Answer:
x = (270° - 9y°)/2
y = (270° - 2x°)/9
Step-by-step explanation:
The sum of angles in a quadrilateral is 360°
The angles in the quadrilateral above are: 3y°, 6y°, 2x° and 90°
2x° + 3y° + 6y° + 90° = 360°
2x° + 9y° = 360° - 90°
2x° + 9y° = 270°
2x° = 270° - 9y°
x = (270° - 9y°)/2
2x° + 9y° = 270°
9y° = 270° - 2x°
y = (270 - 2x°)/9
Answer: B. h = 7.5 cm ; r = 10 cm
Given:
Cylinder
Cone
Volume of Cylinder = π r² h
= 3.14 * (5cm)² * 15cm
= 3.14 * 25cm² * 15cm
= 1,177.50 cm³
Volume of the cone = 1,177.50 cm³ * 2/3
= 2355 cm³ ÷ 3
= 785 cm³
Volume of the cone = π r² h/3
a) 3.14 * 15² * 5/3 = 1177.50 cm³
b) 3.14 * 10² * 7.5/3 = 785 cm³
c) 3.14 * 7.5² * 10/3 = 588.75 cm³
d) 3.14 * 5² * 15/3 = 392.50 cm³
Green, because purple and green have 3 cubes so they both have the same probability of being chosen
