is 0.14 rational and irrational

Answer:

1

Step-by-step explanation:

To add fractions, we need to make the denominators the same. Luckily, we can simplify 2/10 to 1/5. Now that the denominators are both 5, we can add. When adding fractions, we only add the numerator, and the denominator remains the same, so we'd do 4+1/5, which equals 5/5, which simplifies to 1.

Answer:

1 or 10/10

Step-by-step explanation:

Step 1 make a common denominator

            to make a common demoniator multiply the top and bottom number by the same number

                         so multiply the 4 and 5 by 2 to get 8/10

Step 2 now that you have 8/10 add it with 2/10

Step 3 solve to get 10/10 and then simplify it to 1

Answer:

245.04 cm²

Step-by-step explanation:

Use the formula for the surface area of a cylinder: 2[tex]\pi[/tex]r² + 2[tex]\pi[/tex]rh

Now, we can plug in the values:

2[tex]\pi[/tex](3)² + 2[tex]\pi[/tex](3)(10)

18[tex]\pi[/tex] + 60[tex]\pi[/tex] = 245.04

The total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

We have a can in the shape of a cylinder has a diameter of 6 centimeters and a height of 10 centimeters.

We have to determine total surface area of the can in square centimeters.

The total surface area of a cylinder with radius 'r' and height 'h' is given by -

A = 2πr(h + r)

According to the question, we have -

diameter of can = 6 cm

Then, the radius will be (r) = 6/2 = 3 cm

Height of can (h) = 10 cm

Substituting the values, we get -

A = 2 x 3.14 x 3 (10 + 3)

A = 2 x 3.14 x 3 x 13

A = 6 x 13 x 3.14

A = 78 x 3.14

A = 244.92 square centimeters.

Hence, the total surface area of the can is 244.92 square centimeters which is closest to 245.04 square centimeters.

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Answer:

Option (3)

Step-by-step explanation:

To prove ΔULV ≅ ΔKLY,

                 Statements                    Reasons

1). VL ≅ LY                                1). Radii of a circle are equal

2). UL ≅ KL                              2). Radii of a circle are equal

3). ∠ULV ≅ ∠KLY                    3). Vertical angles are equal

4). ΔULV ≅ ΔKLY                    4). SAS property of congruence

Therefore, property (3) given in the options will be used to prove the triangles congruent.

Answer:

The answer is below

Step-by-step explanation:

Given that, there are only two available choices, which are a black or white duck, this can be represented using a coin: H→White duck, T→Black Duck

Hence, to represent a set of possible outcomes, the coin has to be tossed three times.

Thus, we assume that, at the minimum we have total number of Ducks = 3 Black + 3 White = 6 Ducks

Total Favorable Outcome = 2 White + 1 Black

Total Possible Outcome = Selecting 3 Ducks (2 White +1 Black) from 6 Ducks

Formula to Calculate Probability

     =  Total favourable outcome ÷ Total possible outcome

Use ,C(n,r)= n! / (n - r)! r!

Therefore, the Probability of two white ducks one black duck swimming together

              = ³C² * ³C¹ ÷ 6C3 = 9/20

To use Simulation Coin Flip, we have the following:

H→White duck, T→Black Duck

HHH→Three White Ducks Swimming together

TTT→Three black ducks Swimming together

HHT→Two white duck and a Black Duck swimming together

HTH→Two white duck and a Black Duck swimming together

THH→Two white duck and a Black Duck swimming together

TTH→Two Black duck and a White Duck swimming together

THT→Two Black duck and a White Duck swimming together

HTT→Two Black duck and a White Duck swimming together

Finally, to find the probability, divide the observed desired outcomes by the total number of trials.

Answer:

There are only two choices, a black or white duck, so a coin is the best choice. To represent a set of possible outcomes, toss the coin three times. Repeat the experiment multiple times. To find the probability, divide the observed desired outcomes by the total number of trials.

Step-by-step explanation:

edg2020

Answer:

The answer is 1/3.

Step-by-step explanation:

This is because when dividing you switch the sign to multiplication and flip the second fraction so that the denominator is the numerator and the numerator is the denominator. You would then just multiply as normal to get 1/3.

Answer:

4+8=12 so,if its 12 so

Step-by-step explanation:

the some will be 12

12-8=4

12-4=8

Answer:

The matched pairs are:

(A, 4), (B, 1), (C, 2) and (D, 3)

Step-by-step explanation:

The complete question is:

Match each description of an algebraic expression with the symbolic form of that expression :

A. 2 terms; variables = x and y

B. 3 terms; variables = x and y; constant = 3

C. 2 terms; variable = x; constant = 4.5

D. 3 terms; variables = x and y; constant = 2

1. x - 2y + 3

2. 4.5 - 2x

3. 4.5x + 2 - 3y

4. 4.5y - 2x

Solution:

A. 2 terms; variables = x and y  ⇒ 4. 4.5y - 2x

B. 3 terms; variables = x and y; constant = 3  ⇒ 1. x - 2y + 3

C. 2 terms; variable = x; constant = 4.5  ⇒ 2. 4.5 - 2x

D. 3 terms; variables = x and y; constant = 2 ⇒ 3. 4.5x + 2 - 3y

Answer:  The total number of vehicles in the bar graph does not add up to 30.

