The quotient of 3,419 and 11 is 310.81.
<h3>How to illustrate the information?</h3>
It should be noted that from the information given, we are to find the quotient of 3,419 and 11 determined using an area model.
It should be noted that this simply means the division of the values given. This will be:
= 3419/11
= 310.81
Therefore, the quotient of 3,419 and 11 is 310.81.
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Answer:

Step-by-step explanation:
Assuming the maximum score for the final is
, we can multiply each score by its respective course weight and add them together to give a final score. If your friend did receive this maximum score of
, their overall grade for the course would be:
.
To find the minimum score they need to earn a 75% for the course, we set up the following equation:
, where
is the minimum score she needs.
Solving, we get:
.
A right triangle is formed with the ladder as the hypotenuse. Since the angle made by the ladder with with ground is given, we can use trigonometric functions to solve for the height of the house.
If we let x be the height of the house and using sine function:
sin 24 = x/30
x = 30 sin 24
x = 12.20 ft
Therefore, the house is 12.20 ft tall