Answer:
b = 12
Step-by-step explanation:
Using the Pythagorean Theorem:
a² + b² = c²
You can identify that 12√12 is the hypotenuse, as it is opposite to the right angle.
So:
12² + b² = (12√2)²
144 + b² = [(12√2) (12√2)]
144 + b² = (12 × √2 × 12 × √2)
144 + b² = (144 × 2)
144 + b² = 288
b² = 144
√b² = √144
35 combinations of a starter and a main course.
1a, 1b, 1c, 1d, 1e, 1f, 1g
2a, 2b, 2c, 2d, 2e, 2f, 2g
3a, 3b, 3c, 3d, 3e, 3f, 3g
4a, 4b, 4c, 4d, 4e, 4f, 4g
5a, 5b, 5c, 5d, 5e, 5f, 5g
i hope this helps
(3x+6)(2x^2), using the distributive property, equals 2x^2*3x+2x^2*6. We multiply the 2 with the coefficients and add a power of x if multiplied by x, getting 6x^3+12x^2
The money my sister have is $34
Given as :
The two statements are as
If I give my sister 5 dollars, then we will have the same amount of money ...A
If instead she gives me 8 dollars, then I'll have twice as much money as she has. ......B
Let the money I have = $x
And The money my sister have = $y
Now, From statement A
x - 5 = y + 5
or, x - y = 5 + 5
or, x - y = 10 ........1
Again, From statement B
2 ×(y - 8) = (x + 8)
2 y - 16 = x + 8
2 y - x = 24 ........2
Now, solving Eq 1 and 2
Put the value of x from eq 1 into eq 2
2 y - (y + 10) = 24
Or, 2 y - y = 24 + 10
Or, y = 34
So, The money my sister have = y = $34
Put the value of y into eq 1
so, x - 34 = 10
I.e x = 10 + 34
∴ x = 44
So, The money I have = x = $44
Hence, The money my sister have is $34 Answer
