Answer: The length of AC is 18 ft.
Step-by-step explanation:
By the given diagram,
AM = MB and CN = NB
M and N are the mid points of the sides AB and CB respectively,
Thus, by the mid point theorem,
MN ║ AC,
By the alternative interior angle theorem,
∠BMN ≅ ∠BAC
∠BNM ≅ ∠BCA
Thus, by AA similarity postulate,
ΔBMN ≅ ΔBAC
By the property of similar triangles,
Thus, The length of AC is 18 ft.
Answer:
r = √( s/4π)
Step-by-step explanation:
s = 4πr²
s/4π = 4πr²/4π
r² = s/4π
√(r²) =+/-√( s/4π)
r = √( s/4π) Because r is a radius of the circle , it should be positive.
Answer:
{- 5, - 4, 2 }
Step-by-step explanation:
the range is the corresponding values of y ( output) from the given set in ascending order without repeats
Answer:
3/5
Step-by-step explanation:
5x= 3
x= 3/5
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That means multiplying the two fractions, but to do so, lets first convert the whole part to fraction as well, and remember that to multiply fractions you multiply numerator times numerator and denominator times denominator as well:
1 3/4 = 1 + 3/4 = 4/4 + 3/4 = 7/4
150 1/2 = 150 + 1/2 = 300/2 + 1/2 = 301/2
therefore:
<span>1 3/4 of 150 1/2
</span><span>= (1 3/4)(150 1/2)
= (7/4)(301/2)
= (7*301)/(4*2)
= 2107/8
that is the result</span>
