The human eyeball is a sphere with a surface area of 20 square cm. find the approximate radius of the human eyeball. a. 1.26 cm b. 1.59 cm c. 2.24 cm d. 4.47 cm

a. 1.26 cm

Step-by-step explanation:

Since, the surface area of a sphere is,

Where, r is the radius of the sphere,

Given,

A = 20 square cm,

Hence, the radius of the eyeball is 1.26 cm.

Option 'a' is correct.

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°