Question 11 Multiple Choice Worth 5 points)
1 answer:
The approximate length of the diagonal of the rectangle IS 7.21 unit , Option D is the correct answer.
<h3>What is a Rectangle ?</h3>A rectangle is a polygon with four sides and opposite sides parallel and equal , all the angles measure to 90 degree.
The diagonal of a rectangle divides it into two right angled triangle
The length of the rectangle is 6 units
The breadth of the rectangle is 4 units
The diagonal length will be equal to the hypotenuse of the triangle of side 4 and 6 units
By Pythagoras theorem
the length of the diagonal =
7.21 unit
The approximate length of the diagonal of the rectangle IS 7.21 unit , Option D is the correct answer.
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Given:
The volume of the rectangular prism is
,
the height is h=(b+3)
1. The volume of a rectangular prism is (base area)*height
also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be
2
notice that
is the product of the largest 2 terms: 
and b, so m must be 1
also, notice that 12 is the product of the constants, k and 3
so k*3=12, this means k=4
3
we write the above equality again:
=
4
now compare the coefficient with the left side:
8=n+3
n=5
substituting n=5:
the base area is
Answer:
The volume of the rectangular prism is
the height is h=(b+3)
1. The volume of a rectangular prism is (base area)*height
also, notice that the volume is a third degree polynomial, the height is a 1st degree polynomial, so the base area must be a 2nd degree polynomial, whose coefficients we don't know yet.
Let this quadratic polynomial be
2
notice that
also, notice that 12 is the product of the constants, k and 3
so k*3=12, this means k=4
3
we write the above equality again:
=
4
now compare the coefficient with the left side:
8=n+3
n=5
substituting n=5:
the base area is
Answer: