A rectangle has a length of 8 and a width of x. Write a variable expression for the perimeter of the rectangle
1 answer:
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Answer:
The correct option is (A) No real solution.
Step-by-step explanation:
The expression provided is a quadratic equation.
The roots of a quadratic equation are:
Here,
a = 8
b = -10
c = 15
The conditions to determine real and complex roots are:
- If
then the quadratic equation has two complex roots.
- If
then the quadratic equation has two real roots.
Compute the value of as follows:
The equation has two complex roots.
Thus, the correct option is (A).
The length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft
<h3>What is Pythagoras theorem?</h3>According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the base and perpendicular. Mathematically, we can write -
h² = p² + b²
Given is the installation of wheelchair ramp such that the ramp should have a base of 12 ft and height of 1 ft long.
[A]
From the data given, we can consider the ramp construction as right angled triangle. We can write -
base [b] = 12 ft
height [p] = 1 ft
Using the Pythagoras theorem -
h² = (12 x 12) + (1 x 1)
h² = 144 + 1
h = √145
h = 12.0415
[B]
For estimating the length of the incline, we will round it off to the exact value. The rounding of length for zero digits after decimal will give the desired result as 12 ft
Therefore, the exact length of the incline of the ramp will be [h] = 12.0415 ft. The estimated length of the incline would be - 12ft
To solve more questions on Pythagoras theorem, visit the link below-
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[ This answer is the answer of part B of the question whose part A is attached with the answer.]
