Width = 23cm, length = 9cm
A rectangle's Area = Length * width
Area = 9 cm * 23 cm = 207 cm²
Area = 207 cm²
Well, assuming 5mm is the diameter, then 2.5 mm is the radius.
Supplementary angles are angles that are adjacent to each other and when summed to get a total of 180 degrees. In this case, DEF and FEG are supplementary. Thus the equation is <span>9x +1 + 8x + 9 = 180 = 17 x + 10; x then is equal to 10 so
<</span>DEF = <span>9*10 +1 =91 degrees
</span><FEG = <span>8*10 + 9 = 89 degrees</span>
<span>Are the lines in the diagram perpendicular, parallel, skew, or none of these?
l and m: neither
l and m intersect, but are not perpendicular.
l and n: skew
l and n are not parallel, but they do not intersect because they are not on the same plane.
m and n: perpendicular.
m and n intersect at a right angle</span>
Answer:
c) parabola and circle: 0, 1, 2, 3, 4 times
d) parabola and hyperbola: 1, 2, 3 times
Step-by-step explanation:
c. A parabola can miss a circle, be tangent to it in 1 or 2 places, intersect it 2 places and be tangent at a 3rd, or intersect in 4 places.
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d. A parabola must intersect a hyperbola in at least one place, but cannot intersect in more than 3 places. If the parabola is tangent to the hyperbola, the number of intersections will be 2.
If the parabola or the hyperbola are "off-axis", then the number of intersections may be 0 or 4 as well. Those cases seem to be excluded in this problem statement.