Geometry Sammie bought just enough fencing to bordereither a rectangular plot or a square plot, as shown. perimetersof the plots
are the same. How many meters offencing did she buy?r ru on Higher Order Thinking2) meters(x meters(3x t meters.(x 1) meters
2 answers:
Answer:
Length of the fencing is 14 meters.
Step-by-step explanation:
Sammie bought just enough fencing to border either a rectangular or a square plot given in the question.
That means perimeter (length of fencing) of both the figures will be same.
Perimeter of square = 4×side
= 4(x + 2) meters
Perimeter of the rectangle = 2(length + width)
= 2[(3x + 2) + (x - 1)]
= 2[3x + x + 2 - 1]
= 2[4x + 1]
Since perimeter of both figures are same so
2(4x + 1) = 4(x + 2)
8x + 2 = 4x + 8
8x - 4x = 8 - 2
4x = 6
x =
x = 1.5 meters
Therefore, length of the fence = perimeter of the square
= 4(x + 2)
= 4( 1.5 + 2)
= 4×3.5
= 14 meters
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Answer:
a)%85,5
b)%92,2
Step-by-step explanation:
a) To determine the probability of getting a hand with at least one face, we need to calculate the probability of the hand without any face firstly.
Then, we need to deduct this value from the probability 1
The probability of the hand with at least one face is %85,5.
b)To determine the probability of a hand with at least one ace and face we will track the same road again.
Then, we need to deduct this value from the probability 1
The probability of the hand with at least one ace and one face is %92,2.
We need to use rational root theorem to find out roots here.
The rational root theorem states that if p(x) is a polynomial with integer coefficients and if is a zero of p(x) then p is a factor of constant term and q is a factor of leasing term coefficient.
Here factors of constant term are 1,2,3,4,6,8,12,24,-1,-2,-3,-4,-6,-8,-12, and -24.
And factors of leading coefficient is -1,1.
Hence possible roots may be -1,1,-2,2,-3,3,-4,4,-6,6,-8,8,-12,12,-24 and 24.
Let us plugin these in f(x) to find zeroes.
Hence x=-1 is a zero which means x-(-1)=x+1 is a factor.
Let us use synthetic division to find quotient.
-1 | 1 10 35 50 24
<u>| 0 -1 -9 -26 -24</u>
<u> 1 9 26 24 0</u>
Hence quotient is
Since all coefficients are positive, root must be negative. Let's plugin all remaining negative numbers in the quotient.
Hence x+2 is another factor.
Let us find quotient again using synthetic division.
-2 | 1 9 26 24
<u>| 0 -2 -14 -24</u>
<u> 1 7 12 0</u>
Hence quotient is
Again we got quotient with all positive coefficients, let us plugin remaining negative numbers from rational root theorem.
Hence x+3 is also a factor.
Let us find quotient using synthetic division.
-3 | 1 7 12
<u>| 0 -3 -12</u>
<u> 1 4 0</u>
Hence quotient is x+4.
So,
Please have a look at the graph attached.
