It is given that, $m\angle EFG=122^\circ,\ EF=16$ units. It means the central angle of arc EG is 122 degrees and the radius of the circle F is 16 units.

Formula for arc length is:

$s=2\pi r\times \dfrac{\theta}{360^\circ }$

Where, r is the radius and $\theta$ is the central angle in degrees.

Putting $r=16,\ \theta=122^\circ,\ \pi=3.14$ , we get

$s=2(3.14)(16)\times \dfrac{122^\circ}{360^\circ }$

$s=100.48\times \dfrac{61}{180}$

$s=34.0515556$

$s\approx 34.05$

Therefore, the length of arc EG is 34.05 units.

6 0

3 years ago

The sum of two numbers is 11 and their product is 18. Find the numbers.

Vanyuwa [196]

Answer: the numbers are 9 and 2

Step-by-step explanation:

Let the numbers be a and b

a + b = 11.........equation 1

ab = 18.......equation 2

Multiply equation 1 by a

a ^2 + ab = 11a.......equation 3

Substitute the value of ab from equation 2 into equation 3

a ^2 + 18 = 11a

a^2 - 11a + 18 = 0

(a-9) x (a-2) = 0

If a = 9, then b =2

I hope this helps, please mark as brainliest answer.

3 0

3 years ago

1.4 in standard form

lbvjy [14]

14

Step by step explanation

5 0

3 years ago