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
(a) 0.50 per pound, you do 6 divided by 12
(b) 9.17 pounds per field, you do 55 divided by 6
Answer:
No savings
Step-by-step explanation:
Let the interest rate be same for all the loans and consider it to be R.
<u>First case</u>
Principal 1 = 2000
Time = 12 moths = 
= 1 year
Rate = R %
So, interest 1 = Principal * Time * Rate
= 2000 * 1 * R
= 2000R
Now,
Principal 2 = 1000
Time = 12 moths = = 1 year
Rate = R %
So, interest 2 = Principal * Time * Rate
= 1000 * 1 * R
= 1000R
Total interest to be paid = 2000R + 1000R
= 3000R
<u>Second case</u>
Principal = 3000
Time = 12 moths = = 1 year
Rate = R %
Interest = Principal * Time * Rate
= 3000 * 1 * R
= 3000R
We conclude that there would be no savings because the interest to be paid in both the cases are same.
I'm pretty sure it is only b because <span>when you subtract two rational numbers, you always get back a rational number.</span>
