H(x)=-3,1 I think hope this helps
Answer:
Step-by-step explanation:
We use trig to answer these questions:
sin x = opposite side of a triangle / hypotenuse
cos x = adjacent side / hypotenuse
Construct a right triangle with hypotenuse 4 m and lower angle 68 degrees.
The height of the top of the ladder is then defined by:
sin 68 degrees = height / 4 m, which yields (4 m)(sin 68) = height =
3.71 m
and the distance of the bottom of the ladder from the wall as follows:
cos 68 degrees = horizontal distance / hypotenuse =
1.50 m
Answer:
Step-by-step explanation:
10) The opposite sides of a parallelogram are equal. It means that
a + 15 = 3a + 11
3a - a = 15 - 11
2a = 4
a = 4/2 = 2
Also,
3b + 5 = b + 11
3b - b = 11 - 5
2b = 4
b = 4/2 = 2
11) The opposite angles of a parallelogram are congruent and the adjacent angles are supplementary. This means that
2x + 11 + x - 5 = 180
3x + 6 = 180
3x = 180 - 6 = 174
x = 174/3 = 58
Therefore,
2x + 11 = 2×58 + 11 = 127 degrees
The opposite angles of a parallelogram are congruent, therefore,
2y = 127
y = 127/2 = 63.5
12) The diagonals of a parallelogram bisect each other. This means that each diagonal is divided equally at the midpoint. Therefore
3y - 5 = y + 5
3y - y = 5 + 5
2y = 10
y = 10/2 = 5
Also,
z + 9 = 2z + 7
2z - z = 9 - 7
z = 2
Answer:
we can test score by making some equations which us to test score so please do it
<u>Finding the Decay constant(λ):</u>
λ = 0.693 / (half-life)
we are given that the half-life is 36 hours
λ = 0.693 / (36)
λ = 0.01925 /hour
<u>Time taken for 87% decay:</u>
Since decay is first-order, we will use the formula:
Where A₀ is the initial amount and A is the final amount
Let the initial amount be 100 mg,
the final amount will be 87% of 100
Final amount = 100*87/100 = 87 mg
<em>Replacing the values in the equation: </em>
<em />
<em />
<em />
<em />
t = 7.18 hours
<em>We used 'hours' as the unit because the unit of the decay constant is '/hour'</em>
Therefore, the drug will decay to 87% of initial dosage after 7.18 hours
