Answer:
150,595
Step-by-step explanation:
First, convert miles to feet:
4.1 mi × (5280 ft/mi) = 21648 ft
The area that the crowd takes up is:
2 × 8 ft × 21648 ft = 346368 ft²
The number of people is:
346368 ft² × (1 person / 2.3 ft²) = 150594.8
Rounding to the nearest integer, there are approximately 150,595 people in the crowd.
Answer:

Step-by-step explanation:
we know that
The surface area of the square pyramid is equal to the area of the square base plus the area of its four lateral triangular faces
so
![SA=b^{2}+4[\frac{1}{2}bh]](https://tex.z-dn.net/?f=SA%3Db%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7Dbh%5D)
where
b is the length side of the square base
h is the height of the triangular face
Remember that
Each lateral triangular face is a triangle 45°-90°-45°
so

we have

so

substitute in the formula
![SA=6^{2}+4[\frac{1}{2}(6)(3)]=72\ ft^{2}](https://tex.z-dn.net/?f=SA%3D6%5E%7B2%7D%2B4%5B%5Cfrac%7B1%7D%7B2%7D%286%29%283%29%5D%3D72%5C%20ft%5E%7B2%7D)
Answer:
g(x + 7) = 11x + 80
g(x) + g(7) = 11x + 83
Step-by-step explanation:
g(x + 7) = 11(x + 7) + 3 = 11x + 77 + 3 = 11x + 80
g(x) + g(7) = 11x + 3 + 11(7) + 3 = 11x + 3 + 77 + 3 = 11x + 83
Given:
There are given that the parent functions as a cosine function:
Where,
The amplitude of the function is 9.
The vertical shift is 11 units down.
Explanation:
To find the cosine function, we need to see the standard form of the cosine function:

Where,
a is the amplitude of the function,
Now,
According to the question:
The amplitude of the function is 9, which means:

The vertical shift is 11 units down, which means:

For period:

Final answer:
Hence, the cosine function is shown below;
Answer:
A. Dilation of scale factor 2
B. Reflection over the y-axis
C. Reflection over the line y=x
D. Translation 1 unit left and 1 unit up