In ΔHIJ, the measure of ∠J=90°, JI = 48, IH = 73, and HJ = 55. What is the value of the tangent of ∠H to the nearest hundredth
1 answer:
Answer:
The value of the tangent of ∠H to the nearest hundredth is 41.11⁰
Step-by-step explanation:
Given;
∠J=90°
JI = 48
IH = 73
HJ = 55
If we sketch this triangle, we will observe that ΔHIJ is a right angled triangle, with hypotenuse as "IH", opposite as "JI" and adjacent as "HJ".
To determine the value of the tangent of ∠H, we apply the following formula;
Therefore, the value of the tangent of ∠H to the nearest hundredth is 41.11⁰
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Answer:
1. Equilibrium solution: y= -3
2. Equilibrium solution y= ±1.414
Step-by-step explanation:
Thinking process:
The equilibrium solution can only be derived when
1. Let's look at the first equation:
equating to the expression
gives
y + 3 = 0
y = -3
Therefore, the equilibrium solution occurs at y = -3
2. Let's look at the second solution:
dividing each side by (t²-1) gives
1/(t²-1) = (y²-2)/ (y²-4)
factorizing the right hand side gives:
at equilibrium: , then
y² - 2 = 0
solving for y gives y = ±√2
= ±1.414