Answer:
B) Inside the nucleus of an atom are protons and electrons.
Explanation:
Inside the nucleus of an atom are protons and neutrons. Electrons orbit (kind of?) away from the nucleus.
An inscribed angle (BAC) is one half the angle of a central angle (BOC) that intercepts the same arc. Therefore, BAC = 34 degrees.
Answer:
-9
Step-by-step explanation:
Simplify the following:
-6×(-2)/4 (-3)
-6×(-2)/4 (-3) = (-6 (-2) (-3))/4:
(-6 (-2) (-3))/4
The gcd of -2 and 4 is 2, so (-6 (-2) (-3))/4 = (-6 (2 (-1)) (-3))/(2×2) = 2/2×(-6 (-1) (-3))/2 = (-6 (-1) (-3))/2:
(-6-1 (-3))/2
(-6)/2 = (2 (-3))/2 = -3:
--3 (-3)
-3 (-1) = 3:
3 (-3)
3 (-3) = -9:
Answer: -9
Answer:
4 can be rewrite as 2•2, and that's the same as 2².
8 can be rewrite as 2•2•2, and that's the same as 2³
So we can rewrite the whole expression as:
2^x = (2²)⁸•(2³)⁴
2^x = 2¹⁶•2¹²
2^x = 2²⁸
So x = 28
Answer:
The volume of the prism is 27√3/2
Step-by-step explanation:
* Lets revise the triangular prism properties
- The triangular prism has five faces
- Two bases and three side faces
- The two bases are triangles
- The three side faces are rectangles
- The rule of its volume is Area of its base × its height
* Lets solve the problem
- The triangular prism has two bases which are equilateral triangles
- The length of each side of the triangular base is 3"
- The height of the prism is 6"
∵ The volume of the prism = area of the base × its height
∵ The base is equilateral triangle of side length 3"
- The area of any equilateral triangle is √3/4 s²
∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4
∵ The length of the height of the prism is 6"
∴ The volume of the prism = 9√3/4 × 6 = 27√3/2
* The volume of the prism is 27√3/2
