Answer:
x = 19
Step-by-step explanation:
(whole secant) x (external part) = (tangent)^2
(x-7+4) * 4 = 8^2
(x-3)*4 = 64
Divide each side by 4
x-3 =16
Add 3 to each side
x-3+3 = 16+3
x = 19
Step-by-step explanation:
Percentage decrease = 30% × 25
New value = 25 - Percentage decreaseNew value =
25 - Percentage decrease =
25 - (30% × 25) =
25 - 30% × 25 =
(1 - 30%) × 25 =
(100% - 30%) × 25 =
70% × 25 =
70 ÷ 100 × 25 =
70 × 25 ÷ 100 =
1,750 ÷ 100 =
17.5
Absolute change (actual difference) =
New value - 25 =
17.5 - 25 =
- 7.5
Since 25% is 1/4 divide 28 by 4 to get your answer of 9.5
The volume of the sphere is expressed in the formula V = 4/3 pi r^3. The rate of change of volume is determined by differentiating the formula: dV/dt = 4pi r^2 dr/dt. When we substitute 500 cm3/min as dV/dt and 30 cm as r. Then dr/dt is equal to 0.0442 cm/min
Answer:
D. 158.4 km²
Step-by-step explanation:
Area of sector = θ/360 * πr²
Where,
θ = 150°
r = 11 km
Substitute
Area = 150/360 * π * 11²
Area = 158.38863 ≈ 158.4 km² (nearest tenth)
