Answer:
14cm, 16 cm, 18 cm
Step-by-step explanation:
Note that
= a:b: c = 7:8:9
We have to find the sum of the proportion
Sum of proportion = 7 + 8 + 9
= 24
Length of side a
7/24 × 48 = 14 cm
Length of side b
8 /24 × 48 = 16cm
Length of side a
9/24 × 48 = 18 cm
What are the lengths of the sides?
The lengths of the sides of the triangle in cm are
14cm, 16 cm, 18 cm
We will form the equations for this problem:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
z = ? Monthly administration fee is notated with z, and that is the this problem's question.
Number of kilowatt hours of electricity used are numbers 1100 and 1500 respectively.
Cost per kilowatt hour is notated with y, but its value is not asked in this math problem, but we can calculate it anyway.
The problem becomes two equations with two unknowns, it is a system, and can be solved with method of replacement:
(1) 1100*y + z = 113
(2) 1500*y + z = 153
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(1) z = 113 - 1100*y [insert value of z (right side) into (2) equation instead of z]:
(2) 1500*y + (113 - 1100*y) = 153
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(1) z = 113 - 1100*y
(2) 1500*y + 113 - 1100*y = 153
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(1) z = 113 - 1100*y
(2) 400*y + 113 = 153
------------------------------------------------
(1) z = 113 - 1100*y
(2) 400*y = 153 - 113
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(1) z = 113 - 1100*y
(2) 400*y = 40
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(1) z = 113 - 1100*y
(2) y = 40/400
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(1) z = 113 - 1100*y
(2) y = 1/10
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if we insert the obtained value of y into (1) equation, we get the value of z:
(1) z = 113 - 1100*(1/10)
(1) z = 113 - 110
(1) z = 3 dollars is the monthly fee.
Is there more to the question?
The answer would be 20 degrees.
2*20
3*20
4*20
All triangles must three degrees that equals 180.
