20.40 
When this situation is drawn out, it forms a right triangle (as shown in the attached image). The sides that are given are the two legs of the triangle. The side that is missing is the hypotenuse. The missing side can be found using the pythagorean theorem:
A = 20
B= 4
C = ?
This process is shown in the attached image. The length of the missing side (ladder) rounded to the nearest hundredth is 20.40
It would be 1649.04 cause 824.52+824.52=
Answer:
Option A. $1713.98
Step-by-step explanation:
You have to calculate your parents' monthly fixed expenses by the given expenses list.
Rent = $998.50
Groceries ( bi-weekly ) = $195.40 Monthly groceries = (195.40×2)
Charge card = $258.90
Cell phone = $65.78
Name brand Khakis for work (store brand optional ) = $34.95
Total expenses are 998.50 + (195.40×2) + 258.90 + 65.78
= $1713.98
Option A. $1713.98
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
To approximate the measure of angle D, we will need to use the inverse cosine function on our calculator. All calculators vary, so I am not sure where you would find the button for it on your calculator. However, I know many calculators have it so you click the second button, then cos.
cos(D) = 0.33
D = cos^-1 (0.33)
D = 70.7 degrees
Hope this helps!! :)
