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Dafna1 [17]
4 years ago
15

Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and m

easured the angle of elevation to the top of the tower at 54 degrees if Ryan is 5 feet tall what is the height of the cell-phone tower?
Mathematics
1 answer:
spin [16.1K]4 years ago
3 0
Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees. 
Tan 54degrees = x/80(feet)
x=80(tan54)
x=110
To finalize the answer, we will add up the height of the cell-phone tower to the answer. 
110 + 5 = 115 feet
So the answer to the question is that the height of the cell-phone tower is 115 ft.
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determine the diameter to the nearest inch of a large can of tuna that has a volume 6068 inches and a height of 3.3 inches
anyanavicka [17]

Answer:

The diameter of can is<u> 48 inches</u>.

Step-by-step explanation:

Given:

Volume of can = 6068 inches.

And height(h) = 3.3 inches.

Now, to find the diameter.

Diameter = 2 × radius

Let radius be r.

So, by putting the formula of volume we get the radius:

Volume =\pi r^2h

6068=3.14\times r^2\times 3.3 (taking the value of π=3.14)

6068=10.362\times r^2

<em>Dividing both sides by 10.362 we get:</em>

585.60=r^2

<em>Using square root on both sides we get</em>:

24.199=r

<em>Radius = 24.199 inches.</em>

Then, we get the diameter:

Diameter = 2 × radius

Diameter = 2 × 24.199 = 48.398 inches.

Diameter = 48 inches (rounding to nearest, inch as in the place of tenth it is 3 which is less than 5.)

Therefore, the diameter of can is 48 inches.

7 0
3 years ago
More people leave Anytown, AL each year than move into it. The population over the past 20 years is shown in the table. Use tech
Phoenix [80]

The equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

<h3>What is the line of best fit?</h3>

A mathematical notion called the line of the best fit connects points spread throughout a graph. It's a type of linear regression that uses scatter data to figure out the best way to define the dots' relationship.

Let's suppose the equation that models the exponential decline is:

\rm y = a(b^x)

From the data given, we can calculate the value of a and b:

a = 46348587109809610

b = 0.9861

y = 46348587109809610(0.9861)ˣ

Thus, the equation that models the exponential decline is y = 46348587109809610(0.9861)ˣ if the population over the past 20 years is provided.

Learn more about the line of best fit here:

brainly.com/question/14279419

#SPJ1

6 0
2 years ago
Solve showing all work and simplify completely:<br> 9/18 + 1/3
ss7ja [257]

Answer:

5/6

Step-by-step explanation:

9/18 + 1/3 <Need the same denominator so find the lowest common multiple.

3 6 9 12 15 18 < multiples of 3

if 3 goes into 18 than it will be our LCM

3 goes into 18 6 times so multiply 1 and 3 by 6 and rewrite the equation

9/18 + 6/18 < just add 9 + 6 and place it over 18

15/18 <this number can be simplified so write out their factors and pick the highest one to divide by one they have in common.

1 3 5 15 <Factors of 15

1 2 3 6 9 18 <Factors of 18

3 is the highest one they both have so divide both 15 and 18  by 3

15/3 is 5 and 18/3 is 6

put the 5 and 6 in their proper places and you have 5/6 or .83333333333...

6 0
3 years ago
Describe some real-world situations that remind you of the coordinate plane.
Sloan [31]

Answer:

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4 0
3 years ago
Z=qm/q+m solve for m
leonid [27]
M= QZ/Q-Z    Ihope this helps

4 0
3 years ago
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