The sides of the right-angle triangle will be 16 units and 20.30 units. And the missing angle will be 52°.
<h3>What is a right-angle triangle?</h3>
It's a form of a triangle with one 90-degree angle that follows Pythagoras' theorem and can be solved using the trigonometry function.
The side AC will be
tan 38° = 12.5 / AC
AC = 15.999
AC ≈ 16 units
Then the side AB will be
AB² = 12.5² + 16²
AB = 20.30 units
We know that the angle sum is 180 degrees. Then we have
∠A + ∠B + ∠C = 180°
38° + ∠B + 90° = 180°
∠B = 52°
More about the right-angle triangle link is given below.
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Answer:
Answer is h(0)=1
Step-by-step explanation:
All you have to do is substitute x with 0 in the original equation.
Answer:
25%
Step-by-step explanation:
28-21=7
7/28=×/100
7×100=700
700÷28=25
Tan(θ) = 3 tan(θ), 0° ≤ θ ≤ 360°
Solve for θ to the nearest degree.
tan(θ) = 3 tan(θ)
Subtract tan(θ) from both sides:
0 = 2 tan(θ)
Divide by 2 both sides:
tan(θ) = 0
If (x,y) is a point on the terminal ray of θ,
then tan(θ) = y/x = 0, and y = 0.
y = 0 ==> θ = 0°, 180°, or 360° in the interval 0° ≤ θ ≤ 360°.
Answer:
x(0)=20,y(0)=5
Step-by-step explanation:
We are given that
Tank A contains water=80 gallons
x(0)=20,y(0)=5
Tank B contains water=30 gallons
Rate=4 gallon/min
Concentration of salt is pumped into tank=0.5 pound /gallon of water
Solution pumped from tank A to tank B at the rate=6 gallons/min
Solution pumped from tank B to tank A at the rate=2gallon/min
Solution from tank B is pumped out of the system at the rate=4 gallon/min
We have to find the DE at time t
For x
Rate in=
Rate in=
Rate out=
Rate out=3x/40[/tex]
Rate in-Rate out
For y
Rate in=
Rate in=3/40x
Rate out=
Rate out=y/5
Rate in-Rate out
