What is all the fractions that are greater than 4 1/2
1 answer:
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The ratio of the heights of these pyramids is 3 : 1, the ratio of the base areas is 9 : 1 and the ratio of the volumes is 27 : 1.
<h3>What is ratio?</h3>Ratio can be defined as a mathematical expression which denotes the proportion of two (2) or more physical quantities to one another and the total quantities.
The ratio of the heights of these pyramids is given by:
Ratio = Height of pyramid A : Height of pyramid B
Ratio = (3V/lw) : (V/lw)
Ratio = 3 : 1.
The ratio of the base areas of these pyramids is given by:
Ratio = Base area of pyramid A : Base area of pyramid B
Ratio = (3a)² : a²
Ratio = 9a : a
Ratio = 9 : 1.
The ratio of the volumes of these pyramids is given by:
Ratio = Volume of pyramid A : Volume of pyramid B
Ratio = (3l × 3w × 3h)/3 : (l × w × h)/3
Ratio = 27 : 1.
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Answer: The numbers are 7 and 5
Step-by-step explanation:
Let the first number be x and the second number be y.
From the first statement , it was said that one of the number is two more than the other , that is
x - y = 2 .................. equation 1
square of x is and the square of y is
, the difference between thier squares implies
-
= 24 .............. equation 2
solving the resulting simultaneous equations by substitution method:
From equation 1 , make x the subject of the formula , that is
x = 2 + y ............. equation 3
substitute equation 3 into equation 2 , we have
-
= 24
Expanding , we have
+ 4y + 4 -
= 24
4y + 4 = 24
Subtract 4 from both sides
4y = 20
y = 20/4
y = 5
substitute y = 5 into equation 3 , we have
x = 5+ 2
x = 7
Therefor the numbers are 7 and 5