Answer:
x = 24
Step-by-step explanation:
1.) put the equations together and equal them to 180
2x + 4 + 6x - 16 = 180
2.) combine like terms
8x - 12 = 180
3.) divide both sides by 8
8x = 192
4.) simplify
x = 24
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
9514 1404 393
Answer:
20.8 cm
Step-by-step explanation:
The term "hypotenuse" suggests this triangle is a right triangle. Then the other leg can be found using the Pythagorean theorem:
x^2 +12^2 = 24^2
x^2 = 576 -144 = 432
x = √432 ≈ 20.8 . . . cm
The other leg is about 20.8 cm.
_____
<em>Additional comment</em>
A right triangle with a short leg that is 1/2 the length of the hypotenuse is the "special" 30°-60°-90° right triangle. The longer leg is √3 times the length of the short leg: 12√3 ≈ 20.8 cm.
Answer:
a c and d
Step-by-step explanation:
sorry if not write
Answer:
∠3≅∠1
∠4≅∠8
∠3& ∠8 are supplementary
Step-by-step explanation:
