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Nataly [62]
3 years ago
15

Madeleine can type 3 pages in one hour. How many pages will it take her to type a 123- page report?

Mathematics
2 answers:
Maurinko [17]3 years ago
4 0
It would be 41 because 123/3 =41
romanna [79]3 years ago
3 0

The answer is 41 Hope i helped

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Select all equations that are equivalent to 5x + 6/2= 3-(4x +12)​
Savatey [412]

Answer:

- 4/3

Step-by-step explanation:

6 0
3 years ago
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
Please help me I’m crying right now
Semenov [28]

Answer:

24ft²

Step-by-step explanation:

Dude. Go back and relearn the concept man. This is the third time you've been asking the same subject.

Area of triangle = ½BH = ½(6)(8) = 24

5 0
3 years ago
Read 2 more answers
John has 6 boxes of apples each box holds 12 apples. If 4 of the boxes r full and 2 r half full how many apples does John have??
olga55 [171]
Each box holds 12 apples
He has 6 boxes : 4 are full, 2 are half full

4 with 12, 2 with half of 12 (6)

12*4 + (12/2 * 2)
48 + 6*2
48+12
60
3 0
3 years ago
In 9.3 x 10-8 the exponent is a negative number. Which of these describes the value of a number in scientific notation that incl
WARRIOR [948]

Answer:

0.000000093

Step-by-step explanation:

Theres seven zeros after the decimal

6 0
3 years ago
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