Answer: I think its 63−332+45−6
Step-by-step explanation:
If the length of side of base is 14 inches and height is 6 inches of pyramid a then the volume of pyramid a is 12.5% of pyramid b and volume of pyramid a is 8 times bigger than volume of pyramid b.
Given the length of side of base of pyramid a is 14 inches , height of pyramid a is 6 inches and volume of pyramid b is 3136 cubic inches.
We have to determine the percentage and number of times that volume of b is bigger than volume of pyramid b.
Volume of a square pyramid=base area * height/3
Base area = Side * side
=14*14
=196 inches square.
Volume of pyramid a =196*6/3
=392 cubic inches.
Percentage=Volume of pyramid a / volume of pyramid b*100
=392/3136*100
=12.5%
Let the number of times be x.
So,
392*x=3136
x=3136/392
=8 times.
Hence the volume of pyramid b is 8 times bigger than volume of pyramid a and the percentage is 12.5%.
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Answer:
X=10, Y=20,Z=80
Step-by-step explanation:
We are given that the numbers X,Y and Z are in the ratio 1:2:8
Let the numbers be:
X=x
Y=2x
Z=8x
Now we are given that 40 is subtracted from Z such that the numbers X,Y,Z-40 form a geometric sequence.
that means x,2x,8x-40 forms a geometric sequence.
Also if a,b,c are in geometric progression then they have same common ratio.
i.e.
Hence, the number X =10
Y=2×10=20
Z=8×10=80
Answer:
iii) Use algebraic methods
Step-by-step explanation:
There are various method of finding an accurate solution to a system of linear equations.
They are i) graphing method: ii) algebraic method: iii) Matrices method:
iv) determinant method: v) guess method vi) Cramer's rule etc
Guess and check is not reliable because guess is possible only for integers or numbers with 1 or 2 decimals. SOmetimes guess may give unreliable results. And every time after the guess, checking and verifying will be time consuming and laborious
Graphing the lines may be accurate but writing tables for each line, choosing scales and drawing lines to find points of intersection may be time consuming.
Algebraic methods using are easy to understand, reliable, and less time consuming but 100% accuracy. There are a number of ways in algebraic method also such as substitution, elimination or cross multiplication, etc
Thus option iii) is right