The spacing between the bars should be equal.  

It would be helpful to put the number of each type at the top of its bar.

It may be useful to give the location and time/date of the observation in the title of the graph.

Step-by-step explanation:  The total 12 + 8 + 6 = 26.

My other observations would depend on the purpose of the graph. Many people use color to make the graph more visually appealing.

Answer:

Length of MN = 48 units

Step-by-step explanation:

AB is the diameter of the larger circle which is perpendicular to both the chords PQ (chord of the smaller circle) and MN(chord of the larger circle).

Theorem says,

"Radius or a diameter of a circle which is perpendicular to the chord divides the chord in two equal parts."

Therefore, MO ≅ ON

m(MO) = m(ON)

7x - 4 = 6x

7x - 6x = 4

x = 4

m(MN) = m(MO) + m(ON)

           = (7x - 4) + (6x)

           = 13x - 4

           = (13 × 4) - 4

           = 52 - 4

           = 48

Length of chord MN will be 48 units.

Answer:   e

Step-by-step explanation: 12/16          6/8    3/4

Answer:

B and E.

Step-by-step Explanation:

B: 6/8

    6*2=12

    8*2=16

    12/16

E: 3/4

    3*4=12

    4*4=16

    12/16

Hope this helps!!!!!

Answer:

Length of each side of the square = 8 cm

Step-by-step explanation:

In the figure attached, diagrams of a right triangle and a square have been given.

"Area of the square is twice the area of the triangle."

Let one side of the square = x cm

Therefore, area of the square = x²

Area of the given triangle = [tex]\frac{1}{2}(\text{Base})(\text{Height})[/tex]

                                           = [tex]\frac{1}{2}(16)(4)[/tex]

                                           = 32 cm²

Therefore, x² = 2 × 32

x² = 64

x = 8 cm

Therefore, length of each side of the square will be 8 cm.

Answer:

A, C, E, G

Step-by-step explanation:

*The dot plot is shown in the attachment below

Answer:

2

Step-by-step explanation:

Interquartile range is the difference between the upper median (Q3) and the lower median (Q1).

First, let's write out each value given in the data. Each dot represents a data point.

We have:

2, 3, 3, 4, 4, 4, 4, 5, 5, 6, 7

=>Find the median:

Our median is the middle value. The middle value is the 6th value = 4

==>Upper median Q3) = the middle value of the set of data we have from the median to our far right.

2, 3, 3, 4, 4, |4,| 4, 5, [5], 6, 7

Our upper median = 5

==>Lower median(Q1) = the middle value of the data set we have from our median to our far left.

2, 3, [3], 4, 4, |4,| 4, 5, 5, 6, 7

Lower median = 3

==>Interquartile range = Q3 - Q1 = 5-3 = 2

Answer:

2

Step-by-step explanation:

Answer:

[tex]\boxed{\sf \ \ \ x=-9 \ \ or \ \ x=2 \ \ \ }[/tex]

Step-by-step explanation:

hello,

[tex]2x^2+7x-14=x^2+4\\<=> 2x^2+7x-14-x^2-4=0\\<=> x^2+7x-18=0\\<=>x^2-2x+9x-18=0\\<=> x(x-2)+9(x-2)=0\\<=> (x+9)(x-2)=0\\<=> x+9 = 0 \ \text{or} \ x-2=0\\<=> x = -9 \ \text{or} \ x=2[/tex]

hope this helps

Answer:

The error is in Step 2. The student distributed -3 incorrectly; it should have been 9, not -9. The correct solution is -8 - 24 + 9 + 13 = -32 + 9 + 13 = -32 + 22 = -10.

Answer:

Step-by-step explanation:

(0,5), (1,0)

(0-5)/(1-0)= -5/1= -5

y - 0 = -5(x - 1)

y = -5x + 5

Answer:

[tex]c.\hspace{3}x=12[/tex]

Step-by-step explanation:

Isosceles triangles are a type of triangles in which two of their sides have an identical length. It should be noted that the angles opposite the sides that are the same length are also the same. This means that these triangles not only have two equal sides, but also two equal angles.

You can solve this problem using different methods, I will use pythagorean theorem. First take a look at the picture I attached.  As you can see:

[tex]x=2a[/tex]

And we can find a easily using pythagorean theorem:

[tex](\sqrt{45} )^{2} =3^{2} +a^{2}[/tex]

Solving for a:

[tex]a^{2} =(\sqrt{45} )^{2} -3^{2} \\\\a^{2} =45-9\\\\[/tex]

[tex]a^{2} =36\\\\a=\sqrt{36} \\\\a=6[/tex]

Therefore:

[tex]x=2a\\\\x=2(6)\\\\x=12[/tex]

*The box plots are shown in the attachment

Answer/Step-by-step explanation:

Range is the difference between the largest value of a data set and the lowest value in that data set.

