is -√3 rational or irrational?

Answer:

157 cm³

Step-by-step explanation:

Given

Radius (r) = 5 cm

height (h) = 6 cm

Volume of the cone (V) = ?

We have the formula

V = 1/3 *π*r²*h

V = 1/ 3 * 3.14 * 5² * 6

V = 157 cm³

Hope it will help :)

Answer:

69.3 years

Step-by-step explanation:

use the equation 2=e^0.01t, then solve for t.

The required time at which the population of the town gets doubled is  69.3 years.

Given that,
The population of a town is growing uninhibited at a rate of 1% per year. how long would it take the population to double is to be determined.

The function which is in format f(x) =aˣ where a is constant and x is variable,  the domain of this exponential function lies   (-∞, ∞).

Here,
For exponential growth,
the equation is given as,
a = A (1 + 0.01)ˣ
For a = 2A, time x is to be determined,
2A = A (1.01)ˣ
1.01ˣ = 2
x = log2/log1.01
x = 69.3 years

Thus, the required time at which the population of the town gets doubled is  69.3 years.

Learn more about exponential function here:

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Answer:

r = 8

Step-by-step explanation:

Given that M is directly proportional to r² then the equation relating them is

M = kr² ← k is the constant of proportionality

To find k use the condition when r = 2 , M = 14

k = [tex]\frac{m}{r^{2} }[/tex] =[tex]\frac{14}{4}[/tex]  = [tex]\frac{7}{2}[/tex]

M = r² ← equation of proportion

When M = 224, then

224 =[tex]\frac{7}{2}[/tex]r² ← multiply both sides by 2

7r² = 448 ( divide both sides by 7 )

r² = 64 ( take the square root of both sides )

r = [tex]\sqrt{64}[/tex] = 8

have wonderful day

Answer:

Y=x-5

2x+y=4

Step-by-step explanation:

Answer:

Plot these points:

For the line y = x - 5:

(0, -5)

(1, -4)

For the line 2x + y = 4:

(0, 4)

(1, 2)

Answer:

the comedy films, action and horror is 14, 49 and 7 respectively

Step-by-step explanation:

The computation of each one dvds is as follows;

Total dvds is 70

Now the ratio of comedy films to action to horror is 2:7:1

So the total of 10

Now the each one dvds is

For comedy flms

= 70 × 2 ÷ 10

= 14

For actions

= 70 × 7 ÷ 10

= 49

For horror

= 70 × 1 ÷ 10

= 7

Hence the comedy films, action and horror is 14, 49 and 7 respectively

Answer:

lemmeee see i donr know hehehehe

Answer:

Step-by-step explanation:

1) a) 15x =  12x + 15          {Alternate interior angles}

b) 15x - 12x = 15             {Subtract 12x from both sides}

       3x  = 15

        x = 15/3

x = 5

c) Alternate interior angles

2) a) 3x + 10 + 3x - 28 = 180  {co- interior angles are supplementary}

b) 6x  - 18 = 180      { Combine like terms}

        6x   = 180 + 18

         6x  = 198

          x = 198/6

         x = 33

c) co- interior angles are supplementary

3) a) 7x + 9 + 5x +3 = 180

  b) 12x + 12 = 180

      12x    = 180 - 12

          12x = 168

             x = 168/12

           x = 14

c) linear pair

4) a) 12x - 18 = 8x + 10

b) 12x - 8x - 18 = 10

           4x - 18  = 10

                   4x = 10 +18

                   4x = 28

                     x = 28/4

x = 7

c) Vertically opposite angles are equal.

Answer:

8

Step-by-step explanation:

;p

Answer:

50 please mark brainliest

Step-by-step explanation:

FH is half of CG

Answer:

(x , y) = (2 , 1)

Step-by-step explanation:

// Solve equation [1] for the variable x

[1] x = -4y + 6

// Plug this in for variable x in equation [2]

[2] -(-4y+6) - 2y = -4

[2] 2y = 2

// Solve equation [2] for the variable y

[2] 2y = 2

[2] y = 1

// By now we know this much :

x = -4y+6

y = 1

// Use the y value to solve for x

x = -4(1)+6 = 2

Answer:

woah ill look at it and come back when i find the answer

Step-by-step explanation:

Answer:

G

Step-by-step explanation:

Your welcome my guy B)

Answer:

G

Step-by-step explanation:

8/10 = 0.8

0.8 to a fraction is 4/5

Answer:

Step-by-step explanation:

4 percent *2475 = 99

sorry cant do the multiplcation on here

Answer:

99

Step-by-step explanation:

Answer:

you will have to pay a total of 54$

Step-by-step explanation:

50$ : 100% = x : 108% (+8% for the tax   100+8+108)

100x = 108 x 50

100x = 5400

5400 ÷ 100 = 54

Total 54 $

The total money paid to buy a coffee maker is $54.

