Answer:
Step-by-step explanation:
A 45 degree angle in a right triangle produces 2 equal sides. In this case z and the perpendicular line are equal. So that's were we'll start. Then you move on to the 60 degree angle to get x and y.
Finding z
z^2 + z^2 = (24√2) Combine the left
2z^2 = 24^2 * 2 Divide both sides by 2
2z^2/2 = 24^2/2
z^2 = 24^2 Take the square root of both sides
√z^2 = √24^2
z = 24
Finding x and y
The perpendicular = 24. Because it is a 60 degree angle that's given, we can do this without a calculator.
Tan 60 = opposite over adjacent
sqrt(3) = Perpendicular / z Multiply both sides by z
z*sqrt(3) = perpendicular
The above calculation tells us the perpendicular is 24
z*sqrt(3) = 24 Divide by sqrt 3
z = 24/√3
z = 24/1.73
z = 8√3
Finding x
Use Pythagoras to determine x
Perpendicular^2 + (8√3)^2 = x^2
24^2 + 8^2*3 = x^2
576 + 192 = x^2
768 = x^2
√x^2 = √768
x = 27.71
Its a prime number the factor of it are 1,2,4,19,38,76,152.
Answer:
$36.25
Step-by-step explanation:
To enter the park, Amanda pays 25 dollars.
+$25
It costs 1.25 for every ride that Amanda goes on.
Since we don't know the number of rides Amanda goes on, we will add a variable to represent the number of rides.
1.25x
Then, the passage says that Amanda goes on 9 rides. So, substitute 9 for x.
Equation: 25+1.25(9)
Then solve:
$36.25
-3x + 5y = -9
4x + 8y = 12
Simplify the second,
x + 2y = 3
Times three,
3x + 6y = 9
Add to the first equation,
11y = 0
y = 0
-3x + 5(0) = -9
x = 3
Answer: x=3, y=0
Equalizw the denominators so that the nominators will be equal in this wat sonyou can find the value of x if you want i can solve it
