Answer:
≈ 35.1 ft
Step-by-step explanation:
The model is a right triangle with ladder being the hypotenuse and the angle between the ground and the ladder is 70°
Using the cosine ratio, with l being the length of the ladder.
cos70° =
=
( multiply both sides by l )
l × cos70° = 12 ( divide both sides by cos70° )
l =
≈ 35.1 ( to the nearest tenth )
The ladder is approx 35.1 ft long
I think you meant to say

(as opposed to <em>x</em> approaching 2)
Since both the numerator and denominator are continuous at <em>t</em> = 2, the limit of the ratio is equal to a ratio of limits. In other words, the limit operator distributes over the quotient:

Because these expressions are continuous at <em>t</em> = 2, we can compute the limits by evaluating the limands directly at 2:

The answer would be A) 2,640.
In order to find this we must first find an amount of people per square feet. Since we are given that 10 people fit in a 5x5 square, we know that 10 people fit in 25 square feet. This will be the basis for our final calculation.
Now we need to find how many square feet we have. Since it is a quarter of a mile long, we'll divide the number of feet in a mile by 4.
5,280/4 = 1320.
Now we take the length and multiply it by the width, which is 5ft.
1320 * 5 = 6,600 square feet.
So we now know the size of the crowd. We can use that and multiply it by the factor that we found at the start to find the number of people.
6,600 square feet * 10 people/ 25 square feet = 2,640 people.
Answer:
60
Step-by-step explanation:
180-140=40, 180-(80+40)=60