Answer:
Length = 5p + 3
Perimeter = 26p + 6
Step-by-step explanation:
Given
Area = 40p² + 24p
Width = 8p
Solving for the length of deck
Given that the deck is rectangular in shape.
The area will be calculated as thus;
Area = Length * Width
Substitute 40p² + 24p and 8p for Area and Width respectively
The formula becomes
40p² + 24p = Length * 8p
Factorize both sides
p(40p + 24) = Length * 8 * p
Divide both sides by P
40p + 24 = Length * 8
Factorize both sides, again
8(5p + 3) = Length * 8
Multiply both sides by ⅛
⅛ * 8(5p + 3) = Length * 8 * ⅛
5p + 3 = Length
Length = 5p + 3
Solving for the perimeter of the deck
The perimeter of the deck is calculated as thus
Perimeter = 2(Length + Width)
Substitute 5p + 3 and 8p for Length and Width, respectively.
Perimeter = 2(5p + 3 + 8p)
Perimeter = 2(5p + 8p + 3)
Perimeter = 2(13p + 3)
Open bracket
Perimeter = 2 * 13p + 2 * 3
Perimeter = 26p + 6
Answer:
D sentence 5
Step-by-step explanation:
Answer:
161 centimeters
Step-by-step explanation:
To find the total height, we need to find the wait of each individual box. Since we have five boxes stacked up on each other with a height of 115, we can divide 115 by 5 to get 23. Now that we know that each box is 23 centimeters tall, we can multiply that by 2 because 2 more boxes were added, and then add that to 115.
115/5=23
23*2=46
46+115=161
Hope this helps!
Answer:
(-2, -3)
Step-by-step explanation:
If a segment having extreme ends as 
and 
is divided by a point (x, y) in the ratio of m:n,
x = 
y = 
Since, a line RT has extreme ends as R(-5, 3) and T(-1, -5) then a point S(x, y) which divides RT in the ratio of 3 : 1 will be,
x = 
= 
= -2
y = 
= 
= -3
Therefore, coordinates of the point S will be (-2, -3).
