Answer:
3
Step-by-step explanation:
g(x) = x² + 2x+4
h(x) = -3x+2
(g*h)(1) is the same as
g(h(1)) , next solve for h(1) first by substituting in h(x), x with 1
g( h( x= 1)) = g( -3*1 +2) = g( -1) so substitute in g(x) , x with -1
g(x= -1) = (-1)² +2(-1) +4 =1-2+4 =3
Answer: 102 copies
Step-by-step explanation:
4 minutes and 15 seconds are 4.25 minutes, so it will make 102 copies in that time
Answer:
the segment bisector is MN
Answer:
A ≈ 530 cm²
Step-by-step explanation:
The swept area equals the total area covered by the blade minus the unswept area.
The area of a sector with radius r and angle θ is:
A = (θ / 360) πr²
So the swept area is:
A = (θ / 360) πR² − (θ / 360) πr²
A = (θ / 360) π (R² − r²)
A = (150 / 360) π (21² − 6²)
A ≈ 530 cm²
Use the Cosine Rule to find this
cos <B = [b^2 - a^2 - c^2] / -2ac
= [ 4^2 - 10^2 - 11^2] / -2*10*11
= 0.93182
so m < B = 21.3 degrees to nearest tenth. Answer