D. 133*1.285=171 pennies in the jar
Answer:
x = 58
Step-by-step explanation:
Angle = 1/2(difference of intercepted arcs)
51 = 1/2 ( 160 -x)
Multiply each side by 2
2*51 = 160-x
102 = 160-x
Subtract 160
102 -160 = -x
-58 = -x
58 =x
Answer:
78.5
Step-by-step explanation:
3.14*5*5=78.5
If tan theta is -1, we know immediately that theta is in either Quadrant II or Q IV. We need to focus on Q IV due to the restrictions on theta.
Because tan theta is -1, the ray representing theta makes a 45 degree angle with the horiz axis, and a 45 degree angle with the negative vert. axis. Thus the hypotenuse, by the Pythagorean Theorem, tells us that the hyp is sqrt(2).
Thus, the cosine of theta is adj / hyp, or +1 / sqrt(2), or [sqrt(2)]/2
The secant of theta is the reciprocal of that, and thus is
2 sqrt(2)
---------- * ------------ = sqrt(2) (answer)
sqrt(2) sqrt(2)
