Answer:
x=1
Step-by-step explanation:
Answer:
4. 50.19°
5. 25.19°
Step-by-step explanation:
4. Reference angle = x°
Opposite = 6 units
Adjacent = 5 units
Thus,



(nearest hundredth)
5. Reference angle = x°
Opposite = 48 - 5.2 = 42.8 ft
Adjacent = 91 ft
Thus,



(nearest hundredth)b
Answer:
See below
Step-by-step explanation:
In the second step there should be (1 - cot x) instead of (1 + cot x)
(1 + tan x) [1 + cot(-x)]
= (1 + tan x) (1 - cot x)
= 1 - cot x + tan x - tan x cot x
= 1 - cot x + tan x - 1
= tan x - cot x
Answer:
Suppose N is the size of a population of radioactive atoms at a given time t, and dN is the amount by which the population decreases in time dt; then the rate of change is given by the equation dN/dt = −λN, where λ is the decay constant.
Answer:
- A holds more
- A has greater volume
- 24 cubes
Step-by-step explanation:
In terms of cube size, the dimensions of prism A are ...
3 cubes high by 6 cubes wide by 4 cubes deep
The dimensions of prism B are ...
3 cubes high by 8 cubes wide by 2 cubes deep
The volume of each prism (in cubes) is the product of these dimensions:
Va = 3×6×4 = 72 . . . cubes
Vb = 3×8×2 = 48 . . . cubes
__
(a) Prism A holds more cubes
(b) Prism A has a larger volume (which is why it holds more cubes)
(c) The difference in volumes is ...
72 cubes - 48 cubes = 24 cubes