Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 140.
1 answer:
Given:
Length of the rectangle =
Width of the rectangle =
The perimeter of the rectangle is less than 140.
To find:
The inequality for the given situation and solve it.
Solution:
We have,
We know that, the perimeter of a rectangle is
It is given that the perimeter of the rectangle is less than 140.
Divide both sides by 4.
Therefore, the correct option is A because the sign of inequality is < and the solution of inequality is .
You might be interested in
Identify the vertex, axis of symmetry, minimum or maximum, domain, and range of the function ()=−(+)^−
<em><u>Answer:</u></em>
vertex = (-4, -5)
Axis of symmetry = -4
use the (-4, -5) to find the minimum value
<em><u>Solution:</u></em>
Given function is:
The equation in vertex form is given as:
Where, (h, k) is constant
On comparing give function with vertex form,
h = -4
k = -5
Vertex is (-4 , -5)
Axis of symmetry : x co-ordinate of vertex
Thus, axis of symmetry = -4
The coefficient of x^2 is positive in given function.
Thus the vertex point will be a minimum
On comparing,
a = 1
b = 8
Thus, use the (-4, -5) to find the minimum value
Domain and range
The domain is the input values shown on the x-axis
The range is the set of possible output values f(x)
Therefore,
Answer:
57.5 degrees
Step-by-step explanation:
Assuming this is a triangle
a is adjacent is ∠B
b is opposite of ∠B
Use the inverse tangent equation:
This equals to 57.52880771