Answer:

Step-by-step explanation:
0.3
^ You need to move the three before the decimal place and leave 4 empty digits (0) between
0.3
3.0
30.0
300.0
3000.0
30000.0
A total of 5 moves.
Each move is equivalent to x, the preceding value, times 10. x * 10
Repeated multiplication times the same factor equates to exponentiation, so for a total of 5 moves, it is notated as
, giving you an expression of:

Step-by-step explanation:
since all angles add up to 180:
(8x-1)+(3x+4)+(3x+9)=180
add like terms:
14x+12=180
x=12
Hope that helps :)
So it seems as if the first problem is asking this:

.
If x=0.15, then 11/15*(0.15) is 0.11 or 11/100.
The second problem is asking:

To solve algebraically, you want to get rid of the denominators under the x's. To do so, you want to multiply by the Least Common Multiple (LCM) of the denominators. For 3 and 4, the LCM is 12. Multiply everything by 12 to get:
3x+6=4x+2
Now, solve for x
Subtract 4x from both sides:
-x+6=2
Subtract 6 from both sides:
-x=-4
Multiply by -1 on both sides:
x=4.
Answer:
Question 1:
cos a = 0.2195
tan a = 4.445
Question 2:
sin a = 0.8
tan a = 1.333
Step-by-step explanation:
<h3 /><h3>Question 1:</h3>
Given that;
sin a = 40/41
a = sin ⁻¹ (40/41)
a = 77.32°
Now we have to find the value of cos a and tan a:
a = 77.32°
cos 77.32° = 0.2195
tan 77.32° = 4.445
<h3>Question 2:</h3>
Given that;
cos a = 0.6
a = cos ⁻¹ (0.6)
a = 53.13°
Now we have to find the value of cos a and tan a:
a = 53.13°
sin 53.13° = 0.8
tan 53.13° = 1.333