To solve, simply layout and equation.
3/6*2/6.
Step 1: Simply 3/6.
1/2*2/6
Step 2: Simplify 2/6.
1/2*1/3
Step 3: Multiply.
1/2*1/3
1/6.
So, the answer to this problem is 1/6.
Answer:
<u>2/5 < 5/8 < 6/7 < 1 </u>
<u>OR</u>
<u>1 > 6/7 > 5/8 > 2/5</u>
Step-by-step explanation:
It is required to compare Two-fifths, Six-sevenths, Five-eighths, and 1
Two-fifths = 2/5
Six-sevenths = 6/7
Five-eighths = 5/8
So, the given numbers are: 2/5, 6/7, 5/8, and 1
We need to make the numbers in order from the least to the greatest or from the greatest to the least
The easy method is convert the rational numbers to decimal numbers
So,
2/5 = 0.4
6/7 ≈ 0.857
5/8 = 0.625
1 = 1
So, the numbers form the least to the greatest are:
0.4 , 0.625 , 0.857 , 1
So,
2/5 , 5/8 , 6/7 , 1
The inequality correctly compares the numbers are:
<u>2/5 < 5/8 < 6/7 < 1</u>
Or can be written from the greatest to the least as:
<u>1 > 6/7 > 5/8 > 2/5 </u>
Answer:
The height of the equilateral triangle is 24 units
Step-by-step explanation:
In the question above, the unit of the side of the equilateral triangle is not given. If the complete question is:
Triangle MNO is an equilateral triangle with sides measuring 16 square root of 3 units, then the length of each side is 16√3 units.
To find the height of the triangle, we use Pythagoras theorem
MP^2 + PO^2 = MO^2
Let MP^2 be x
x^2 + {(16√3)/2}^2 = (16√3)^2
X^2 + (256*3)/4 = 256*3
4x^2 + 768 = 768* 4
4x^2 + 768 = 3072
4x^2 = 3072-768
4x^2 = 2304
X^2 = 2304/4
X^2 = 576
x= √576
x = 24 units
Answer:
37.5%
Step-by-step explanation:
72-45=27
27/72=x/100
2700/72=x
x=37.5
37.5%