Answer:

Step-by-step explanation:
Given:
Angle is in standard position which means the starting ray is at the origin. The terminal side has coordinates (3, -4).
So, the 'x' value is 3 and 'y' value id -4.
Using Pythagoras Theorem, we find the hypotenuse.
Hypotenuse = 
Now, using the sine ratio for the angle, we have

Therefore, the value of
is
.
The value is negative as the point (3, -4) lies in the fourth quadrant and sine ratio is negative in the fourth quadrant,
Answer:
The precipitation for both March and April was 8 7/8 inches below average
Step-by step explanation;
For the month of march, precipitation was 6 1/2 inches less than average
For the month of April, precipitation was 2 3/8 inches left.
Now we want to calculate how many inches less than average was precipitation in both wants
What we simply do here is to add the inches with which they were both left than average in both months
That would be;
6 1/2 + 2 3/8
= 13/2 + 19/8 = (52 + 19)/8 = 71/8 = 8 7/8 inches
$20 / 8 dessert dishes = $2.50
The cost of each dish is $2.50.
The area of the polygon with the given vertices: (-3,3) (-3,-1) (4,-1) (4,3) is 28 square units
<h3>What is rectangle ?</h3>
A rectangle is a polygon with four sides. The opposite sides of a rectangle are equal while the angles at the vertex is orthogonal
<h3>How to solve for area of the rectangle</h3>
The following are the data given in the question
polygon with the given vertices' as:
(-3,3)
(-3,-1)
(4,-1)
(4,3)
plotting the given polygon shows it is a rectangle with sides
Length, L = 7 units
Width, w = 4 units
Area if a rectangle is given by
= L * w
= 7 * 4
= 28 square units
The area of the polygon is 28 square units
Learn more in area of rectangle: brainly.com/question/16239445
#SPJ1