Given that, the cost of a coffee maker=$50 and the sales tax=8%.

We need to find the total cost of a coffee maker.

A sales tax is a tax paid to a governing body for the sales of certain goods and services. Usually, laws allow the seller to collect funds for the tax from the consumer at the point of purchase.

Sales tax is an amount of money, calculated as a percentage, that is added to the cost of a product or service when purchased by a consumer at retail.

Now, the total money paid=50+8% of 508% of 50 can be calculated as 0.08×50=4

So, 50+4=$54

Therefore, the total money paid to buy a coffee maker is $54.

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Answer: 17

Step-by-step explanation: 15 squared plus 8 squared equals the square root of 289 which is equal to 17 because 17 squared is... 289

Answer:

17

Step-by-step explanation:

We do a^2+b^2=c^2,

8^2+15^2=c^2

64+225=289

Square root of 289 = 17

c=17

You should search up Pythagorean triplets, they're basically common side lengths used for right triangles and 8,15,17 is one triplet.

Let me know if you have any questions

Answer:

x = -3

Step-by-step explanation:

This is a vertical parabola with vertex at (-3,-1).

Axis of symmetry: x = -3

Answer:

The probability that both are in the same gamete is 0.25

Step-by-step explanation:

Given

[tex]P(S) = 50\%[/tex]

[tex]P(T) = 50\%[/tex]

Required

Determine the probability that both are in same gamete

The required probability means: P(S and T)

This is then calculated as:

[tex]P(S\ and\ T) = P(S) * P(T)[/tex]

Substitute values for P(S) and P(T)

[tex]P(S\ and\ T) =50\% * 50\%[/tex]

Convert to decimal

[tex]P(S\ and\ T) =0.50* 0.50[/tex]

[tex]P(S\ and\ T) =0.25[/tex]

Answer:

The price of a new computer is quantitative.

Step-by-step explanation:

A variable can be classified as qualitative or quantitative.

Qualitative:

When the possible values of the variables are labels, for example, good or bad, yes or no,...

Quantitative:

When the possible values of the variables are numbers, for example 1, 2, 1000,....

In this question:

The price of a computer is a numeric value, so it is a quantitative variable.

"The price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.

Therefore, "the price of a new computer" is a quantitative variable, because it can be measured and the values are numerical.

Learn more about quantitative and qualitative variables on:

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Answer:

[tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively

Step-by-step explanation:

From the question we are told that

Facility A =36 pieces/box

Facility B =28 pieces/box

Facility C =20 pieces/box

Let the Fruit received be F

Generally the Facility A's number of boxes is mathematically given by

[tex]36 pieces=1 box[/tex]

Total Pieces=F

Therefore

Facility A's total amount of box = F/36

Generally the Facility B's number of boxes is mathematically given by

[tex]28pieces=1box[/tex]

Therefore

Facility B's total amount of box = F/28

Generally the Facility C's number of boxes is mathematically given by

[tex]20pieces=1box[/tex]

Therefore

Facility C's total amount of box = F/20

Therefore

Each Facility will make us of [tex]\frac{F}{36}, \frac{F}{28} ,\frac{F}{20}[/tex] respectively in packing there allocated Fruit.

Answer:

x=14

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

−1/5(x−4)=−2

(−1/5)(x)+(−1/5)(−4)=−2(Distribute)

−1/5x+4/5=−2

Step 2: Subtract 4/5 from both sides.

−1/5x+4/5−4/5=−2−4/5

−1/5x=−14/5

Step 3: Multiply both sides by 5/(-1).

(5/−1)*(−1/5x)=(5/−1)*(−14/5)

Answer:

I think it's b.

Step-by-step explanation:

!(*´∇`)ﾉ

Answer:

Mean of the binomial distribution    μ = 2.38

Standard deviation of the binomial distribution   σ =   1.2533

Step-by-step explanation:

Explanation:-

Given Population proportion

                   p = 34 % = 0.34

                  q = 1- p

                     = 1 -0.34

                      = 0.66

                  q = 0.66

Mean of the binomial distribution  

              μ = n p = 2.38

Standard deviation of the binomial distribution

          σ = √n p q  =  1.2533

Answer:

5:1

Step-by-step explanation:

5 being cans of tomato soup.

1 being a drawer.

Answer:

$0.08

Step-by-step explanation:

Find the cost of the book, by finding 15% of 32.80

32.80(0.15)

= 4.92

To find how much change he got back, subtract this from 5:

5 - 4.92

= 0.08

So, he got $0.08 back in change

Answer:

actually he got 23 cents back

Step-by-step explanation:

Answer:

953,902

Step-by-step explanation:

Answer:

NO

Step-by-step explanation:

no, what about them?

Answer:a

Step-by-step explanation: f ad r are at the same angle