Answer:

Step-by-step explanation:
To rationalize the denominator, you need to multiply the numerator and denominator by the radical in the denominator (aka. a factor of 1):




Answer:79
Step-by-step explanation:
180-(45+56)=79
B) No, set of side lengths does not satisfy Triangle Inequality Theorem
The dimensions of the rectangles to the nearest hundredth are
- length = 13.56 inches
- width = 3.39 inches
<h3>What is a rectangle?</h3>
A rectangle is four sided plane figure which each pair of sides equal and opposite to each other. The sides intersect at an angle of 90 degrees.
<u>Given data</u>
Area of the rectangle = 46 square inches
length L = 4 * width W
area of a rectangle, A
A = L * W
46 = L * W
46 = 4w * w
46 = 4w^2
w^2 = 11.5
w = sqrt ( 11.5 )
w = 3.391 inches
w = 3.39 to the nearest hundredth
since L = 4w
L = 4 * 3.391
L = 13.564
L = 13.56 to the nearest hundredth
Read more on areas of rectangles here: brainly.com/question/2607596
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To solve for P(QIR) we use the formula:
P(QIR)=[P(Q∩R)]/P(R)
But from the diagram:
P(Q∩R)=3/22
P(R)=7/22
hence
P(QIR)=3/22÷7/22=3/7