1. The square on the inside is 8 x 8 = 64
2. The triangle's area is 8x9x1/2= 72 x 1/2 = 36
3. there are 4 triangles so 36 x 4 = (or 72 x 2 ) = 144 :)
The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then

Therefore, the height of the airplane above the tower is 1,819.85 feet.
Answer:
coordinates of its image
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Step-by-step explanation:
Reflect in y-axis means mirror it's points in the y -axis.
This means that the x coordinate of each point, changes only. Any mirrored point in the y-axis, will change only, by multiplying the x-coordinate by -1.
(Remember, zero multiplied by -1 remains 0).
Given are these points A, B, and C.
A = (4, -1)
B = (3,-3)
C = (0, 2)
After mirroring in the y- axis you get:
A' = ( -4, -1)
B' =( -3, -3)
C' = ( 0, 2)
Answer:
C) I only
Step-by-step explanation:
( -1, -2) and (0,4)
Slope:
m=(y2-y1)/(x2-x1)
m=(4+2)/(0+1)
m=6/1
m=6
Slope-intercept:
y - y1 = m(x - x1)
y + 2 = 6(x + 1)
y + 2 = 6x + 6
y = 6x + 4
y - 16 = 6(x - 2)
y - 16 = 6x - 12
y = 6x + 4
Answer:
y = 5cos(πx/4) +11
Step-by-step explanation:
The radius is 5 ft, so that will be the multiplier of the trig function.
The car starts at the top of the wheel, so the appropriate trig function is cosine, which is 1 (its maximum value) when its argument is zero.
The period is 8 seconds, so the argument of the cosine function will be 2π(x/8) = πx/4. This changes by 2π when x changes by 8.
The centerline of the wheel is the sum of the minimum and the radius, so is 6+5 = 11 ft. This is the offset of the scaled cosine function.
Putting that all together, you get
... y = 5cos(π/4x) + 11
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The answer selections don't seem to consistently identify the argument of the trig function properly. We assume that π/4(x) means (πx/4), where this product is the argument of the trig function.