Answer:
Tip $6
Total Amount $36
Step-by-step explanation:
20% of $30 is 6
$30 + $6 = 36
Answer:
8.5 yards
Step-by-step explanation:
The overall triangle, as shown by the line dividing its hypotenuse in 2, can be shown as 2 right triangles whose lengths and widths are both 7.5 and 4. With this in mind we can use Pythagorean theorem or...
By plugging in 7.5 and 4 into <em>a </em>and <em>b </em>respectively, we get the equation:
Now we can square 7.5 and 4, add them together and then square root the resultant to get our final answer.
- 56.25 + 16 = x^2
- 72.25 = x^2
- √72.25 = x
- x = ±8.5
The length of a triangle cannot be negative so disregard the possible negative value for 8.5.
60 cents is closer to 50 than 75... so $6.50 is the answer.
This looks complicated
lets simplify both sides
By multiplying top and bottom by the conjugate:-
left side = (5-3i)(x + iy) (4+5i) (5-3i)(x + iy) (4+5i)
------------------------ = ------------------------
(4-5i)(4+5i) 41
right side = (2 + i + 3-4)(2+i - 3 + 4i) (by Difference of 2 squares)
= 5-3i)(-1 + 4i)
so as left side = right side
(5-3i)(x+yi)(4+5i) = 41 (5-3i)(-1+5i)
5-3i is common so:-
(x + iy)(4+5i) = 41(-1+5i)
4x +5xi + 4yi - 5y = -41 + 205i
4x - 5y + (5x + 4y)i = -41 + 205i
EQuating coefficients we are left with the system of equations
4x - 5y = -41
5x + 4y = 205
solving this gives x = 21 and y = 25
~kites have adjacent sides equal~
x = 3x-12
move 3x to the other side as a negative number
-2x = -12
divide both sides by -2
-12 divided by -2 is 6
so, x is equal to 6
but, we aren't done yet because the questions asks for the value of angle b
substitute the value we found into the equation for angle b
3(6)-12
36-12
24
so, angle b has a value of 24 degrees
