Answer:
t = 25.05761543°
Step-by-step explanation:
sin (x) = 36/85 = 0.423529412
sin (x) = 0.423529412
x = sin^-1(0.423529412)
x = 25.05761543°
Answer:
a) the common difference is 20
b) 
c) the common difference is -13
d) 
Step-by-step explanation:
a) what is the common difference of the sequence xn
Looking at the table, we get x_3=16, x_4=36 and x_5= 56
Deterring the common difference by subtracting x_4 from x_3 we get
36-16 =20
So, the common difference is 20
b) what is x_8? what is x_12
The formula used is: 
We know common difference d= 20, we need to find 
Using
we can find 

So, We have 
Now finding 

So, 
Now finding 

So, 
c) what is the common difference of the sequence 
Looking at the table, we get a_7=104, a_8=91 and a_9= 78
Deterring the common difference by subtracting a_7 from a_8 we get
91-104 =-13
So, the common difference is -13
d) what is a_12? what is a_15?
The formula used is: 
We know common difference d= -13, we need to find 
Using
we can find 

So, We have 
Now finding
, put n=12

So, 
Now finding
, put n=15

So, 
a car travels along a straight road to the east for 150 meters in 4 seconds and west for 50 meters in one second
Answer:
<h2>X =

</h2><h2>Y = 5y.</h2>
Step-by-step explanation:
We need to find the translation for which, (-3, 1) becomes (1, 5).
-3 will become 1, if it is divided by -3.
Hence, the translation for x axis is X =
.
1 will become 5, when it is multiplied by 5.
Hence, The translation for y axis is Y = 5y.
9, 2, -5... so is going down by 7 each time, meaning the "common difference" is -7.