Answer: the top of the ladder is at 24 feet from the ground
Step-by-step explanation:
Use the Pythagorean theorem to solve for the unknown, since we notice that the ladder is the hypotenuse of a right angle triangle formed by the horizontal distance from the wall to the base of the ladder, and the height of the top of the ladder against the wall. We need to find one of the triangle's sides given its hypotenuse and the other side, so we use the formula:
The Ostrich will take 64 minutes to cover 40 miles.
Data;
To calculate the time it will take the ostrich to cover 40 miles, we have to compare it with the rate (speed).
Cross multiply both sides
simplify the value
divide both sides by the coefficient of x
From the calculations above, it would take the ostrich 64 minutes to cover 40 miles.
Learn more on rates here;
Answer:
Proof below.
Step-by-step explanation:
<u>Quadratic Formula</u>
<u>Given quadratic equation</u>:
<u>Define the variables</u>:
<u>Substitute</u> the defined variables into the quadratic formula and <u>solve for x</u>:
Therefore, the exact solutions to the given <u>quadratic equation</u> are:
Learn more about the quadratic formula here: