We know that
√1800-----> √[2³*3²*5²]----> (√2*√2*√2)*(√3*√3)*(√5*√5)
using the table
√2=1.41421
√3=1.73205
√5=2.23606
then
(√2*√2*√2)*(√3*√3)*(√5*√5)=(√2)³*(√3)²*(√5)²
=(1.41421)³*(1.73205)²*(2.23606)²
=2.83*3*5
=42.45
the answer is
42.45
Let`s assume that points M, N and P are the touching points of those 3 circles:Then:Y M + M Z = 14,Z N + N X = 20X P + P Y = 18And also: M Z = ZN, Y M = P Y and N X = X P.Now we have a system of 3 equations ( Y M, M Z and X P are the radii of each circle ):Y M + M Z = 14M Z + X P = 20X P + Y M = 18 Y M - M Z = - 14+X P + Y M = 18 X P - M Z = 4Y M - M Z = - 14+M Z + X P = 20 X P - Y M = 6 /* ( - 1 )X P - M Z = 4 X P + Y M = - 6 X P - M Z = 4 Y M - M Z = - 2 Y M + M Z = 14 2 Y M = 12 => Y M = 6M Z - 6 = 2 => M Z = 8X P + 6 = 18
X P = 12
Radii of the circles are: 12, 8 and 6.
Here we don't know the length of the hypo, but do have measures of both legs of this right triangle: x and 40 yd.
Use the tangent function to determine the value of x:
x
--------- = tan 62 degrees. Solving for x: x = (40 yd)(tan 62 deg).
40 yd can you evaluate this yourself?
By Pythagoras Theorem,
Height of Triangle = (1.7^2-1^2)^0.5 = (1.89)^0.5= 1.37 in
Area of one triangle = 1.374772708* 2*0.5= 1.374772708in^2
area of polygon = 5*1.374772708in^2=6.87in^2 = 6.9in^2
answer is b
Answer:
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Step-by-step explanation: