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2 years ago

Which of the following is irrational?

Mathematics

2 answers:

garri49 [273]2 years ago

8 0

$\sqrt{2}$

A square root of any number that won't result in a whole number is irrational.

In this case, $\sqrt{2}$ is irrational.

dedylja [7]2 years ago

6 0

Answer:

$\sqrt{2}$

Step-by-step explanation:

the other 3 are perfect squares and have rational answers.

$\sqrt{1.44} =1.2\\\sqrt{1}= 1\\\sqrt{4} =2$

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Community Gym charges a $60 membership fee and a $60 monthly fee. Workout Gym charges a $200 membership fee and a $50 monthly fe

Kitty [74]

Answer:

14 months

Step-by-step explanation:

60x+60=50x+200

10x+60=200

10x=140

x=14

60(14)+60=900

50(14)+200=900

8 0

4 years ago

Which sum equalas 11 over 12

lianna [129]

Sum = ADDITION SO ... 11 + 12 = 23.

8 0

3 years ago

water level in a plastic pool changed by -8 gallons each hour after 6 hours,the pool contained 132 gallons.how much water was in

elena55 [62]

X = original amount of water
x - 8(6) = 132
x - 48 = 132
x = 132 + 48
x = 180...it originally contained 180 gallons

6 0

3 years ago

polygon ABCD is defined by the points A(-4,2), B(-2,4), C(1,3), and D(2,2). match the coordinates of the points you f the transf

Tomtit [17]

Answer:

D' ..................> (-2,2)

C'' .................> (3,-1)

A''' ................> (4,-2)

B'' .................> (4,2)

Step-by-step explanation:

Before we begin, we should remember the rotation rules:

1- Rotation 90° clockwise:

Coordinates (x,y) become (y,-x)

2- Rotation 90° counter clockwise:

Coordinates (x,y) become (-y,x)

3- Rotation 180° clockwise:

Coordinates (x,y) become (-x,-y)

4- Rotation 270° counter clockwise:

Coordinates (x,y) become (y,-x) ...........> same as rotation 90° clockwise

Now, let's consider the given problem:

1- Coordinates of D' if polygon ABCD rotates 90° counter clockwise to create A'B'C'D'

Original coordinates of point D are (2,2)

Rotation 90° counter clockwise means that the new coordinates will be (-y,x) which is (-2,2)

2- Coordinates of C'' if polygon ABCD rotates 90° clockwise to create A''B''C''D''

Original coordinates of point C are (1,3)

Rotation 90° clockwise means that the new coordinates will be (y,x) which is (3,-1)

3- Coordinates of A''' if polygon ABCD rotates 180° clockwise to create A'''B'''C'''D'''

Original coordinates of point A are (-4,2)

Rotation 180° clockwise means that the new coordinates will be (-x,-y) which is (4,-2)

4- Coordinates of B'' if polygon ABCD rotates 270° counter clockwise to create A''B''C''D''

Original coordinates of point B are (-2,4)

Rotation 270° counter clockwise means that the new coordinates will be (y,-x) which is (4,2)

Hope this helps :)

5 0

3 years ago

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. The next month, 400 u

leonid [27]

Answer: the cost per unit of gas is $0.38

Step-by-step explanation:

Let x represent the cost per unit of electricity.

Let y represent the cost per unit of gas.

During one month, a homeowner used 600 units of electricity and 100 units of gas for a total cost of $344. It means that

600x + 100y = 344- - - - - - - - - -1

The next month, 400 units of electricity and 250 units of gas were used for a total cost of $299.

It means that

400x + 250y = 299- - - - - - - - - -1

Multiplying equation 1 by 400 and equation 2 by 600, it becomes

240000x + 40000y = 137600

240000x + 150000y = 179400

Subtracting, it becomes

- 110000y = - 41800

y = - 41800/- 110000

y = 0.38

Substituting y = 0.38 into equation 1, it becomes

600x + 100 × 0.38 = 344

600x + 38 = 344

600x = 344 - 38 = 306

x = 306/600

x = 0.51

4 0

3 years ago