Answer:
The ladder reach a height 8.485 ft.
Step-by-step explanation:
The ladder with the building made right angle triangle
The length of the ladder is the hypotenuse 12 ft.
The angle between the ladder and the building is 45°
The height of the ladder reach is the vertical side of the Δ
∴ h = 12 cos 45° = 6√2 = 8.485 ft.
Solve for x over the real numbers:
-x^2 - 12 = -87
Add 12 to both sides:
-x^2 = -75
Multiply both sides by -1:
x^2 = 75
Take the square root of both sides:
Answer: x = 5 sqrt(3) or x = -5 sqrt(3) both Answers are correct
The magnitude of -1-5i is √26.
<h3>What is the magnitude of -1-5i ?</h3>
Given the complex expression; -1 - 5i
To find the magnitude, we use the formula;
| a+bi | = √[ a² + b² ]
| a+bi | = √[ a² + b² ]
| -1-5i | = √[ (-1)² + (-5)² ]
| -1-5i | = √[ 1 + 25 ]
| -1-5i | = √26
Therefore, the magnitude of -1-5i is √26.
Learn more about magnitudes here: brainly.com/question/18152189
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The volume of a sphere can be calculated as
Where r is the radius of the sphere
We want to calculate half of the volume, then we must divide that volume by 2
Now we must find the radius of our sphere, the segment AB is the diameter of the sphere, and the radius is half od the diameter, then
Let's put it into our equation
The problem says to use
Then
Final answer:
The formula that can be used to calculate the volume of water inside the fish bowl is