In a box plot, the highest value is located at the end of the whisker to our right, while the lowest value is located at the beginning of the whisker of the box plot at our left.

For Crackers, the range = 100-70 = 30

For Cookies, the range = 115-70 = 45

Therefore, we can conclude that the range value of the number of calories in crackers (30) is less/lower than that of cookies (45).

Answer: D. The number of calories in the packs of trail mix have a greater variation than the number of calories in the packs of crackers.

Answer:

39.936 ( not rounded )

Step-by-step explanation:

Use Pythagorean theorem

a^2 + 6.4^2 = 9^2

height = 6.24 (rounded to nearest hundredth)

1/2 * base * height = area

1/2 * 12.8 * 6.24

= 39.936 ( not rounded )

Answer: 240 seconds OR 4 minutes

Step-by-step explanation:

Length of the train = 1 km

Length of the tunnel = 1 km

Therefore, length of the train + length of the tunnel = (1 + 1) km = 2 km

= 2000 m

Speed of the train = 30 km/hr = 8.333 metres per second

Therefore, time taken by the train to cross the tunnel = 2000 m/ 8.333 m/sec.

= 240 seconds = 4 minutes

Answer:

[tex]\boxed{\sf \ \ \ x^3-2x^2-19x+20 \ \ \ }[/tex]

Step-by-step explanation:

hello,

by definition we can write

[tex](x-5)(x+4)(x-1)[/tex]

as 5,-4,1 are the zeroes

now we have to write it in the standard form, let's do it

[tex](x-5)(x+4)(x-1)=(x^2+4x-5x-20)(x-1)\\=(x^2-x-20)(x-1)=x^3-x^2-20x-x^2+x+20\\=x^3-2x^2-19x+20[/tex]

hope this helps

Answer:

There are 60 * 60 = 3600 seconds in one hour so the plane goes 15000 / 3600 = 4 and 1/6 miles per second.

Answer:

Step-by-step explanation:

[tex]1500 \: miles \: \: per \: hour[/tex]

[tex] = \frac{15000}{60 \times 60} [/tex]

[tex] = \frac{15000}{3600} [/tex]

[tex] = \frac{25}{6} [/tex]

[tex] = 4 \frac{1}{6} \: miles \: per \: second[/tex]

Hope this helps...

Good luck on your assignment...

Answer:

The ratio 1.8 : 2.4 can be rewritten as 3 : 4. We have to solve:

3 : 4 = x : 42

3 * 42 = 4x

x = 3 * 42 / 4 = 31.5

Answer: A

Step-by-step explanation:

Image is attached below.

If the sum of the digits its divisible by 9,

then the original number is divisible by 9.

Since 18 (the sum of the digits) is divisible by 9,

the number 540,171 is also divisible by 9.

Answer:

Yes, The number is divisible by 9

Step-by-step explanation:

If you divide the number by 9 you will get 60019. Also if we add the numbers we will get 18 which is also divisible by 9.

Hope this helps.

Answer:

52

Step-by-step explanation:

the total is 180

so u add 61 and 67 which gives u 128

so u subtract 180 and 128 which gives u 52

hope this helps

Answer:the answer is 52

Step-by-step explanation:

First a triangle equals 180 degrees. Knowing that Q is 67 degrees and R is 61 degrees 67 plus 61 is 128. 180 subtract 128 is 52 therefore S is 52 degrees.

Answer:

A. The side opposite the 60° angle has a length of √3/2

C.Sin(60°)=√3/2

E.The other acute angle of the triangle is 30°

Step-by-step explanation:

The diagram has been attached to the answer

A. The side opposite the 60° angle has a length of

B. The side opposite the 60° angle has a length of .

C. sin(60°) =

D. sin(60°) =

E. The other acute angle of the triangle is 30°.

Answer

The side opposite the 60° angle has a length of the square root of 3/2

Opposite side of the 60° angle has a length of √3/2

sin(60°) = the square root of 3/2

Sin(60°)=√3/2

The other acute angle of the triangle is 30°

Proof:

Total angle in a triangle=180°

180°-60°-90°

=30°

Answer:

A, D, E

Step-by-step explanation:

I do is big smart

Answer:

you need 36cups of flour

Step-by-step explanation:

3 cups of flour = 8 ounces of water

x cups of flour = 96 ounces of water

96*3 =8x

288 =8x

288/8=36

x=36

Answer:

P(A|B) = 8/15

Step-by-step explanation:

Mathematically;

P(A|B) = P(A ∩ B)/P(B)

Thus we have

P(A|B) = 1/5 divided by 3/8

= 1/5 * 8/3 = 8/15