Answer:
3 in wide by 4.5 in long.
Step-by-step explanation:
3/4=0.75
I divided the given dimensions by two, so I could multiply .75 by the sets of twos instead of dividing 3/4 by two and multiplying that by 12 and 8.
.74 x 4 = 3
.75 x 6 = 4.5
Answer:
The solution of the system of equations shown in the graph is (2,0)
Step-by-step explanation:
It's easy
You just look for the point of intersections the lines make.
The point is on the number 2 on the x axis, and number 0 on the y axis. Therefore its (2,0).
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Answer:
A. Perpendicular Lines
B. Circle
C. Angle
D. Plane
E. Parallel Lines
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Step-by-step explanation:
Using the law of sins:
X/ sin(44) = 4510/sin(180-44-36)
x / sin(44) = 4510 / sin(100)
x = 3,181 yards.
Write the left side of the given expression as N/D, where
N = sinA - sin3A + sin5A - sin7A
D = cosA - cos3A - cos5A + cos7A
Therefore we want to show that N/D = cot2A.
We shall use these identities:
sin x - sin y = 2cos((x+y)/2)*sin((x-y)/2)
cos x - cos y = -2sin((x+y)/2)*sin((x-y)2)
N = -(sin7A - sinA) + sin5A - sin3A
= -2cos4A*sin3A + 2cos4A*sinA
= 2cos4A(sinA - sin3A)
= 2cos4A*2cos(2A)sin(-A)
= -4cos4A*cos2A*sinA
D = cos7A + cosA - (cos5A + cos3A)
= 2cos4A*cos3A - 2cos4A*cosA
= 2cos4A(cos3A - cosA)
= 2cos4A*(-2)sin2A*sinA
= -4cos4A*sin2A*sinA
Therefore
N/D = [-4cos4A*cos2A*sinA]/[-4cos4A*sin2A*sinA]
= cos2A/sin2A
= cot2A
This verifies the identity.
