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kobusy [5.1K]
3 years ago
7

Write an equation to represent this situation and answer the question

Mathematics
1 answer:
il63 [147K]3 years ago
7 0
The equation would be x+3x(10+2x)=142
The sides are 22cm , 54cm and 66 cm.
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Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement bes
ivolga24 [154]

Answer:

The correct option is (4).

Step-by-step explanation:

The complete question is:

Let f(p) be the average number of days a house stays on the market before being sold for price p in $1,000s. Which statement best describes the meaning of f(275)?

  1. Houses sell on the market for an average of $275,000 and stay on the market an average of 275 days before being sold.
  2. Houses sell for an average of $275,000.
  3. f(275) indicates houses stay on the market an average of 275 days before being sold.
  4. f(275) represents the average number of days houses stay on the market before being sold for $275,000.

Solution:

The function f (p) is defined as the average number of days a house stays on the market before being sold for price <em>p</em> in $1,000s.

The function provided is: f (275)

That is, <em>p</em> = $275,000.

So, the function  (275) describes the average number of days a house stays on the market before being sold for price $275,000.

Thus, the correct option is (4).

6 0
3 years ago
What is the simplest form of the expression below?
sineoko [7]

Answer:

(B) cot Theta

Step-by-step explanation:

We want to simplify the expression:

\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }

Now:

\dfrac{ cos\theta}{sin\theta } =cot\theta\\\dfrac{ sin\theta}{cos\theta }=tan \theta\\$Substituting these into the expression\\\dfrac{cot\theta cos\theta}{sin\theta } X\dfrac{tan\theta}{\frac{sin\theta}{cos\theta tan \theta}  }=cot\theta cot\theta X\dfrac{tan\theta}{\frac{tan\theta}{ tan \theta}  }\\=cot\theta cot\theta X tan\theta$  (Since cot\theta X tan\theta =1) \\$Therefore our result:\\=cot\theta

3 0
3 years ago
Read 2 more answers
A car took 6 minutes to travel between two stations that are 3 miles apart find the average speed of the car in mph
Vesna [10]

Answer: 30 mph is the answer.

Step-by-step explanation:

s = 3 miles

t = 6 minutes

so,

60 minute = 1 hour

1 minute = 1/60 hour

6 minutes = 1/60 * 6 = 0.1 hour

so

average speed = s/t

= 3/0.1 = 30 mph

7 0
2 years ago
Read 2 more answers
The sum of an infinite geometric series is three times the first term. Find the common ratio of this series.
adelina 88 [10]

Answer:

\frac{2}{3}

Step-by-step explanation:

The sum of an  infinite geometric series is expressed according to the formula;

S_\infty = \dfrac{a}{1-r} where;

a is the first term of the series

r is the common ratio

If the sum of an infinite geometric series is three times the first term, this is expressed as S_\infty = 3a

Substitute S_\infty = 3a into the formula above to get the common ratio r;

3a = \dfrac{a}{1-r} \\\\

cross \ multiply\\\\3a(1-r) = a\\\\3(1-r) = 1\\

open the parenthesis

3 - 3r = 1\\\\

subtract 3 from both sides

3 - 3r -3= 1-3\\\\-3r = -2\\\\r = \frac{2}{3}

<em>Hence the common ratio of this series is </em>\frac{2}{3}<em></em>

3 0
3 years ago
Find the value of the trigonometric ratio. Simplify the ratio if possible.
sweet [91]

Step-by-step explanation:

Given that,

BC = 8

Ac = 15

We can find AB using the pythagoas theorem.

AB=\sqrt{AC^2+BC^2}\\\\=\sqrt{15^2+8^2}\\\\AB=17

We know that,

\cos\theta=\dfrac{B}{H}, B is base and H is Hypotenuse

\cosB=\dfrac{8}{17}

Hence, this is the required solution.

3 0
3 years ago
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