Jason designed an arch made of wrought iron for the top of a mall entrance. The 11 segments between the two concentric circles a
re each 1.25 m long. Find the total length of wrought iron used to make the structure. Round the answer to the nearest meter.
2 answers:
Answer:
57 m
Step-by-step explanation:
Diameter of the bigger semi-circle is 15 m
circumference of the bigger semi-circle = πd = 15π
diameter of the smaller semi-circle = 15 - 2(1.25) = 15 - 2.5 = 12.5 m
circumference of the smaller semi-circle = πd = 12.5π m
Total length of the segments between the two circles = 11(1.25) = 13.75 m
Total length of wrought iron used = 15π + 12.5π + 13.75 = 100 m
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Step-by-step explanation:
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x=-3 and y=3
(-3,3)
Answer:
(2, 3).
Step-by-step explanation:
3x+2y=12
6x+3y=21 Multiply the first equation by 3 and the second by 2:
9x + 6y = 36
12x + 6y = 42 Subtract:
-3x = -6
x = -6/-3 = 2.
Plug x = 2 into the first equation:
3(2) + 2y = 12
2y = 12 - 3(2)
2y = 6
y = 3.
7/5 = 14/10 = 28/20
Numerator = x
Denominator = x-4
Add 3 to both:
x +3 / (x-4+3)
x+3 = 14
(x-4 +3) = 10 = x-1 = 10
x = 11
Check:
11 -4 = 7 ( denominator is 4 less than the numerator.)
add 3 to both:
11+3 = 14
7+3 = 10
14/10 reduces to 7/5
The original fraction would be 11/7
