Answer:






Step-by-step explanation:
Given
--- terminal side of 
Required
Determine the values of trigonometric functions of
.
For
, the trigonometry ratios are:


Where:


In 
and 
So:






<u>Solving the trigonometry functions</u>


Rationalize:






Rationalize
















Answer:
y=-50*0.2^x
Step-by-step explanation:
the formula for an exponential function is:
y=a*b^x
what do we multiply -50 by to get -10?
-50x=-10
x=-10/-50
x=1/5
x=2/10
x=0.2
This initial value here is -50, it is the first in the table
y=-50*0.2^x
Answer:
0.5 m
Step-by-step explanation:
Given that the dimensions of the garden are 15 meters by 20 meters.
The area of the new garden (original garden + stone placed around the perimeter) is 336m².
Let d be the width of the border having stepping stones as shown in the figure. The shaded region in the figure is the area having stepping stones.
The area including the shaded region 

As the width of the stone border can't be a negative value, so taking the positive value.
Hence, the width of the stone border is 0.5 m.
So, the wi
Answer:
The correct option is 1.
Step-by-step explanation:
it is given that the probability of a randomly selected point on the grid below is in the blue area is 9/16.
In the given grid we have only two colors that are blue and white.
Let A be the event of a randomly selected point on the given grid is in the blue area.

If the randomly selected point on the given grid does not lie in the blue area, it means it lies on white area.
We will calculate P(A'), to find the probability that a randomly selected point is in the white on the grid.
We know that the sum of the probability is 1.


It is given that 

Therefore option 1 is correct.
Answer:
46/3
Step-by-step explanation:
|2a| - b/3
Plug in the values and evaluate.
|2(7)| - (-4)/3
|14| + 4/3
Apply | a | = a
14 + 4/3
42/3 + 4/3
= 46/3