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Katarina [22]
3 years ago
15

Silvie states that the sum of a rational number and an irrational number is sometimes rational and sometimes irrational. Which s

tatement correctly describes whether Silvie is correct or incorrect?
A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

B) Silvie is correct; the sum of a rational number and an irrational number may be rational or irrational

C) Silvie is incorrect; the sum of a rational number and an irrational number is always rational
Mathematics
1 answer:
RideAnS [48]3 years ago
4 0

Answer:

A) Silvie is incorrect; the sum of a rational number and an irrational number is always irrational

Step-by-step explanation:

The concept of adding rational and irrational numbers states that the result will always be irrational.

Take for instance the addition of 4.5 and 3.142857

4.5 is a rational number because it can easily be expressed in fractions while 3.142857 is irrational because it can't be expressed as a simple fraction.

The addition of these two numbers gives 7.642857

7.642857 is an irrational number.

Similarly, any sum of two numbers (rational and irrational) will always result in irrational number.

Hence, Silvie is incorrect.

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Jesse is sanding a circular wooden table that has a diameter of 6 ft. She can sand 5 square feet every hour. At this rate, appro
Ilya [14]

The time it will take Jesse to finish sanding the table is approximately 22.61 hours.

<h3>How to find the area of a circle?</h3>

Suppose the circle has radius of 'r' units, then, its area is given as:

A  = \pi \times (r)^2 sq. units

Since radius of a circle is half of its diameter, so if diameter is of 'd' length, then r= d/2, thus, area can be rewritten as:

A = \pi \times (\dfrac{d}{2})^2 sq. units

For the given case, sanding being done needs to be equal to the area of the circular table, as it has to be done for whole table's surface, which is circular, and area of sanding done will be equal to the area of that circular table.

The area of table(diameter given as 6 ft) is: A = \pi \times (\dfrac{d}{2})^2 \approx 3.14 \times 6^2 = 113.04 \: \rm ft^2

Since Jesse does 5 sq. feet per hour, let she takes T hours time to finish sanding the table, then we have:

\rm T \times 5\:  ft^2 = A \approx 113.04 \: ft^2\\\\\text{Dividing all sides by 5, we get}\\\\T = \dfrac{113.04}{5} \approx 22.61 \: hours

(since 5 sq. feet in 1 hours, then in T hours, T times 5 sq. feet will be done which is equal to area of table, as in approx T hours, she finishes sanding the table)

Thus, it will take approx 22.61 hours for Jesse to finish sanding the table.

Learn more about area of circle here:

brainly.com/question/13056790

8 0
2 years ago
Read 2 more answers
The scale factor for a model is 5cm= m model: 9.5cm actual : 30.5m
MaRussiya [10]

We are given dimensions of model and actual figure.

model: 9.5cm actual : 30.5m.

We need to find the length of actual shape for the scale factor 5cm.

Let us assume actual length be x m.

Let us set a proportion now.

<h3>5 : x = 9.5 : 30.5</h3>

Let us convert proportion into fractions.

\frac{5}{x}=\frac{9.5}{30.5}

On cross multiplying, we get

9.5x = 5× 30.5

9.5x = 152.5.

On dividing both sides by 9.5, we get

\frac{9.5x}{9.5}=\frac{152.5}{9.5}

x=16.05.

<h3>Therefore, the scale factor for a model is 5cm= 16.05 m.</h3>

6 0
3 years ago
This is due today can anyone help ?
Lorico [155]

Answer:

C

Step-by-step explanation:

you need to start by plugging in -2x+4 every were it says y then solve for x when you have found x plug it into one of the equations and solve for y

7 0
3 years ago
I hate how i have to write things here
Harlamova29_29 [7]

Answer: Question 1 is m=-7/4

Question 2 is -4 as the y axis where it intercepts and the other coordinate is (3,-2)

Step-by-step explanation:

8 0
3 years ago
If the function for predicting the growth of a population is F = 4.9(1.014)t. Based on the function, which statement accurately
Blizzard [7]

Answer: B

Step-by-step explanation:

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