Is the following number rational or irrational?
Pi/5
Choose 1 answer:
Rational
B
Irrational

Answer:

$34.30

Step-by-step explanation:

Use the equation:

F=P(r)

F=final price

P=principal (starting) amount

r=rate, normally a percent and has to be converted to a decimal

**Since this problem asks us to go down, there is no 1+r. That's when it gives us the final price and asks us to find the original.

Plug in the values: F = 49(.7)

F=$34.30 (don't forget the $ sign)

Answer:

81 cubic foot

Step-by-step explanation:

It is given that the box is packed with cubes whose side is 1 foot. So the volume of one cube is 1 cubic foot.

Now from the figure, we can see that :

Number of cubes fitting the box across its length = 9 cubes

Number of cubes fitting the box across its width = 3 cubes

Number of cubes fitting the box across its height = 3 cubes

And each of these cubes measures 1 x 1 x 1 cubic foot

So the volume of the box can be found out by:

Volume = length x width x height

             = 9 x 3 x 3

             = 81 cubic foot

Therefore volume of the box is 81 cubic foot.

Answer:

2

Step-by-step explanation:

Rearrange the data set in numerical order: 1, 2, 2, 3, 5 and take the number in the middle.

Answer:

45

Step-by-step explanation:

6 to the power of 2 + 3 to the power of 2

6² + 3²

(6 × 6) + (3 × 3)

36 + 9

45

Answer:

triangular pyramid

Step-by-step explanation:

Answer:

triangular pyramid

cone

Step-by-step explanation:

Answer:

0.06938775

Step-by-step explanation:

This is the correct answer.

Add all the times together:

10 + 25 + 15 = 50 minutes total.

For the ratio divide the time for weights by total time:

25/50 which reduces to 1/2

The ratio is 1/2

Answer:

15:50 = 3:10

3:10 is the answer

Answer:

18

Step-by-step explanation:

0.2x = 12

Same as: 1/5x = 12

Multiply both sides by 5

x = 60

0.3 * 60 = 18

Answer:

I think it might be this one(-2,0)

Answer:

The answer is "[tex]\bold{(7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} }\\\\[/tex]"

Step-by-step explanation:

Given values:

[tex]\bar{x_1}=7.1\\\\\bar{x_2}=8.3\\\\s_1=1.7\\\\s_2=1.9\\\\n_1=50\\\\n_2=39[/tex]

Using formula:

[tex]\to (\bar{x_1} -\bar{x_2}) \pm t \sqrt{\frac{(s_1)^2}{n_1}+\frac{(s_1)^2}{n_2}} \\\\[/tex]

Put the values in the above formula:

[tex]\to (7.1-8.3) \pm 1.665 \sqrt{\frac{(1.7)^2}{50}+\frac{(1.9)^2}{39}} \\\\[/tex]

Answer:

so I just tried to find the mean (average) and it was: 6.3

Answer:

Step-by-step explanation:

4y - 2(5 - y + 4) = 4y - 2(9 - y)

                         = 4y + 9*(-2) - y *(-2)

                         = 4y  - 18 + 2y      {Combine like terms 4y and 2y}

                         = 6y - 18

6y - 18 = 6*y - 6*3

           = 6(y - 3)

6y- 18 =  2 *3y - 2*9

          = 2(3y -9)

2(3y - 9) and 6(y- 3 ) are equivalent to 4y - 2(5- y +4)

Others are not equivalent

Answer:

180

hope this helps :)

Answer:

.42

Step-by-step explanation:

Step-by-step explanation:

Divide 8.40 by 20, use a calculator. Make sure to put $ in your answer.

Answer:

The number of required shelves is 5

You have to find the HCF of 45, 105, and 75.

Answer:

1 1/3

Step-by-step explanation:

Answer:

12/9= 1 and 1/3

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

four times two equals eight, positive times negative equals negative, so -8

Answer:

-8

Step-by-step explanation:

4(-2)=4×(-2)=-8 I Know The Answer Is Correct I Am Sure.

Answer:

the answer is 2575 I believe

Step-by-step explanation:

(2500x3x1/100)

(2500+75)

Answer:

ummmm math?

Step-by-step explanation:

Answer:

Step-by-step explanation:

Greatest common factor of 6x and 9y is 3.

6x + 9y = 3(2x + 3y)

:::::

Greatest common factor of 3c and 11c is c.

3c + 11c = (3+11)c

Answer:b

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

because it has two parallel side and and other are just lines but being quadrilateral its sum is 360

Answer:

576.4 in²

Step-by-step explanation:

Surface area of square pyramid = Base Area + ½(perimeter of base)(slant height)

Base area = s² = 11² = 121 in.²

Perimeter of base = 4(11) = 44 in.

Slant height = 20.7 in.

Plug in the values

Surface area = 121 + ½(44)(20.7)

= 576.4 in²

Answer:

[tex]v=\dfrac{\pi}{2}\ ft/s[/tex]

Step-by-step explanation:

Given that,

A wheel with radius 1 foot makes 1 revolution in 4 seconds

We need to find the linera velocity of a point on the edge of the wheel. We know that, the linear velcity is given by :

[tex]v=r\omega[/tex]

Where

[tex]\omega[/tex] is angular velcocity,[tex]\omega=2\pi\ rad[/tex]

[tex]\omega=\dfrac{1}{4}\times 2\pi\\\\=0.5\pi\ rad/s[/tex]

So

[tex]v=1\times 0.5\pi\\\\v=\dfrac{\pi}{2}\ ft/s[/tex]

So, the linear velocity of the wheel is equal to [tex]\dfrac{\pi}{2}\ ft/s[/tex].

Answer:

pi/2

B

Step-by-step explanation:

Got it right on EG

Answer:

Step-by-step explanation:

t is the number of years since 2003.

f(t) = $18,500×0.88^t

t = 2 in 2005

f(2) = $18,500×0.88²≅ $14,300

Answer:

$14300.00

Step-by-step explanation:

100 - 12 = 88%

88% = 0.88

$18500 x 0.88² = $14326.40

To the nearest hundread:

$14326.40 = $14300.00

0.88² means to the power of 2 since it is 2 consecutive years I did to the power of 2. If it was 3 consecutive years then you do 0.88³.

Hope this helps!

Answer:34

85% of 40 = 34

Step-by-step explanation:85 percent of 40? = 34.

Answer:

34

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

9514 1404 393

Answer:

Step-by-step explanation:

These are all Law of Cosine problems. A generic expression for the length of side 'c' opposite angle C, which is defined by sides 'a' and 'b' is ...

  c² = a² +b² -2ab·cos(C)

The square root of this gives the side length:

  c = √(a² +b² -2ab·cos(C))

Rearranging the equation, we can obtain an expression for the angle C.

  C = arccos((a² +b² -c²)/(2ab))

These two formulas are used to solve the offered problems.

__

1) AC = √(13² +14² -2·13·14·cos(109°)) ≈ √483.506

  AC ≈ 22.0

__

2) BC = √(7² +10² -2·7·10·cos(123°)) ≈ √225.249

  BC ≈ 15.0

__

3) ∠B = arccos((24² +28² -14²)/(2·24·28)) = arccos(1164/1344)

  ∠B ≈ 30.0°

__

4) ∠B = arccos((6² +9² -14²)/(2·6·9)) = arccos(-79/108)

  ∠B ≈ 137.0°

Similar means angles are the same  

Congruent means angles and sides are the same.

Sail 1 and sail 2 have the same angles but the sides are not the same.

So sail 1 and sail 2 are similar.

Answer:

C, D, E

Step-by-step explanation:

I did the USATESTPREP