Hello there!
"Compare the fraction 3/5 to 1/2 and then compare 2/6 to 1/2. Use symbols in your answer"
To make this easier, we will make it so that both fractions in each pair has like bases.
To make 3/5 and 1/2 have a like base, we must make the denominators 10. To do this, we will do the following:
(3*2)/(5*2) = 6/10
(1*5)/(2*5) = 5/10
Now we can easily compare and not worry about the denominator
So, let's just look at the numerators.
Which is greater, 5 or 6? We know 6 is greater, so:
6/10 > 5/10
That means:
3/5 > 1/2
Now, we must do the same for 2/6 and 1/2
We will make them both 6. So, we can leave 2/6 alone
2/6
(1*3)/(2*3) = 3/6
Now we have 2/6 and 3/6
Which is greater, 3 or 2. The answer to that is 2. So:
3/6 > 2/6
This means that 1/2 > 2/6
Our answers are:
1. 3/6 > 2/6
2. 1/2 > 2/6
I hope I was able to help you!
~ Fire
Answer:
Step-by-step explanation:
For a triangle the area is

If our triangle is isosceles and the 2 congruent sides each measure 4 and they include an angle of 40 degrees, let's say that the vertex angle is 40 and the sides that are not the base each measure 4. If we drop an altitude from the vertex to the base, we cut the triangle into 2 right triangles, with the vertex angle being 20 degrees and the hypotenuse being 4. To find the base, then, which is opposite the angle, we use the sin ratio:
and
4sin(20) = b so
b = 1.368
But we need the whole base, and that is only half of it. So
2b = 2.736
To find the height, which is adjacent to the angle, we use the cos ratio:
and
4cos(20) = h so
h = 3.759
Now we have enough info to find the area of the triangle using the triangle area formula from above:
and
A = 5 meters squared.
Answer:
One of the below.
Step-by-step explanation:
12-2=10 2+x=12