Well. Let's call α the 120° angle, and β its supplementary angle (80°). Let's draw also the height of the triangle. We'll call it CH. We know, from goniometric relations, that BC * sinβ = CH and BC * cosβ = BH. We just apply the pythagorean theorem so we get: AC = By inserting all the values you'll get the result.
Answer from: Quest
answer: a) (0,0), (1,1), (2,8), and (3,27).
step-by-step explanation:
0^3=0
1^3=1
2^3=8
3^3=27
in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )
Answer from: Quest
the graph in the attached figure
step-by-step explanation:
we have
using a graphing tool
the graph in the attached figure
the roots are ( x-intercepts) x=-0.5,x=1,x=3
the y-intercept is the point (0,3)
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At wind speeds above 1000 centimeters per second (cm/sec), significant sand-moving events begin to occur. wind speeds below 1000 cm/sec deposit sand and wind speeds above 1000 cm/sec move sand to new locations. the cyclic nature of wind and moving sand determines the shape and location of large dunes. at a test site, the prevailing direction of the wind did not change noticeably. however, the velocity did change. fifty-nine wind speed readings gave an average velocity of x = 1075 cm/sec. based on long-term experience, σ can be assumed to be 245 cm/sec. (a) find a 95% confidence interval for the population mean wind speed at this site. (round your answers to the nearest whole number.) lower limit cm/sec upper limit cm/sec
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