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SashulF [63]
3 years ago
13

Which number produces a rational number when added to 0.25?

Mathematics
2 answers:
solniwko [45]3 years ago
6 0

A rational number is defined as any number which can be expressed in fractional p/q of two integers, where 'p' is the numerator and 'q' is the denominator. 'q' can never be zero. A rational number can also be expressed as a terminating decimal.

So, when 0.25 is added in 0.45 it becomes 0.65 which is rational.

So, option C is correct.

NemiM [27]3 years ago
4 0
C. Would be the best answer 
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You have a 64 foot of fencing. What are the dimensions of the rectangle of the greatest area you could enclose?
andriy [413]
In a rectangle, opposite sides are congruent.
Let one side have length x.
The opposite side also has length x.
The lengths of these two sides add to 2x.
The lengths of all 4 sides add to 64, so the lengths of the other 2 sides
add up to 64 - 2x. Each side measures 32 - x.

The rectangle has sides of length x and 32 - x.

The area of the rectangle is

A = LW

A = x(32 - x)

A = 32x - x^2

y = 32x - x^2 is a parabola that opens downward.
The maximum value of the parabola is the vertex on top.

32x - x^2 = 0

(32 - x)x = 0

32 - x = 0 or x = 0

x = 32 or x = 0

Since the parabola is symmetric with respect to the vertical axis, the vertex has x-coordinate 16.

At x = 16, you get maximum area.

Two opposite sides measure 16 ft each.
32 - x = 32 - 16 = 16
The other two opposite sides also measure 16 ft.

Since all sides turned out to have length 16 ft, the rectangle is a square.

Answer: The maximum area is enclosed by a square with side 16 ft.
3 0
3 years ago
Mr Smith struggles with calculations and decided to use a tape measure to measure the width of one arch starting from the base o
denpristay [2]

The distance between two uprights of 13,100 mm. and an assumption of a semicircular arch, gives;

2.3.2) The number of rolls required are 7 rolls

2.3.3) The total cost of the shade cloth is 7•C, where <em>C </em>is the cost per roll of the shade cloth

<h3>Which equation of a semicircle can be used to find the number of rolls? </h3>

The distance between two uprights = 13,100 mm

13,100 mm = 13.1 m

Therefore;

Distance between two uprights = 13.1 m

Taking the arch as a semicircle, we have;

Distance between the uprights = Diameter of the semicircle, <em>D</em>

Which gives;

Diameter of the arch, <em>D</em> = 13.1 m

Length of a semicircle = π•D/2

Which gives;

Length of the arch = π × 13.1/2 ≈ 20.6 m.

2.3.2. Width of one roll of shade cloth, <em>W </em>= 3 m.

Number of rolls required, <em>n</em>,<em> </em>is therefore;

n = 20.6 m. ÷ 3 m/roll ≈ 7 rolls

  • Approximately 7 rolls of shade cloth will be required

2.3.3) The total cost, <em>T</em>, of the shade cloth is given by the equation;

T = n × Cost of one roll of the shade cloth, C

Depending on the cost of one roll, the total cost will be; T = 7 × C

Which gives;

  • Total cost, <em>T</em> = 7•C

Learn more about writing equations here:

brainly.com/question/21841916

#SPJ1

7 0
1 year ago
PLS HELP ASAP ILL GIVE BRAINLKEST PLS THANKS
Oksi-84 [34.3K]

Answer:

13

Step-by-step explanation:

The equation is y=x+13.

y=0+13

y=13

7 0
2 years ago
Which is the graph <br> f(x)=1/4(4)^x
Zinaida [17]

This is what it looks like.

3 0
2 years ago
Read 2 more answers
The circumference of a circle is 351321 in.
Stolb23 [73]

Based on the calculations, the approximate diameter of this circle is equal to 11.0 in.

<u>Given the following data:</u>

  • Circumference of a circle = 35\frac{13}{21} in.
  • \pi = \frac{22}{7}

To determine the approximate diameter of this circle:

<h3>How to calculate the circumference of a circle.</h3>

Mathematically, the circumference of a circle is given by the formula:

Circumference = \pi D

<u>Where:</u>

  • D is the diameter of a circle.

Substituting the given parameters into the formula, we have;

35\frac{13}{21}=\frac{22}{7} D\\\\\frac{748}{21} =\frac{22D}{7} \\\\748\times 7=22D \times 21\\\\5236=462D\\\\D=\frac{5236}{462}

D = 11.3 ≈ 11.0 in.

Read more on circumference of a circle here: brainly.com/question/14478195

8 0
2 years ago
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