Answer:
The length is 15 yards
Step-by-step explanation:
Given
Represent the width with W and length with L: So


Required
Determine the length of the rectangle:
Area is calculated as thus:

Substitute 3W - 12 for L and 135 for Area


Reorder:

Divide through by 3

Expand:



or 
or 
But width can't be negative
So:

Recall that: 


<em>Hence, the length 15 yards</em>
Slope = 3.1
This is in y =mx + b
Where m = slope
Answer:
Step-by-step explanation:
Lateral surface area of the triangular prism = Perimeter of the triangular base × Height
By applying Pythagoras theorem in ΔABC,
AC² = AB² + BC²
(34)² = (16)² + BC²
BC = 
= 
= 30 in.
Perimeter of the triangular base = AB + BC + AC
= 16 + 30 + 34
= 80 in
Lateral surface area = 80 × 22
= 1760 in²
Total Surface area = Lateral surface area + 2(Surface area of the triangular base)
Surface area of the triangular base = 
= 
= 240 in²
Total surface area = 1760 + 2(240)
= 1760 + 480
= 2240 in²
Volume = Area of the triangular base × Height
= 240 × 20
= 4800 in³
Answer:
1) The most common place (mode) for people to jog is the path.
2) (The picture)
Step-by-step explanation:
1) The mode means what is most common, and since the path has 22 people, it is the most common place.
2) The data is distributed into 5 different columns based on how many people use the certain column. The second column is the mode and most common spot to jog.