Answer:
m=
Step-by-step explanation:
Slope of a line is the co efficient of x in the given line.
Answer:
11
Step-by-step explanation:
Let the no. of helmet be x
cost of 1 helmet = $12.00
cost of x helmet = $12.00*x = $12x
Let the no. of tire pumps be y
cost of 1 tire pumps = $8.00
cost of x tire pumps = $8.00*y = $8y
Given that total no. of helmet and pump is 18
thus
x + y = 18
y = 18-x
also given
total money spent is $188
thus
12x+8y = 188
using y = 18 - x
we have
12x + 8(18-x) = 188
=> 12x+ 144 - 8x = 188
=> 4x = 188-144 = 44
=> x = 44/4 = 11
Thus, no of helmet bought by Margo is 11.
<span>V = 1/3(3.14)r^2h
=1.046r^2h
Solving for V </span>
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°
I don't Clearly understand your question but I think it is 0.428571