Answer:
Base = 3√5
Step-by-step explanation:
Given:
Hypotenuse = 9
Perpendicular = 6
Find:
Base(x)
Computation:
Using Pythagorean theorem
Base = √Hypotenuse² - Perpendicular²
Base = √9² - 6²
Base = √81 - 36
Base = √45
Base = 3√5
Volume of sphere = 4/3 x pi x r^3
Volume of large sphere:
4/3 x 3.14 x 14^3 = 11488.21 cubic cm
Volume of smaller sphere:
4/3 x 3.14 x 2^3 = 33.49 cubic cm
Number of small spheres = volume of large sphere/ volume of small sphere
11488.21 / 33.49 = 343.03
Round to 343 small spheres
Answer:
Step-by-step explanation:
Perimeter is 70 m
so w + w + 6w + 6w = 70
w = 70/14 = 5, l = 30m.
Area = l * w = 30 * 5 = 150 sq m
⇒ 
⇒ 
⇒
; sin(x) ≠ 0, cos(x) ≠ 0
⇒
; sin(x) ≠ 0, cos(x) ≠ 0
⇒ 
Use the Unit Circle to determine when 
Answer: 45° and 315° 