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Lostsunrise [7]
3 years ago
15

In how many way can five people sit next to each other in a theater row ?

Mathematics
1 answer:
lyudmila [28]3 years ago
5 0
I think it would be 25 ways 
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Please answer the attached question by selecting of the the given answers.
Alchen [17]

Answer:

The correct answer is option A. Base = 11 cm and height = 13 cm

Step-by-step explanation:

It is given that, height of a triangle is 2 cm more than its base.Then height is increased by 2 cm.Then the area of triangle becomes 82.5 cm²

<u>To find the base an d height of original triangle</u>

Let x be the original base 'b' then the height  h = x + 2

New height h = x + 2 + 2 = x + 4

Area = bh/2

82.5= (x(x + 4)/2

165 = x² + 4x

x + 4x - 165 = 0

Solving we get x = 11 and x = -15

Take positive value x = 11

Therefore base = 11 and height = x + 2 = 13 cm

The correct answer is option A. Base = 11 cm and height = 13 cm

5 0
3 years ago
A scientist wants to research the potential spread of germs by contact. she knows that the number of possible handshakes within
Viefleur [7K]
Given that <span>the number of possible handshakes within a group of n people is given by the equation:

</span>N= \frac{1}{2} (n^2-n)
<span>
Given that there are 105 people at a party, the number of possible handshakes is given by:

</span>N= \frac{1}{2} (105^2-105) \\  \\ = \frac{1}{2} (11025-105)=10920<span>
</span>
8 0
3 years ago
What's the next three numbers in this inductive reasoning pattern<br> 10,7,4,1
pentagon [3]
10, 7, 4, 1, -2, -5, -8
3 0
3 years ago
For the trapezoid ABCD E and F are the midpoints of
lawyer [7]

Answer:

EF=\frac{b+d}{2}\ units

Step-by-step explanation:

we know that

The <u><em>Trapezoid Mid-segment Theorem</em></u>. states that the length of the mid-segment is equal to the sum of the base lengths divided by two.

so

EF=\frac{BC+AD}{2}

we have

BC=b\ units\\AD=d\ units

substitute the given values

EF=\frac{b+d}{2}\ units

6 0
3 years ago
2x &lt; -12 please solve this
melisa1 [442]

Answer:

x<−6 is your answer. <3

3 0
3 years ago
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