Answer:
1.)
2.)
3.) 1
4.)
5.)
6.)
Step-by-step explanation:
The 2 steps for all of these is to get common denominators and then add and simplify.
1.) 3/4 + 1/2 (common denominator) 3/4 + 2/4 = 5/4
2.) 5/6 + 1/2 (common denominator) 5/6 + 3/6 = 4/3
3.) 3/6 + 1/2 (common denominator) 3/6 + 3/6 = 6/6 (simplify) = 1
4.) 1/6 + 4/8 (common denominator) 8/48 + 24/48 = 32/48 (simplify) = 2/3
5.) 7/8 + 1/4 (common denominator) 7/8 + 2/8 = 9/8
6.) 3/8 + 1/2 (common denominator) 3/8 + 4/8 = 7/8
Answer:
length of chord is 6cm
Step-by-step explanation:
Here, we are to calculate the length of the chord.
It should be understood that the chord has a length of 0.8cm from the center of the circle of radius 3cm, thereby forming two right-angled triangles with the radius 3cm being the hypotenuse of each and 0.8cm being the height of each.
Now, the chord is divided into 2 by this height dropping from the center of the circle. To calculate the first half, we use Pythagoras’ theorem with 3cm being hypotenuse and 0.8cm being the other side.
mathematically;
3^2 = 0.8^2 + l^2
9 = 0.64 + l^2
l^2 = 9-0.64
l^2 = 8.36
l = √(8.36)
l = 2.89 approximately
The length of the chord would be 2l = 2 * 2.89 = 5.78 cm which is 6cm to the nearest length
