If sin theta > 0 and cos theta > 0, then the terminal point determined by theta is in:
a. quadrant 4.
b. quadrant 3.
c. quadrant 1.
d. quadrant 2.

The answer is the option C

quadrant

Step-by-step explanation:

we have

------> The angle can be in the first or second quadrant

------> The angle can be in the first or fourth quadrant

therefore

The common quadrant for both cases is the first quadrant

the terminal point determined by theta is in the first quadrant

v = 1/3 a^2h

step-by-step explanation:

if the height is 57.7cm and the height of the slant edge is 18.2cm, then the volume is 1/3 a^2h.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for