Answer:
Step-by-step explanation:
20) the angle at the base of the right angle triangle is alternate to the given angle. Since alternate angles are equal, it means that the base angle of the right angle triangle is 27 degrees.
To determine x, we would apply
the Sine trigonometric ratio.
Sin θ, = opposite side/hypotenuse. Therefore,
Sin 27 = x/580
x = 580Sin27
x = 580 × 0.454
x = 263.3 to the nearest tenth.
21) the angle at the base of the right angle triangle is alternate to the given angle. Since alternate angles are equal, it means that the base angle of the right angle triangle is 18 degrees.
To determine x, we would apply
the Tangent trigonometric ratio.
Tan θ, = opposite side/adjacent side. Therefore,
Tan 18 = x/2
x = 2tan18
x = 2 × 0.3249
x = 0.6 to the nearest tenth.
Answer:
The domain of g(x) is the same as the domain of the parent function.
The range is the same as the range of the parent function.
The function g(x) increases over the same x-values as the parent function.
The function g(x) decreases over the same x-values as the parent function.
Answer:
4 ohms
Step-by-step explanation:
The question is "In two minutes a current of 5 amps develops 1,200 heat units in a wire of 8 ohms resistance. What resistance does a similar wire have, which develops 6,000 heat units with a current of 10 amps in 5 minutes?"
Current, I₁ = 5 A
Heat, Q₁ = 1200 units
Resistance, R₁ = 8 ohms
Time, t₁ = 2 min = 120 s
New heat, Q₂ = 6000 units
Current, I₂ = 10 A
New time, t₂ = 5 min = 300 s
We need to find the new resistance.
Heat developed is given by :
So, the new resistance is 4 ohms.