Answer:
Below in bold.
Step-by-step explanation:
sin θ = 4 cos θ
Note that tan θ = sin θ / cos θ so we
Divide both sides by cosθ:
tan θ = 4
θ = 75.96
= 75 degrees 58 minutes.
Solution:
<em>Simple Interest = Principal Amount × Rate of Interest/100 × Time</em>
Here, Principal Amount = $6000
Rate of Interest = 6%
Time = 4 years
Simple Interest = 6000 × 6/100 × 4 = <em>$1440</em>
Answer:
y = 47
Step-by-step explanation:
y = 2x + 3
y = 2(22) + 3
y = 47
Answer:
Th Range is [0, -∞)
Step-by-step explanation:
f(x) = 2 - x
w(x) = x - 2
We want to find the range of (f * w)(x).
First, we need to find (f * w)(x), which is the multiplication of the function f(x) and the function w(x). Lets use algebra to find (f * w)(x):

This is a quadratic function (U shaped), or a parabola. The graph is attached.
The range is the set of y-values for which the function is defined.
We see from the graph that the parabola is upside down and the highest value is y = 0 and lowest goes towards negative infinity. So the range is from 0 to negative infinity. Or,
0 < y < ∞
In interval notation, that would be:
[0, -∞)
Well, volume is: length x width x height
so, 5 x 14 x 8= 560 inches