Answer:
Step-by-step explanation:
Consider irght triangle PRS. By the Pythagorean theorem,
Thus,
Consider isosceles triangle MSC. In this triangle
The area of this triangle is
Consider right triangle PTS. The area of this triangle is
The area of the quadrilateral PMCT is the difference in area of triangles PTS and MSC:
The answer to this question would be 4
Answer:
9 : 2 : 4
Step-by-step explanation:
Given
72 : 16 : 32 ( divide each part of the ratio by 8, the LCM of 72, 16, 32 )
= 9 : 2 : 4
The answer is (-∞.∞).
Draw out a number line. Plot 0 and -4 on the number line.
Shade to the left of x = 0, and have a filled in circle at the endpoint. This is the graph of x≤0
Then graph x ≥−4 by plotting a filled in circle at -4, and shading to the right.
Note how the two graphs overlap to cover the entire real number line
So if we have x≤0 or x≥−4 then we're basically saying x is any real number. To write this in interval notation, we write (−∞,∞)
This is the interval from negative infinity to positive infinity (or just infinity). We exclude each endpoint because we can't actually reach infinity itself. Infinity is not a number. Infinity is a concept
Side note: if you change the "or" to "and", then the solution to x≤0 and x≥−4 would be [-4, 0][−4,0] to indicate the interval from x = -4 to x = 0, including both endpoints. This is the region where the two graphs overlap.
To know more about graphs
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SPJ9
Answer:
51.84 centimeters
Step-by-step explanation:
