So, each square on the grid is 10 inches in length and width
To find the dimension of the diagonal lengths, treat them like a hypotenuse so we can use the Pythagorean theorem.
a^2 + b^2 = c ^2
a and b are our length and width and c is the hypotenuse.
Make each diagonal length part of a triangle. There will then be 4 triangles to work with.
Triangle 1 (Top left)
Triangle 2 (Bottom left)
Triangle 3 (Top Right)
Triangle 4 (Bottom Right)
A right triangle made with the top left diagonal dimension will have a vertical dimension of 30 (10+10+10) and a horizontal dimension of 40 (10+10+10+10)
To find c or the hypotenuse, plug these into the Pythagorean theorem.
30^2 + 40^2 = c ^2
c^2 = 900 + 1600 = 2500
c = sqrt(2500) = 50
You will see that triangles 2, 3, and 4 have the same vertical and horizontal dimensions giving them the same value.
Now combine the dimensions
diagonal = 50+50+50+50 = 200
horizontal = 90+90 = 180
diagonal + horizontal = 380
Answer:
(2x+1) (x+4)
Explanation:
The idea is to break down the middle term into two monomials which can be used in the factorization process. Note that
2.4=8=8.1
, and that we may write 9=8+1
, which may help us in the process.
Let us write:
2x^2+9x+4
=2x^2+8x+x+4
=2x(x+4)+(+4)
=(2x+1)(x+4)
s=1/23
given equation in term of s is 12+3/2s-1/2-3/4s=5/4s
to solve this first we need to take LCM on left hand side and right hand side we can rewrite given equation as 12/1+3/2s-1/2-3/4s=5/4s now taking LCM of {1,2s,2,4s,4s} is 4s then the equation becomes 48s/4s+6/4s-2s/4s-3/4s=5/4s
(48s+6-2s-3) /4s=5/4s now cancel out denominator of both side we get 48s+6-2s-3=5 this implies 46s+3=5
46s=2
s=1/23
Hence the value of s is 1/23
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The answer obove me is scam. Justpeop tryning to get pints real andwe is 28374.
The local grocery store mixed 13 oz of planters mixed nuts with 19.5 oz of emerald mixed nuts to get 32.5 oz bags of mixed nuts that contain 56% peanuts.
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more numbers and variables.
Let x represent the amount of planters mixed nuts and y represent the amount of emerald mixed nuts, hence:
x + y = 32.5 (1)
Also:
0.5x + 0.6y = 0.56(32.5) (2)
From both equations:
x = 13, y = 19.5
The local grocery store mixed 13 oz of planters mixed nuts with 19.5 oz of emerald mixed nuts to get 32.5 oz bags of mixed nuts that contain 56% peanuts.
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