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Lostsunrise [7]
1 year ago
9

A straight water slide is 175 feet above ground and is 200 feet long. What is the angle of depression to the bottom of the slide

?

Mathematics
2 answers:
tiny-mole [99]1 year ago
7 0

Check the picture below.


make sure your calculator is in Degree mode.

disa [49]1 year ago
7 0

Answer:

Step-by-step explanation:

Alright, lets get started.

Please refer the diagram I have attached.

It will form a right triangle.

height is 175 feet.

The length is 200 feet long.

using SOH CAH TOA,

Suppose angle of depression is x, then

sin x = \frac{opposite}{hypotenuse}

sin x = \frac{175}{200}

sin x = 0.875

Taking sin inverse

x = sin^{-1}(0.875) = 61.04

Hence te angle of depression is 61.04 degrees. :   Answer

Hope it will help :)

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Answer:

o calculate the volume of a cone, start by finding the cone's radius, which is equal to half of its diameter. Next, plug the radius into the formula A = πr^2, where A is the area and r is the radius. Once you have the area, multiply it by the height of the cone.Step-by-step explanation:

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6 0
2 years ago
The average sunflower has 34 petals. What is the best estimate of the total number of petals on 57 sunflowers?
Marianna [84]
The best estimate would be to assume that they all have an average number of petals.

An estimate of 1,938 petals
4 0
2 years ago
The value in dollars,v(x),of a certain truck after x years is represented by the equation v(x)=32,500(0.92)^x.To the nearest dol
Vika [28.1K]

Answer: $2193

Step-by-step explanation:

v(x) = 32,500(.92)^{x}

Plug two and three in for x

v(2) = 32,500(.92)^{2}

v(2) = 32,500(.8464)

v(2) = 27,500

v(3) = 32,500(.92)^{3}

v(3) = 32,500(.778688)

v(3) = 25,307.36

Subtract v(3) from v(2)

27,500 - 25,307.36 = 2192.64

Round to the nearest dollar to get $2193

7 0
2 years ago
Every year the United States Department of Transportation publishes reports on the number of alcohol related and non-alcohol rel
Damm [24]

Complete question:

The line graph relating to the question was not attached. However, the line graph has can be found in the attachment below.

Answer:

17,209

Step-by-step explanation:

The line graph provides information about alcohol-related highway fatalities between year 2001 to 2010.

Determine the average number of alcohol-related fatalities from 2001 to 2006. Round to the nearest whole number.

The average number of alcohol related fatalities between 2001 - 2006 can be calculated thus :

From the graph:

Year - - - - - - - - - - Number of fatalities

2001 - - - - - - - - - - 17401

2002 - - - - - - - - -  17525

2003 - - - - - - - - -  17013

2004 - - - - - - - - - 16694

2005 - - - - - - - - - 16885

2006 - - - - - - - - - 17738

To get the average :

Sum of fatalities / number of years

(17401 + 17525 + 17013 + 16694 + 16885 + 17738) / 6

= 103256 / 6

= 17209.333

Average number of alcohol related fatalities is 17,209 (to the nearest whole number)

6 0
1 year ago
Barrett works at an ice cream shop. The function f(x) represents the amount of money PLEASE HELP!!!!!!!!!!!!!
oee [108]

Answer:

f(g(x))=6x^3+4, it is the amount of money earned per number of hours of work, x

Step-by-step explanation:

Here we have two functions:

f(x)=2x^2 +4

This function represents the amount of money (the earning) per unit x

Then we have the function

g(x)=\sqrt{3x^3}

which represents the number of gallons of ice cream that Barrett makes per hour, where x is the number of hours he works.

Here we want to find the composite function

f(g(x))

which means that we use the output of g(x) as input for f(x). In this context, this means that the function f(g(x)) represents the amount of money earned per number of hours of work, x.

Substituting g(x) into the x of f(x), we find:

f(g(x))=2(g(x))^2+4=2(\sqrt{3x^3})^2+4=2(3x^3)+4=6x^3+4

7 0
2 years ago
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