Yes, it can be shown as 4/15.
Answer:
Two equal sides = 14.4 inches each
Shortest side = 7.2 inches
Step-by-step explanation:
a + b + c = 36
a = b
a = 2c
then:
c = a/2
a + a + a/2 = 36
2a + a/2 = 36
4a/2 + a/2 = 36
5a/2 = 36
a = 2*36/5
a = 72/5
a = 14.4
a = 2c
14.4 = 2*c
c = 14.4/2
c = 7.2
a = b
b = 14.4
Check:
14.4 + 14.4 + 7.2 = 36
The altitude to the hypotenuse of a right triangle is the mean proportional between the segments into which it divides the hypotenuse ⇒<span>
</span>altitude = √(9*3) = √27
<span>By the Pythagorean theorem:
y = </span>√(9² + (√27)²) = √(81+27) = √108 = 6√3 ← answer
Answer/Step-by-step explanation:
Factor this. GCF=2
2(2cos2x+cos x-1)=0
2(2cos x -1)(cos x+1)=0 Set each factor equal to zero and solve
2cos x -1=0 Add 1 to both sides
2cos x =1 Divide by 2
cos x =1/2
x=π/3
x=5π/3
cos x+1=0 Subtract 1 from both sides
cos x=-1
<u><em>x = π</em></u>
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