Is the square root of 1/4 a rational number
1 answer:
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Answer:
Length inches
Width inches
Step-by-step explanation:
Let = length of rectangle,
= width of rectangle
Given the area and the perimeter of the rectangle, we can write:
So:
Now, we can use substitution to find the value of :
(Quadratic equation)
∴
We can use substitution again to find the value of
∵ Length usually refers to the longer side of a rectangle, ∴ length inches and width
inches.
Hope this helps :)
<u>Answer:</u>
- a = 7.4
<u>Step-by-step explanation:</u>
<u>We can find 'a' through Pythagoras theorem.</u>
- => 8² = 3² + a²
- => 64 = 9 + a²
- => a² = 55
- => a = √55
- => a = 7.416 = 7.4
Hoped this helped.
By definition, the area of a circle is given by:
Where,
r: radius of the circle.
Substituting the values in the given expression, we have:
Rounding to the nearest tenth we have:
Answer:
Approximately needed:
Where,
r: radius of the circle.
Substituting the values in the given expression, we have:
Rounding to the nearest tenth we have:
Answer:
Approximately needed:
To complete the square, the second degree term must have a coefficient of 1.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.
Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.
Since the second degree term here has a coefficient of 4, we start by dividing each term on both sides by 4.
Now we can complete the square.
First, we need to find what number completes the square.
We take the coefficient of the first degree term, -7 in this case.
Divide it by 2 and square it. -7 divided by 2 is the fraction -7/2.
Now we square -7/2 to get 49/4.
We add 49/4 to both sides.