Question # 22
Answer:
- 1/4 and 2/8 are equivalent.
- 3/4 and 6/8 are equivalent
- 8/8 and 4/4 are equivalent.
Step-by-step explanation:
- 1/4 and 2/8 are equivalent.
Reason: When you reduce 2/8 to the simplest form, it will reduce to 1/4.
Divide each nominator and denominator of the ratio 2/8 by 2.
- 3/4 and 6/8 are equivalent.
Reason: When you reduce 6/8 to the simplest form, it will reduce to 3/4.
Divide each nominator and denominator of the ratio 6/8 by 2.
- 8/8 and 4/4 are equivalent.
Reason: 8/8 can be reduced to 4/4 form if each nominator and denominator of 8/8 is divided by 2.
Please note: 4/4 can be further reduced to the simplest form 1/1, if each nominator and denominator of 4/4 is divided by 4.
<em>Keywords: ratio, equivalent ratio, fraction</em>
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The area of a triangle is calculated by the expression as follows:
Area = bh / 2
where b is the base and h is the height.
We can calculate the hypotenuse as follows:
210 = b(35) / 2
b = 12
hypotenuse = sqrt(35^2 + 12^2)
hypotenuse = 37 in
Answer: x = 4
Step-by-step explanation: To solve this equation, we could go right to our steps of subtracting 5.4 from both sides, but I would do a slightly different approach.
Since I hate working with decimals, I would get rid of them.
We can do this by multiplying both sides of the equation by 10, and remember to multiply every term by 10 to keep it balanced.
*Multiplying by 10 shifts the decimal point 1 place to the right
So we have 35x + 54 = 194 which looks a lot better.
Now subtract 54 from both sides to get 35x = 140.
Now divide both sides by 35 and x = 4.
Answer:Graphs of inverse functions have a domain and range just like any other graph of a function. The domain of an inverse function is the range of the original, and the range of an inverse function is the domain of an original.
Step-by-step explanation: