Mathematics, 17.10.2020 01:01 khenalilovespandas

Giving BRAINLIEST! Help me answer the last three questions! The Transamerica Pyramid, shown at the right, is an
office building in San Francisco. It stands at 853 feet
tall and is 145 feet wide at its base. Imagine that a
coordinate plane is placed over the side of the building.
In the coordinate plane, each unit represents one foot,
Write an absolute value function whose graph is
the V-shaped outline of the sides the building,
ignoring the "shoulders" of the building. (30 pts)
Graph the function on graph paper. Use an
appropriate scale and label your graph. (30 pts)
itsps
Show work to determine the function.
Function Equation:
125 +853
Vertex (0,953)
slope = -853=-1706
72.5
-11.7665
195
1 Y = F x +853)
(Y=-11.76x-0/+853
Does it matter where the building is positioned on the grid? Why or why not? (10 pts)
In interval notation, state the domain and range for your function.
In interval notation, state the domain and range for the situation.
If a man is in an observation area at 800ft, how far would he be
from the center of the building? Show all of your thought process. You
may elaborate using written explanation as well. (10 pts)

Giving BRAINLIEST! Help me answer the last three questions!

The Transamerica Pyramid, shown at th

Answers: 2

Show answers

Answers

Answer from: Bunnybear8099

1) The absolute value function equation of the graph is $y = \left | 11.76 \times \left | x - 72.5 \right | - 853 \right |$

Please see attached graph

2) Yes, It does matter where the building is positioned

3) The domain of the function is 0 < x < 145

The range of the function is 0 < y < 853

4) 4.5 ft from the center

Step-by-step explanation:

The given width = 145 ft

The height = 853 ft

The slope = 853/(145/2) ≈ 11.766

Placing the left base of the pyramid at the origin of the graph with coordinates, (0, 0)

We have;

The y-intercept = 0

The equation becomes;

y = 11.766× x +0

When x > 72.5, we have;

The slope ≈ -11.766

Noting that the slope changes at the center with coordinates x = 72.5, when we multiply the slope by the difference between an x-coordinate value and the midpoint value and subtract that from the height of the building, we get the negative value of the height of the location at that value of x as follows;

$-y_x =11.76 \times \left | x - 72.5 \right | - 853 \right |$

Therefore, we look for the absolute value of the above expression to get the height of a point, with an horizontal distance of x ft from the left base of the building as follows

$y = \left | 11.76 \times \left | x - 72.5 \right | - 853 \right |$

The absolute value function equation of the graph is presented as follows;

$y = \left | 11.76 \times \left | x - 72.5 \right | - 853 \right |$

2) It does matter where the building is positioned because, that determines the relation for the x-value and the center of the building, where the slope changes to negative

3) The domain of the function is 0 < x < 145

The range of the function is 0 < y < 853

4) At 800 ft, we have;

$80 = \left | 11.76 \times \left | x - 72.5 \right | - 853 \right |$

x = (800 + 853)/11.766 - 72.5 ≈ 68 ft

Therefore, given that the center is at 72.5 ft from the origin, he will be 72.5 - 68 ≈ 4.5 ft from the center

Giving BRAINLIEST! Help me answer the last three questions!

The Transamerica Pyramid, shown at the

Answer from: Quest

total amount of money that he should pay if he has not used his duty free exemption is $98

step-by-step explanation:

given a united states citizen returning to the states declares the following items at the customs office: 3 shirts at $8.50 each 2 dresses at $27.50 each 1 pair of gold cuff links at $17.50 per pair. we have to find how much he pay

cost of 3 shirts if one cost at $8.50 is $3\times 8.50=$25.5$