 80

Step-by-step explanation:

Given: The graph showing the relationship between the height and width.

We have to find the value of the constant.

Consider the given graph.

\text{height}=\frac{\text{constant}}{\text{width}}

Since, the given relationship between the height and width are inversely proportional to each other.

Inversely proportional is the relationship where when the value of one variable increases the value of other variable decreases.

Here, as the width increases the height decreases.

Thus, For given point (10,8) the value of constant is given by

8=\frac{\text{constant}}{10}

Cross multiply, we have,

Constant is 80

And this constant is same throughout for all values.

Thus, Constant = 80

Ugo [173]3 years ago
3 0
The equation is the form:
Height = Constant / Width

There are several points that can be used to determine the constant. Picking out one which is (4,20)
20 = Constant / 4
Constant = 4(20)
Constant = 80

The constant is 80.
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The length of a rectangle is 4 m less than the diagonal and the width is 5 m less than the diagonal. If the area is 82 m^2, how
nikklg [1K]

I hate rounding.

Let's call the diagonal x.  It's the hypotenuse of the right triangle whose legs are the rectangle sides.

According to the problem we have a length x-4 and a width x-5 and an area

82 = (x-4)(x-5)

82 = x^2 - 9x + 20

0 = x^2 - 9x - 62

That one doesn't seem to factor so we go to the quadratic formula

x = \frac 1 2(9 \pm \sqrt{9^2-4(62)}) = \frac 1 2(9 \pm \sqrt{329})

Only the positive value makes any sense for this problem, so we conclude

x = \frac 1 2(9 \pm \sqrt{329})

That's the exact answer.  Did I mention I hate rounding?  That's about

x = 13.6 meters

Answer: 13.6

----------

It's not clear to me this problem is consistent.  By the Pythagorean Theorem the diagonal satisfies

x^2 = (x-4)^2 + (x-5)^2

which works out to

x=9 \pm 2\sqrt{10}

That's not consistent with the first answer; this problem really has no solution.  Tell your teacher to get better material.

5 0
3 years ago
If m 2 BOC = 27 and m ZAOC = 61, what is the measure of ZAOB?
ivanzaharov [21]
The correct answer is D.
3 0
3 years ago
5. Write the conversion factor for converting meters to centimeters.
BARSIC [14]

Answer:

Third option

O 100 cm

1m

Step-by-step explanation:

100cm \div  {10}^{2}  = 1m \\ hope \: this \: helps.. \\ good \: luck

8 0
3 years ago
The perimeter of a playing field for a certain sport is 254 ft. The length is 47 ft longer than the width. Find the dimensions.
Vikentia [17]

Answer: the length is 87 feet

The width is 40 feet

Step-by-step explanation:

Let L represent the length of the playing field.

Let W represent the width of the playing field.

The playing field is rectangular. The formula for determining the perimeter of a rectangle is expressed as

Perimeter = 2(L + W)

The perimeter of a playing field for a certain sport is 254 ft. This means that

254 = 2(L + W)

L + W = 254/2

L + W = 127 - - - - - - - - - - - -1

The length is 47 ft longer than the width. This means that

L = W + 47

Substituting L = W + 47 into equation 1, it becomes

W + 47 + W = 127

2W + 47 = 127

2W = 127 - 47 = 80

W = 80/2 = 40

L = W + 47 = 40 + 47

L = 87

4 0
3 years ago
HELP WILL MARK YOU BRAINLIEST NO FAKE ANSWERS
Elis [28]

▪▪▪▪▪▪▪▪▪▪▪▪▪  {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪

The given statement can be represented as :

  • 2b³ - b

where, the number is assumed to be " b "

therefore, the correct choice is B. 2b³ - b

7 0
3 years ago
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