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Butoxors [25]
3 years ago
11

Why are there 9 square feet in a square yard

Mathematics
1 answer:
Lelechka [254]3 years ago
4 0
1 yard = 3 feet so 1 yard by 1 yard = 3 x 3 = 9 square feet.. This means that 9 squares that are 3 feet by 3 feet will fit into a square that is 1 yard by 1 yard.
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it cost $102.50 to repair a plasma tv. if you pay $15 for new parts and $25 per hour for labour, how much time did it take to re
Nana76 [90]

Subtract the part from the total:

102.50 - 15 = 87.50

Now divide the remainder by rate:

87.50 / 25 = 3.5 hours

7 0
3 years ago
In a group of students, 30 played chess, 19 played volleyball, 25 played
saul85 [17]

Answer:

Explained below.

Step-by-step explanation:

Denote the events as follows:

<em>C</em> = chess

<em>V</em> = volleyball

<em>B</em> = basketball

The data provided is as follows:

n (C) = 30

n (V) = 19

n (B) = 25

n (C ∩ V) = 14

n (B ∩ V) = 8

n (B ∩ C) = 15

n (C ∩ V ∩ B) = 5

Consider the Venn diagram below.

The number of students who played only chess is marked in pink:

n (Only C) = 6

The number of students who played only volleyball is marked in blue:

n (Only V) = 2

The number of students who played only basketball is marked in orange:

n (Only B) = 7

The number of students who played all three is marked in grey:

n (C ∩ V ∩ B) = 5

5 0
4 years ago
(a) What is the difference between a sequence and a series? A series is an unordered list of numbers whereas a sequence is the s
zhenek [66]

Answer:

  • (a) A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
  • (b) A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.

Step-by-step explanation:

A sequence is a list of ordered numbers. For example, 1, 2, 3, 4, 5.... is a sequence. The numbers are listed in a specific order when we count. In contrast, a series is the sum of the numbers in a sequence. For this multiple choice, choose the best answer that defines what a sequence is.

(a) What is the difference between a sequence and a series?

  • A series is an unordered list of numbers whereas a sequence is the sum of a list of numbers.
  • A sequence is an ordered list of numbers whereas a series is the sum of a list of numbers.
  • A series is an ordered list of numbers whereas a sequence is the sum of a list of numbers.
  • A sequence is an ordered list of numbers whereas a series is an unordered list of numbers.
  • A sequence is an unordered list of numbers whereas a series is the sum of a list of numbers.

When working with sequences and series, we look at what happens at negative and positive infinity. When a series converges, it approaches a finite number. When a series diverges, it does not approach a finite number but infinity.

(b) What is a convergent series? What is a divergent series?

  • A series is divergent if the nth term converges to zero. A series is convergent if it is not divergent.
  • A series is convergent if the nth term converges to zero. A series is divergent if it is not convergent.
  • A convergent series is a series for which lim n → ∞ an exists. A series is convergent if it is not divergent.
  • A series is convergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
  • A series is divergent if the sequence of partial sums is a convergent sequence. A series is divergent if it is not convergent.
6 0
4 years ago
Read 2 more answers
5. Mr. Martinez is getting a rug for his den and wants to make sure it will fit.He knows the area of the den is 547.35 square fe
evablogger [386]
No.

If the Den is 547.35 Square feet, and one side length is 26.7, you divide the Area by one side length to get the other. 547.35/26.7= 20.5

20.5 is less than <span>23.5. Therefore the rug will not fit.</span>
8 0
4 years ago
Let , −5−6 be a point on the terminal side of θ . find the exact values of cosθ , cscθ , and tanθ .
gizmo_the_mogwai [7]
Given that point (-5, -6) is a point on the terminal side of <span>θ. Since both the x coordinate and the y-coordinate are negative, </span><span>θ is in the third quadrant.

The side opposite </span><span>θ is -6 and the side adjacent </span><span>θ is -5.

The hypothenus is given by \sqrt{(-6)^+(-5)^2}=\sqrt{36+25}=\sqrt{61}

The exact value of cos</span><span>θ is given by:

\cos\theta= \frac{adjacent}{hypothenuse} = \frac{-5}{\sqrt{61}}

</span>The exact value of csc<span>θ is given by:

\csc\theta= \frac{hypothenuse}{opposite} = \frac{\sqrt{61}}{-6}</span>

The exact value of tan<span>θ is given by:

\tan\theta= \frac{opposite}{adjacent} = \frac{-6}{-5} =1.2</span>
5 0
4 years ago
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