Let the width be W, then the length is 4W (since the width is 1/4 the length)
The area of the original deck is

The dimensions of the new deck are :
length = 4W+6
width=W+2
so the area of the new deck is :

"<span>the area of the new rectangular deck is 68 ft2 larger than the area of the original deck</span>" means that we write the equation:




the length is

ft
Answer: width: 4, length: 16
Answer:
4/5
Step-by-step explanation:
<u>Given</u>,
Area of the triangle = 1/4 square meters
From the diagram,
Height = 2/5 m
<u>To find</u> : Length of the base
<u>Formula</u> : -
A = bh/2
Here,
A denotes Area
b denotes Base
h denotes Height
A = 1/4
h = 2/5
A = bh/2
Cross multiply,
A * 2 = bh
2A = bh
2 * (1/4) = b * (2/5)
(1 * 2)/4 = (b * 2)/5
2/4 = 2b/5
1/2 = 2b/5
Cross multiply,
1 * 5 = 2 * 2b
5 = 4b
b = 4/5 meters
Hence,
The length of the base is 4/5 meters.
Answer:
The MAD of {12, 10, 10, 8, 6, 7, 7, 12} is 2.
Step-by-step explanation:
<u><em>Step 1 : Add all the values Up:</em></u>
<u><em /></u>
<u><em>Step 2 : Divide them by the number of items or numbers:</em></u>
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<u><em></em></u>
<u><em></em></u>
<u><em>Step 3: Find the absolute deviations:</em></u>
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<u><em>Step 4: Add all the absolute deviations:</em></u>

<u><em>Step 5: Find the mean:</em></u>

Answer:
x = -1/2
Step-by-step explanation:
To solve the equation, we first need to combine like terms:

Simplify further:

Divide by -12 on both sides to get:

To check the solution, plug x back into the original equation and check if we get the correct answer:



Thus, it checks out and our answer is correct.
Answer:
Step-by-step explanation:
horizontal distance = cos(28)*120