Answer:
x=7
Step-by-step explanation:
This is a right triangle, we can use sin , cos, and tan
tan theta = opposite side/ adjacent
tan 45 = 7/x
Multiply each side by x
x tan 45 = 7/x *x
x tan 45 =7
Divide each side by 45
x tan 45 / tan 45 = 7/ tan 45
x = 7 / tan 45
x =7
Answer:
x=16
Step-by-step explanation:
cos60 = 1/2
from figure
cos60 = 8/x
1/2 = 8/x
x= 8 * 2
x=16
Answer:
sin(-pi/2) = -1
Step-by-step explanation:
sin (pi/12) cos((7pi)/12) -cos (pi/12) sin((7pi)/12) = -1
cos(-pi/2) = 0
sin(-pi/2) = -1
cos((2pi)/3) = -1/2
sin((2pi)/3) = (√3)/2
One way in which you could do this problem quickly and accurately would be to mult. both sides by a^3, to elim. the fraction:
a^n = a^9 * a^3 = a^(9+3) = a^12. Thus, n = 12.
8 is in the ones place so 8 ones.