Answer:
Step-by-step explanation:
3x2 - y2 = 9.........(1)
x2 + 2y2 = 38......(2)
Let x^2 = a and y^2 = b
:- the two equations becomes
3a - b = 9..........(3)
a + 2b = 38.......(4)
Multiplying (4) by 3
3a + 6b = 114........(5)
Substracting (3) from (5)
3a - 3a + 6b - (-b) = 114 - 9
6b +b = 105
7b = 105
b = 105/7
b = 15
And 3a - b = 9 putting b = 15
3a - 15 = 9
3a = 15+9
3a = 24
a = 24/3
a = 8
And
x^2 = a
x^2 = 8
x = √8
x = √(4×2)
x = 2√2
Also y^2 = b
y^2 = 15
y = √15
3/5 equals 0.6, or 60%, 60% + 20% is 80%, so this means 20% is $40. So 40 * 5 is 200. He had $200 originally.
Answer:
4.0731 cm
Step-by-step explanation:
Use pythagorean Theorem which is a^2 + b^2 = c^2 where a and b are the sides of the triangle and c is the hypotenuse, in other words the longest side.
Since x is in line with the center of the circle and is perpendicular with line that measures 15.6 cm we know that one side of the triangle is half of 15.6 or 7.8.
So then we input our known values into the formula and solve for the missing one. The formula looks like this
7.8^2 + b^2 = 8.8^2
solve for b and you get about 4.07431
your very welcome
The number of tickets that Keith has left is;
<em><u>(45 - 6x) tickets. </u></em>
We are told that Keith buys 45 tickets for rides at the amusement park.
Each ride requires 6 tickets to ride. Thus;
1 ride = 6 tickets.
Now, if she has gone on x rides, it means by proportion;
number of tickets used = 6x tickets.
Since she bought 45 tickets, then it means that, number of tickets she has left are;
(45 - 6x) tickets.
Read more at; brainly.com/question/25330376
It would be 13.03 because the .008 with round the .02 up to .03.