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ExtremeBDS [4]
3 years ago
7

Which graphThe Pythagorean theorem states that the sum of the squares of the legs of a right triangle is equal to the square of

the hypotenuse by the formula a2 + b2 = c2.
If a is a rational number and b is a rational number, why could c be an irrational number? represents the solution set of the compound inequality mc011-1.jpg?
Mathematics
1 answer:
lapo4ka [179]3 years ago
8 0
Because even though 'a' and 'b' are rational, and their squares are
also rational, that doesn't guarantee that the sum of their squares
has a rational square root.

Examples:

1 and 2
Sum of squares = 5
√5 is irrational

2 and 3
Sum of squares = 13
√13 is irrational

4 and 5
Sum of squares is 41
√41 is irrational

'c' is rational only when 'a', 'b', and 'c' form a . . . . . wait for it . . . . .
a 'Pythagorean triple'.

Examples:

3 and 4
Sum of squares is 25
√25 = 5 is rational                yay

5 and 12
Sum of squares is 169
√169 = 13 is rational            yay
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The perimeter of square is 76 cm find are of square ​
Varvara68 [4.7K]

Answer:

Given the information above, the area of the square is 361 cm²

Step-by-step explanation:

A square is a shape with four equal sides. So, in order to find the area of the square, we must find the length of each individual side. We can do this by dividing the perimeter by 4 because a square has 4 equal sides meaning they have the same lengths.

The perimeter of the square is 76. So, let's divide 76 by 4.

76 ÷ 4 = 19

So, the lengths of each sides in the square is 19cm.

In order to find the area, we must multiply the length and the width together. Since a square has equal sides, then we will multiply 19 by 19 to get the area.

19 × 19 = 361

So, the area of the square is 361 cm²

3 0
3 years ago
Read 2 more answers
Rewrite the equation to isolate the variable.. df= g- 10 for d
ehidna [41]
Df = g - 10

To solve for d, divide both sides by f.

df / f = (g - 10) / f

d = (g - 10) / f

I hope this explains it.
6 0
3 years ago
Please help with part b
timofeeve [1]

Answer:

161391

Step-by-step explanation:

138000 x 16.95/100 = 23391

138000 + 23391 = 161391

5 0
3 years ago
A chemist has a 40% alcohol solution and a 25% alcohol solution. How much of each should he mix together to get 50 liters of a 3
ludmilkaskok [199]

Answer:

33 1/3 L of the 40% solution, 16 2/3 L of the 25% solution

Step-by-step explanation:

Set up two equations...

Let x represent the number of Liters of the 40% solution

Let y represent the number of Liters of the 25% solution

We need 50 liters total, so

x + y = 50

and we need the 50 L to be 35% solution, so

0.4x = 0.25y =  0.35(50)  

Solve the first equation for one variable...

x = 50 - y             (subtract y from both sides in equation 1)

Now substitute that value into the second equation...

0.4(50 - y) + 0.25y = 17.5      (x becomes 50 - y, 0.35(50) = 17.5)

Now solve for y...

20 - 0.4y + 0.25y = 17.5

  -0.15y = -2.5

      y = 16.66666667

        y = 16 2/3 L

So we need to plug that into the first equation to find 'x'

x + 16 2/3 = 50

x = 50 - 16 2/3

x = 33 1/3

3 0
3 years ago
Read 2 more answers
ginger takes 10 nickels to buy some pencils at the school store. How many cents dies Ginger have to spend
padilas [110]
She had to spend 50 cents... since nickels value at 5 cents, 10 5 cent coins value at 50 cents

Hope this helps
8 0
3 years ago
Read 2 more answers
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