The right angles triangle has three sides including the hypotenuse which is opposite to the right angle.
If the hypotenuse - H
Then one side is - H - 2
Third side is 7 cm shorter then H-2
Therefore it’s H -2-7 = H -9
According to Pythagoras theorem
Square of hypotenuse = sum of the squares of the other 2 sides
H² = (H-9)² + (H-2)²
H² = H² -18H + 81 + H² -4H + 4
0 =H² -22H +85
This is a quadratic equation
0 = H² - 17H -5H +85
0 = H (H - 17) -5(H-17)
(H-17) (H-5) =0
H -17=0 or H-5=0
H could be 17 cm or 5 cm
If H =5 cm then
Side 1 -H-2 = 3 cm
And side 2 - H-9 = -4 cm
Since lengths cannot be negative values
H isn’t 5 cm
Therefore H =17 cm
1 side is H-2 = 15 cm
2nd side H -9 = 8 cm
Three sides are 17 cm, 15 cm and 8 cm
Answer:
$1323.00
Step-by-step explanation:
A simple equation that can be used to figure this out is:
p*1.5*o=t
The variables mean:
p- hourly pay
o- hours worked overtime
t- total amount of money earned.
(Also, the 1.5 is always used to calculate overtime, no matter what job, unless otherwise specified, and as referred in the problem as "time and a half").
So, to finally work out this problem:
($14*1.5)*63=?
first, (14*1.5)= $21
($21*63)= $1323.
Okay so i’m not 100% but i think it’s 37 is the first number then it’s 37/9 x 9/2 which is 18.5 or 18 1/2
but you find it by first doing 4x9 and adding the 1 and then you do keep change flip when dividing fractions and solve it out so i think that’s how you do it :)
Answer:the number of student tickets that were sold is 85
the number of adult tickets that were sold is 65
Step-by-step explanation:
Let x represent the number of student tickets that were sold.
Let represent the number of adult tickets that were sold.
MCHS sold 150 tickets at the last basketball game. This means that
x + y = 150
Student tickets cost $3 and adult tickets cost $5. If they sold $580 worth of tickets, it means that
3x + 5y = 580 - - - - - - - - - - -1
Substituting x = 150 - y into equation 1, it becomes
3(150 - y) + 5y = 580
450 - 3y + 5y = 580
- 3y + 5y = 580 - 450
2y = 130
y = 130/2 = 65
Substituting y = 65 into x = 150 - y, it becomes
x = 150 - 65 = 85
