TanY=y/x
cotY=1/tanY
cotY=x/y
Answer: A(x) = 15 ft + 2x
EXPLANATION
Given,
The dimension of the rectangular garden is 20 ft by 15 ft.
Dimension of a rectangle is written as Length by Width
This implies that,
Length of the garden = 20 ft
Width of the garden = 15 ft
The garden has a walk around it of width x.
The combined width of the garden = Width of garden + 2x
[we are adding twice the width of the walk because it is
around the garden (this means it will add to the width of the garden on both the left and right sides)]
Combined width of the garden, A(x) = Width of garden + 2x
Since width of the garden = 15 ft
A(x) = 15 ft + 2x
1. The values of p and q are: p=31 and q= 4
2. B(11, 29/5)
Further explanation:
<u>1. L(15. 1) is the midpoint of the straight line joining point (p. - 2) to point D(-1. q) find p and q.</u>
Given:
M = (15. 1)
(x1, y1) = (p, -2)
(x2, y2) = (-1, q)
The formula for mid-point is:

Hence,
p=31
q=4
<u>2. M is the midpoint of the straight line joining point A (3. 1/5) to point B.If m has coordinates (7. 3), find the coordinates of B.</u>
Here,
(x1,y1) = (3, 1/5)
(x2, y2) = ?
M(x,y) = (7,3)
Putting values in the formula of mid-point

So, the coordinates of point B are (11, 29/5) .
Keywords: Finding mid-point, Finding coordinates through mid-point
Learn more about coordinate geometry at:
#LearnwithBrainly
Answer:
P ( snowboard I ski) = 0.5714
Step-by-step explanation:
Conditional Probability
We use the conditional probability formula to solve this question. It is

In which
P(B|A) is the probability of event B happening, given that A happened.
is the probability of both A and B happening.
P(A) is the probability of A happening.
In this question:
Event A: Ski
Event B: Snowboard.
28 out of 120 students ski:
This means that 
16 out of 120 do both:
This means that 
P ( snowboard I ski)

So
P ( snowboard I ski) = 0.5714
Answer:
$57
Step-by-step explanation:
$380x0.85=$323
$380-$323=$57