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2 years ago

13

Factories and other industrial users account for about 23/50 of the total water usage in the United States. Which of the followi

ng show that amount as a percent and decimal.

1 answer:

mihalych1998 [28]2 years ago

6 0

23 / 50 = 0.46

0.46 converted to a percent is 46%

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Given tan theta =9, use trigonometric identities to find the exact value of each of the following:_______

Ludmilka [50]

Answer:

$(a)\ \sec^2(\theta) = 82$

$(b)\ \cot(\theta) = \frac{1}{9}$

$(c)\ \cot(\frac{\pi}{2} - \theta) = 9$

$(d)\ \csc^2(\theta) = \frac{82}{81}$

Step-by-step explanation:

Given

$\tan(\theta) = 9$

Required

Solve (a) to (d)

Using tan formula, we have:

$\tan(\theta) = \frac{Opposite}{Adjacent}$

This gives:

$\frac{Opposite}{Adjacent} = 9$

Rewrite as:

$\frac{Opposite}{Adjacent} = \frac{9}{1}$

Using a unit ratio;

$Opposite = 9; Adjacent = 1$

Using Pythagoras theorem, we have:

$Hypotenuse^2 = Opposite^2 + Adjacent^2$

$Hypotenuse^2 = 9^2 + 1^2$

$Hypotenuse^2 = 81 + 1$

$Hypotenuse^2 = 82$

Take square roots of both sides

$Hypotenuse =\sqrt{82}$

So, we have:

$Opposite = 9; Adjacent = 1$

$Hypotenuse =\sqrt{82}$

Solving (a):

$\sec^2(\theta)$

This is calculated as:

$\sec^2(\theta) = (\sec(\theta))^2$

$\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2$

Where:

$\cos(\theta) = \frac{Adjacent}{Hypotenuse}$

$\cos(\theta) = \frac{1}{\sqrt{82}}$

So:

$\sec^2(\theta) = (\frac{1}{\cos(\theta)})^2$

$\sec^2(\theta) = (\frac{1}{\frac{1}{\sqrt{82}}})^2$

$\sec^2(\theta) = (\sqrt{82})^2$

$\sec^2(\theta) = 82$

Solving (b):

$\cot(\theta)$

This is calculated as:

$\cot(\theta) = \frac{1}{\tan(\theta)}$

Where:

$\tan(\theta) = 9$ ---- given

So:

$\cot(\theta) = \frac{1}{\tan(\theta)}$

$\cot(\theta) = \frac{1}{9}$

Solving (c):

$\cot(\frac{\pi}{2} - \theta)$

In trigonometry:

$\cot(\frac{\pi}{2} - \theta) = \tan(\theta)$

Hence:

$\cot(\frac{\pi}{2} - \theta) = 9$

Solving (d):

$\csc^2(\theta)$

This is calculated as:

$\csc^2(\theta) = (\csc(\theta))^2$

$\csc^2(\theta) = (\frac{1}{\sin(\theta)})^2$

Where:

$\sin(\theta) = \frac{Opposite}{Hypotenuse}$

$\sin(\theta) = \frac{9}{\sqrt{82}}$

So:

$\csc^2(\theta) = (\frac{1}{\frac{9}{\sqrt{82}}})^2$

$\csc^2(\theta) = (\frac{\sqrt{82}}{9})^2$

$\csc^2(\theta) = \frac{82}{81}$

4 0

3 years ago

Ill help you if you help me WILL MARK BRAINLIEST!You can create special effects in an image using a camera or a photo-editing to

creativ13 [48]

Answer:

Special Lenses For Special Effects. ... These specialty lenses may be designed with movable focal planes for amazing depth of field, or built to focus extremely close to tiny subjects for macro enlargements, or even to produce a specific type of soft focus that's flattering for portraits

The meaning of photo editing is the act of altering an image, simply put. But that’s oversimplifying a subject which is quite complex.

For example, some photo editing techniques are done manually, while others are conducted through automated software. Some photo editing is even done offline, on actual photographs, posters or other printed collateral.

Other terms for photo editing:

Image editing

Post-processing

Image/photo manipulation

Photoshopping

Image/photo enhancement

Explanation:

so they both are alike because they can both be used to edit photos and both are great to use

Step-by-step explanation:

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2 years ago

City planners are creating a 3-dimenslonal model of a city park to find the best placement for a new tennis court the city park

xxTIMURxx [149]

The dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

Given, a rectangular plot of land that is 1,500 ft long and 600 ft wide the scale model of the park measures 7.5 ft x 3 ft.

The actual tennis court must be 120 ft long and 60 ft wide, then we need to find the dimensions of the tennis court in the scale model.

<h3>What is a scaled model?</h3>

A scale model is a physical model which is geometrically similar to an object. Scale models are generally smaller than large prototypes such as vehicles, buildings, or people.

First, divide the original measurements by the scaled ones. We get

1500 ft. ÷7.5 ft = 200

600 ft. ÷ 3 ft. = 200

Now, divide tennis courts actual dimensions by 200. That is

120 ft. ÷ 200 = 0.6 ft

60 ft. ÷ 200 = 0.3 ft

Therefore, the dimension of the tennis court in the scaled model is 0.6 ft long and 0.3 ft wide.

To learn more about scale factor visit:

brainly.com/question/22312172.

#SPJ1

5 0

1 year ago

I really need help.the directions is to find the value for b

Vikentia [17]

Answer:

Step-by-step explanation:

243+94+b=360

b=360-337

=23

4 0

3 years ago

Read 2 more answers

Solve for x in the diagram below.

user100 [1]

Answer:

x = 34°

Step-by-step explanation:

As you can see, in your pic there is a straight angle which is equal to 180°

Therefore, all the 3 angles combined will be equal to 180°

5 0

2 years ago