Need help!! algebra!!!
1 answer:
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Answer:
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
Step-by-step explanation:
Let
x ----> the number of nickel's coin
y ---> the number of dime's coin
z ---> the number of quarter's coin
Remember that
we know that
----> equation A
----> equation B
----> equation C
substitute equation C in equation A and equation B
---> equation A1
-----> equation B1
Solve the system of equations A1 and B1 by graphing
Remember that the solution is the intersection point both graphs
The solution is the point (75,35)
see the attached figure
so
z=75, y=35
<em>Find the value of x</em>
therefore
The number of nickel's coin is 150
The number of dime's coin is 35
The number of quarter's coin is 75
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.
Step-by-step explanation:
The given is,
Volume of aluminium available is 1000 cubic centimeters
Shape of trophy is right square pyramid
Trophy has a base edge of 10 cm and slant height of 13 cm
Step:1
Formula for volume of right square pyramid,
.....................................(1)
Where, a - Base edge value
h - Height of pyramid
From given,
a = 10 cm
h = 13 cm
Equation (1) becomes,
Volume of trophy = 433.33 cubic centimeters
Compare with the volume of available aluminium and volume of right square pyramid,
So, the given volume of aluminium is enough to make right square pyramid shaped trophy.
Result:
The 1000 cubic centimeters of aluminium is enough for aluminium a trophy that will be in the shape of a right square pyramid and has a base edge of 10 cm and a slant height of 13 cm.