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sleet_krkn [62]
3 years ago
11

What is the next 2 numbers in the sequence? 343,131413,11131114113

Mathematics
1 answer:
VashaNatasha [74]3 years ago
5 0

Answer:

111113111114111113 and 111111131111111411111113

Step-by-step explanation:

Here we want to know the next two numbers in the sequence.

The key here is that we shall be placing the same number of digit 1 between each of the digits 3 4 3

We went from a single 1 to triple, so the next will be 5 digit 1 and the next will be 7 digit 1

So the next number after the third will be;

111113111114111113

The next number after this will be;

111111131111111411111113

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A rectangle is 6yards longer than it is wide. Find the dimensions of the rectangle if it’s area is 187 square yards
emmasim [6.3K]

Answer:

Width = 11 yards

Length = 17 yards

Step-by-step explanation:

First of all, the length of the rectangle is 6 yards longer than the width, this means, length = width + 6 yards. This dimensions can be represented on figure 1, where <em>w</em> is width, and <em>l</em>, for length.

We know the area of a rectangle is A = width x length

For our case 187 = w . (w + 6)

Using the Distributive Property for the multiplication we obtain

187 = w^{2} +6w

w^{2} +6w-187 =0,

Using the quadratic formula w=\frac{-b\±\sqrt{b^{2}-4ac } }{2a} where a = 1, b = 6, c = - 187 and replacing into the formula, we will have:

w=\frac{-6\±\sqrt{6^2-4(1)(-187)} }{2(1)}

w=\frac{-6\±\sqrt{36+748} }{2}=\frac{-6\±\sqrt{784} }{2}=\frac{-6\±28}{2}

We have two options: w=\frac{-6+28}{2}=\frac{22}{2}=11  yards

Or

w=\frac{-6-28}{2}=\frac{-34}{2}=-17 yards But a distance (width) can not be negative so, this answer for w must be discarded.

The answer must be width = 11 yards.

To find the length l =\frac{187}{11}=17 yards

6 0
3 years ago
A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name draw
Tanzania [10]

Answer:

90

Step-by-step explanation:

A group of 10 people is choose a chairperson and vice-chairperson. They put all 10 peoples names into a bar. The first name drawn becomes chair. The second name drawn becomes vice-chair. How many possible combinations of chair and Vice-chair are there ?

This is calculated using the Permutation formula

nPr = n!/(n - r)!

Where:

n = 10 people

r = 2 = 2 positions to be filled , Chairman and Vice chairman

Hence:

10P2 = 10!/(10 - 2)!

= 90 ways

8 0
3 years ago
In ΔIJK, i = 11 inches, j = 65 inches and k=70 inches. Find the area of AIJK to the nearest square inch.
earnstyle [38]

Answer:

330

Step-by-step explanation:

3 0
3 years ago
KSI’s big forehead is 19cm by 14 cm, what is the perimeter of his big forehead. Also why is KSI’s forehead so big ?
Korvikt [17]

Answer:

All of the above.

I will take that 40 points :DDD

6 0
3 years ago
Read 2 more answers
A rectangular standing-only section at the venue changes size as t increases in order to manage the flow of people. Let x repres
Cloud [144]

Answer:3(2y-1)

Step-by-step explanation:

Given

Length is increasing at the rate of \dot{x}=6\ ft/s

Width is decreasing at the rate of \dot{y}=3\ ft/hr

Area is given by

A=xy

So rate of area is

\frac{dA}{dt}=x\frac{dy}{dt}+y\frac{dx}{dt}

\frac{dA}{dt}=x\times (-3)+y\times (6)

\frac{dA}{dt}=6y-3x

\frac{dA}{dt}=3(2y-1)

So, area is changing at the rate of 3(2y-1)

8 0
4 years ago
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