Answer:
h = 57.73 m
Step-by-step explanation:
We have,
The angle of elevation of the top of tower to be 30 degree
James is 100 m away horizontally from the base of the tower.
It is required to find the height of the tower.
Here, angle is 30 degree
Base, b = 100 m
Let h is the height of the tower. The relation between base and height is given by :
So, the height of the tower is 57.73 m.
Answer:
y = (x-0)^2 + (-5) ⇒ y = x^2 - 5
Step-by-step explanation:
The general vertex form of the parabola y = a(x - h)² + k
Where (h,k) is the coordinates of the vertex.
As shown at the graph the vertex of the parabola is the point (0, -5)
So,
y = a(x-0) + (-5)
y = ax^2 - 5
To find substitute with another point from the graph like (1,-4)
So, at x = 1 ⇒ y = -4
-4 = a * 1^2 - 5
a = -4 + 5 = 1
<u>So, the equation of the given parabola is ⇒ y = x^2 - 5</u>
The equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
<h3>Solving inequalities </h3>
From the question, we are to determine the equivalent form of the compound inequality
We will solve the given compound inequality
The given inequality is
−22 > −5x − 7 ≥ −33
We can write that
−22 > −5x − 7 AND −5x − 7 ≥ −33
Solving −22 > −5x − 7
5x > -7 +22
5x > 15
x > 15/5
x > 3
Also,
Solve −5x − 7 ≥ −33
−5x ≥ −33 +7
-5x ≥ -26
x ≤ -26/-5
x ≤ 5.2
Hence, the equivalents of the given compound inequality are x > 3 and x ≤ 5.2 OR 3 < x ≤ 5.2
Learn more on Inequalities here: brainly.com/question/20356565
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435 divided by 810 is 1.862068966. not rounded.
