Use the sine rule.
For any triangle: sin(a) / A = sin(b) / B = sin(c) /C
Where A is the side opposed to angle a, B is the side opposed to angle b, and C is the side opposed to angle c.
Here, sin(B) / AC = sin(A) / BC = sin (C) / AB
<span> BC = 12.35, AC = 8.75 centimeters, and m∠B = 37°
sin(37) / 8.75 = sin(A) / 12.35 => sin (A) = 12.35 * sin(37) / 8.75
sin(A) = 0.845 = A = arctan(0.845) = 58.15°
And A + B + C = 180° => C = 180 - A - B = 180 - 58.15 - 37 = 84.85
Answer:
measure of angle A = 58.15°
measure of angle C = 84.85 °
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Answer: Option c. D: all real numbers R: (y ≥ 8.75)
Solution:
y=x^2+x+9
Domain: all real numbers = ( - Infinite, Infinite)
y=ax^2+bx+c
a=1 > 0, the parabola opens upward: Range: y ≥k
b=1
c=9
Vertex: V=(h,k)
h=-b/(2a)
h=-1/(2(1))
h=-1/2
h=-0.5
k=y=h^2+h+9
k=(-0.5)^2+(-0.5)+9
k=0.25-0.5+9
k=8.75
Range: y≥k
Range: y≥8.75
Answer:
30 > x
Step-by-step explanation:
-13 > x-43
Add 43 to each side
-13+43 > x-43+43
30 > x
7-x since 49 - x² is (7-x)(7+x) therefore the length is 7-x
Answer:
462
Step-by-step explanation: