The length of a cell phone is
1 answer:
Answer:
The width of new phone = 5.5 inches
Step-by-step explanation:
Given that:
Length of cell phone = 1.4 inches
Width of cell phone = 4.4 inches
Ratio of length to width = 1.4 : 4.4
Length of new version = 1.75 inches
Width of new version = x
Ratio of length to width = 1.75 : x
As the relation is proportional;
Product of mean = Product of extreme
4.4 * 1.75 = 1.4x
7.7 = 1.4x
1.4x = 7.7
Dividing both sides by 1.4
Hence,
The width of new phone = 5.5 inches
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</span><span>B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.
</span><span>C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like </span>
, you will end with a rational number: 
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</span><span>E.) square root of a is never rational
</span>This one is false. The square root of perfect squares are always rational numbers:
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,...
F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.
We can conclude that given that<span> a is a rational number and b be an irrational number, A, C, D, and F are true statements.</span>
This is a true statement. Since an irrational umber has a decimal part that is infinite and non-periodical, when you add a rational number to an irrational number, the result will have the same infinite non periodical decimal part, so the new number will be irrational as well.
</span><span>B.) The product of a and b is rational
This one is false. Zero is a rational number, and when you multiply an irrational number by zero, the result is always zero.
</span><span>C.) b^2 is sometimes rational
This one is true. When you square an irrational number that comes from a square root like </span>
<span>D.) a^2 is always rational
This one is false. If you square a rational number, you will always end with another rational number.
</span><span>E.) square root of a is never rational
</span>This one is false. The square root of perfect squares are always rational numbers:
F.) square root of b is never rational
This one is true. Since the square root of any non-perfect square number is irrational, and all the irrational numbers are non-perfect squares, the square root of an irrational number is always irrational.
We can conclude that given that<span> a is a rational number and b be an irrational number, A, C, D, and F are true statements.</span>
The answer will be in the picture
