7/8+5/12 is 12/20 GCF of 4 and it simplifies to 3/5
Answer:
89.1° or -1.4°
Step-by-step explanation:
1. Location:
You are on the Mont-Saint-Jean escarpment, near the Belgian town of Waterloo.
The French troops are about 50 m below you and 1.2 km distant.
2. Finding the firing angle
Data:
R = 1200 m
u = 600 m/s
h = -50 m (the height of the target)
a = 9.8 m/s²
We have two conditions.
Horizontal distance
(1) 1200 = 600t cosθ
Vertical distance
(2) -50 = 600t sinθ - 4.9t²
Divide each side of (1) by 600cosθ.
Substitute (3) into (2)
Recall that
(5) sec²θ = 1/cos²θ = tan²θ + 1
Substitute (5) into (4)
Set up a quadratic equation
Solve for θ
Use the quadratic formula.
tanθ = 61.249 or -0.025
θ = arctan(61.249) = 89.1° or
θ = arctan(-0.025) = -1.4°
Associative
Any time the numbers or variables in the parenthesis change, it is associative
The pair of shoes costs $52.99, so p = 52.99.
The state sales tax is 8%, which can be changed to decimal form by dividing by 100: 8/100 = 0.08. So r = 0.08.
Now you can plug both of these values into the formula to find the total cost of the shoes (c):
c = p + r*p
c = 52.99 + (0.08)*(52.99)
c = 52.99 + 4.2392
c = 57.2292
So the total cost of the shoes is $57.23