Step-by-step explanation:
the domain is the interval or set of all valid x-values for the function.
and the range is the interval or set of all valid y-values (functional result values) for the function.
so, we can see here that the function would create results for all x in (- infinity, + infinity). that is the domain.
now, what result values (y-values) are possible ?
we see, that the smallest functional value is y = -2.
and from there all y-values up to +infinity are possible.
so, the range is [-2, +infinity).
please consider the chosen brackets. the "[" means the value is included in the function, a "(" means that that particular interval end value is excluded. anything bigger or smaller might be valid but not this one value.
and infinity is not a value. hence they are not included in such intervals.
Answer:
942.48
Step-by-step explanation:
5 squared times 12=300 times pi=volume
9514 1404 393
Answer:
16.9
Step-by-step explanation:
The marked sides are the hypotenuse and the one opposite the angle. The relevant trig function is ...
Sin = Opposite/Hypotenuse
Multiplying by the hypotenuse gives an equation for the opposite side.
x = 22·sin(50°)
x ≈ 16.9
Answer:
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55 degrees
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Step-by-step explanation:
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In the initial position, the angle of elevation of the 20 meter building to your feet is 45 degrees, that means that you are at 20 meters from the building (thus forming an isosceles triangle with with the building, with internal angles 456 degrees, 90 degrees, and 45 degrees.
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When you walk 6 meters towards the building, you are now at 14 meters from it. Therefore you need to examine now another triangle where the angle is unknown but for which you know the opposite side (20 meters of the building's height), and the adjacent side (14 meters of your distance to the building). See image attached for more clarity on the picture you need to study.
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The tangent of this new angle is defined as opposite side divided by adjacent (opp/adj) which in our case renders 20/14 = 10/7
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So to find the angle, we need to apply the arctangent function to this value.
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Therefore:
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<em>new angle = arctan(10/7) = 55 degrees</em>
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Ivan would use 5 yards of green felt and 4 yards of blue felt.
