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Romashka [77]
3 years ago
15

A pigeon was sitting 18 feet from the base of a telephone pole and flew 30 feet to reach the top of the pole. How tall is the te

lephone pole?
Mathematics
1 answer:
natta225 [31]3 years ago
6 0

Answer:

The telephone pole is 24 ft.

Step-by-step explanation:

30^2-18^2=b^2

900-324=b^2

576=b^2

\sqrt{576} =\sqrt{b^2}

24=b

b=height of telephone pole

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Felix says if 2/3 pan of lasagna had been left over from dinner and the padis family ate 1/2 of that for lunch, the answer would
olga_2 [115]

Answer:

He is right he can eat 2/6 f the whole pan of lasagna

Step-by-step explanation:

We had  2/3 pan of lasagna and pads family ate 1/2 of it, then

padis family ate  (2/3) /2     or  2/6    

2/6 is half of the total pan of lasagna, padis family ate half of 2/3 wich is 2/6 and left 2/6 for Felix

6 0
3 years ago
Write an explicit formula for a_n, the nth term of the sequence 4, -20, 100, ...
saw5 [17]

Answer:

a_{n} = 4 (-5)^{n-1}

Step-by-step explanation:

There is a common ratio r between consecutive terms , that is

r = - 20 ÷ 4 = 100 ÷ - 20 = - 5

This indicates the sequence is geometric with nth term ( explicit formula )

a_{n} = a₁ (r)^{n-1}

where a₁ is the first term and r the common ratio

Here a₁ = 4 and r = - 5 , then

a_{n} = 4 (-5)^{n-1}

3 0
3 years ago
Greatest common factor of 2, 15 , 6
ratelena [41]

Answer:Gcf=1.

Step-by-step explanation:                                                                               The factors of 2 are: 1, 2 .

The factors of 6 are: 1, 2, 3, 6 .

The factors of 15 are: 1, 3, 5, 15.

3 0
3 years ago
The managers of 21 supermarkets counted the number of cars in their parking lots on the same day. The results are shown in the l
mixer [17]

The IQR is 42.5

Step-by-step explanation:

Interquartile range is the difference of third and first quartile.

First of all we have to find the median for that purpose the data has to be arranged in ascending order. The data is already in ascending order.

As the number of values are odd

n=21

The median will be: (\frac{n+1}{2}) th\ term

Putting n=21

(\frac{21+1}{2})th\ term\\=(\frac{22}{2})th\ term\\= 11th\ term

The 11th term is 133

So median = 133

Now the data is divided into two halves

One is: 98, 100, 101, 102, 108, 109, 111,118, 129, 132

2nd is: 135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q1 will be the median of first half and Q3 will be the median of 2nd half.

As now the halves contain even number of values, the medians will be the average of middle two values

<u>For First Half:</u>

98, 100, 101, 102, <u>108, 109</u>, 111,118, 129, 132

Q_1 = \frac{108+109}{2}\\Q_1 = \frac{217}{2}\\Q_1 = 108.5

<u>For Second Half:</u>

135, 135, 145, 146, 146, 156, 170 176, 180, 180

Q_2 = \frac{146+156}{2}\\Q_2 = \frac{302}{2}\\Q_2 = 151

Now

<u>Interquartile Range:</u>

IQR = Q_3-Q_1\\= 151-108.5\\=42.5

Hence,

The IQR is 42.5

Keywords: Median, IQR

Learn more about median at:

  • brainly.com/question/10940255
  • brainly.com/question/10941043

#LearnwithBrianly

7 0
3 years ago
Max rented a motorbike at $465 for 5 days. If he rents the same motorbike for a week, he has to pay a total rent of $625.
garri49 [273]
The answer is simple you divide $465 from 5 then multiply
6 0
3 years ago
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