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>
Answer:
the range of this function is [-7, 2) (Answer A)
Step-by-step explanation:
The "range" of this function is the list of all values that the function can take on according to the rule shown in the graph. The smallest such value (the smallest y-value) is -7, obtained when x = -2. The largest is just less than 2; we know this because there is an empty circle at (1, 2) instead of a shaded circle.
Thus, the range of this function is [-7, 2)
Answer:
Ans; (657.3÷10)-(94.5÷5) = 65.73 – 18.9 = 46.83
I hope I helped you^_^
Step-by-step explanation:
Perimeter of the parallelogram =2(l+b)
Length =3x and Breadth = 2x
So,
2(3x+2x)=70cm
2*5x=70cm
5x=70 divided by 2,35
5x=35
x= 35 divided by 5, 7
X=7cm.
Length =3x=3*7=21cm
Breadth =2x=2*7=14cm
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