4/9 is it equivalent to 20/36
2 answers:
Answer: No
Step-by-step explanation: In order to decide whether the given fractions are equivalent, first write each fraction in lowest terms.
A fraction is written in lowest terms if the greatest common factor of the numerator and the denominator is 1.
So for our first fraction, 4/9, since the greatest common factor of 4 and 9 is 1, we know that are fraction is already written in lowest terms.
For our second fraction however, since the greatest common factor of 20 and 36 is 4, we must divide both the numerator and the denominator by 4 to write our fraction in lowest terms. This gives us 5/9.
Since 5/9 is bigger than 4/9, te fractions are not equivalent so no, 4/9 is not equivalent to 20/36.
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Answer:
The new volume of the pyramid would be cut in half.
Step-by-step explanation:
from the equation of the volume of the pyramid
where is l length and w is width and h is height.
substituting that l1 = 1/2 , and w1 = w/2 and h1 = 2h,
we will end up with half of the original volume.
The final result would be , which is half as small.
Answer:
m = 3, n = 6
Step-by-step explanation:
The hypotenuse leg (HL) theorem states that two triangles are said to be similar if one leg and the hypotenuse of the triangles are congruent.
From the diagram, comparing the hypotenuse of the triangles;
4m + 1 = 13
4m = 13 - 1
= 12
m =
= 3
m = 3
Also, comparing the sides;
2m + n = 8m - 2n
substitute the value of m to have,
6 + n = 24 - 2n
collect like terms,
n + 2n = 24 - 6
3n = 18
n =
= 6
n = 6
m = 3, n = 6