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densk [106]
2 years ago
4

He bell tower of the cathedral in pisa, italy, leans 5.6 from the vertical. a tourist stands 105 m from its base, with the towe

r leaning directly toward her. she measures the angle of elevation to the top of the tower to be 29.2. find the length of the tower to the nearest meter.

Mathematics
1 answer:
malfutka [58]2 years ago
5 0
We know that

see the attached figure to better understand the problem

the sinus law <span>establishes
a/sin A=b/sin B=c/sin C

in this problem
a=105 m
A=66.4</span>°
b=AB (length of the tower)
B=29.2°

then
a/sin A=b/sin B-----------> b=a*sin B/sin A-------> 105*sin 29.2°/sin 66.4°
b=55.90 m

the answer is 
<span>the length of the tower is 56 m</span>

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Based on Pythagorean identities, which equation is true? sine squared theta minus 1 = cosine squared theta secant squared theta
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Answer:

Cot^2\theta-Csc^2\theta=-1

Step-by-step explanation:

The only Pythagorean identities are:

1. \ Sin^2\theta+Cos^2\theta=1

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Therefore,Cot^2\theta-Csc^2\theta=-1 is correct as it's one of the pythagorean identities.

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Step-by-step explanation:

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Answer:

(Warning) Not sure this is completley correct but this is just what I did.

Part A

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It does show a function because it passes the vertical line test (no two points have the same x value).

Part B

Is the relationship for Amit’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

Nonlinear because the line isn’t straight

Part C

Is the relationship between Amit’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

Increasing because it is gaining weight

Part D

Does the data for Camille’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value

Part E

Is the relationship for Camille’s puppy’s weight in terms of time linear or nonlinear? Explain your response.

It is a linear function because the line has no curve, and the line is constant.

Part F

Is the relationship between Camille’s puppy’s weight in terms of time increasing or decreasing? Explain your response.

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Part G

Does the data for Olivia’s puppy show a function? Why or why not?

Yes, it does, because each input value has a unique output value. The graph attached ( which shows the data for Camille’s puppy), that each x-value (Weeks) has a unique y-value (Weight in pounds).

Therefore, based on this and keeping in mind the explanation before, you can conclude that the data for Camille’s puppy shows a function.

Part H

Is the relationship for Olivia’s puppy’s weight in terms of time linear or nonlinear? Explain your response

Yes, it linear because it’s a straight line.

Part I

Is the relationship for Olivia’s puppy’s weight in terms of time increasing or decreasing? Explain your response. Increasing. For every week that goes by, Olivia's puppy is gaining one pound. 6-5= 1  14-13= 1. Gaining a pound every week makes the puppy’s weight increase.

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Which two relationships have a y-intercept and a constant rate of change?

They all have y-intercepts and only Olivia and camilles have a constant rate of change.

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To compare the linear functions, you first need to find their equations. For each of the linear functions, write an equation to represent the puppy’s weight in terms of the number of weeks since the person got the puppy.

Linear equation, y=mx+b

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Part E

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Step-by-step explanation:

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