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astra-53 [7]
3 years ago
10

8. Complete this item.

Mathematics
1 answer:
White raven [17]3 years ago
8 0
Acute, adjacent, vertical,
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Which number is missing from the table of equal ratios?
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Answer:

your answer is option (c) 105

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100pts: How many permutations of the word MISSISSIPPI do not have consecutive vowels?
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Answer:7350

The total arrangements of the letters in Mississippi having no consecutive s's=70X105=7350. So, the answer is 7350.Hence, the distinct permutations of the letters of the word MISSISSIPPI when four I's do not come together = 34650 – 840 = 33810.

Step-by-step explanation:

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Which of these shows the result of using the first equation to substitute for y
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Help I don’t know how to do this please help
igor_vitrenko [27]

SOLUTION:

Case: Trigonometry

Method:

Let the distance between the Sun and the Earth be 'z'

The relationship between x, y and z is:

\begin{gathered} tan(x)=\frac{opp}{adj} \\ tan(x)=\frac{y}{z} \\ z=\frac{y}{tan(x)} \\ z=ycot(x) \end{gathered}

Final answer:

In sentence,

The distance between the Sun and the Earth is the product of the distance between the Earth and the moon and the cotangent of the angle x formed using the lines from the Earth and the moon.

8 0
1 year ago
A knitter wants to make a rug for a dollhouse. The length of the rug will be 2 inches more than it’s width. The total area of th
steposvetlana [31]

The width of the rug is 3 inches

Step-by-step explanation:

A knitter wants to make a rug for a dollhouse

  • The length of the rug will be 2 inches more than it’s width
  • The total area of the rug ( in square inches) based on the width w of the rug (in inches ) is given by A(w) = w (2 + w)
  • The desired area of the rug is 15 square inches

We need to find the width of the rug

∵ The area of the rug is A(w) = w(2 + w)

- Simplify the right hand side

∴ A(w) = 2w + w²

∵ The desired area of the rug is 15 square inches

- Equate A(w) by 15

∴ 2w + w² = 15

- Subtract 15 from both sides

∴ 2w + w² - 15 = 0

- Its a quadratic equation arrange its terms from the greatest power of x

∴ w² + 2w - 15 = 0

Factorize it into two binomial factors

∵ w² = w × w

∵ 15 = 3 × 5

∵ 5w - 3w = 2w

∴ w² + 2w - 15 = (w -3)(w + 5)

∴ (w - 3)(w + 5) = 0

- Equate each factor by 0

∴ w - 3 = 0 OR w + 5 = 0

∵ w - 3 = 0

- Add 3 to both sides

∴ w = 3

∵ w + 5 = 0

- Subtract 5 from both sides

∴ w = -5 ⇒ rejected because no dimension with -ve value

∴ w = 3 only

The width of the rug is 3 inches

Learn more:

You can learn more about the quadratic equation in brainly.com/question/9328925

#LearnwithBrainly

8 0
3 years ago
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