Randomly selecting someone who is over 45 years or over
1 answer:
"45 years or over" includes all of the age groups "45-64", "65-74", and "75 or over". These age groups are disjoint (no individual can belong to more than one group), so the probability of picking someone that's at least of 45 years of age is the sum of the probabilities that a person belongs to any one of these groups. That would be
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For non-right triangles you must use the "Law of Cosines" and then, the "Law of Sines" to solve this<span>.
a= </span> 8.25m<span>
b=</span> 10.4m<span>
c= </span>3.16m
∠<span>A= UNKNOWN
</span>∠<span>B= UNKNOWN
</span>∠<span>C=UNKNOWN
Law of Cosines:
c</span>²= a²+b²-2abCos(C)
(3.16)²= (8.25)²+(10.4)²- 2(8.25)(10.4)(cos(C))
9.9856 = 68.0625 + (108.16) - (171.6)(cos(C)
9.9856 = 176.2225- 171.6 cos C
-166.2369= - (171.6(cosC))
cosC= 0.968746503
<span>Take the inverse cosine of that to get the measure of angle C
</span>∠C= 15.95813246°
<span>
Now Use law of sines to find </span>∠B:
(take the inverse sine to get the measure of ∠B)
∠B= 60.8040992°
<span>
Answer:
The angle measures approximately 60.80</span>°.<span>
</span>
a= </span> 8.25m<span>
b=</span> 10.4m<span>
c= </span>3.16m
∠<span>A= UNKNOWN
</span>∠<span>B= UNKNOWN
</span>∠<span>C=UNKNOWN
Law of Cosines:
c</span>²= a²+b²-2abCos(C)
(3.16)²= (8.25)²+(10.4)²- 2(8.25)(10.4)(cos(C))
9.9856 = 68.0625 + (108.16) - (171.6)(cos(C)
9.9856 = 176.2225- 171.6 cos C
-166.2369= - (171.6(cosC))
cosC= 0.968746503
<span>Take the inverse cosine of that to get the measure of angle C
</span>∠C= 15.95813246°
<span>
Now Use law of sines to find </span>∠B:
(take the inverse sine to get the measure of ∠B)
∠B= 60.8040992°
<span>
Answer:
The angle measures approximately 60.80</span>°.<span>
</span>