Alright, lets get started.
Suppose the original deck size: width = x feet
the width is one-fourth the length given in question means length = 4 x feet
Means the originally area = 
Now the dimensions are changed.
New dimensions, width = (x + 6)
new length = (4x+10)
So, new area will be = 
the area of the new rectangular deck is 128 ft2 larger than the area of the original deck, means

Subtracting
from both sides

Subtracting 60 from both sides


Dividing 34 in both sides


Means width = 2 feet
Length would be = 4 time width = 4 * 2 = 8 feet
Means dimension of original deck would be = 2 feet and 8 feet :Answer
Hope it will help :)
Answer:
Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
Step-by-step explanation:
The volume of a hemisphere (
), measured in cubic centimetres, is obtained from this formula:

Where
is the radius of the hemisphere, measured in centimetres.
We know that radius is the half of the diameter (
), measured in centimetres, then:

(
)


Now, we get the volume of each hemispherical bowl:


The total volume of six hemispherical bowl is:



From Physics we know that 1 litre equals 1000 cubic centimetres. Then:

Approximately 67.348 litres can be put in six hemispherical bowl with a diameter of 35 centimetres.
It's angles 9 and 10.
Supplementary angles are two angles that add up to 180°.
So, supplementary angles both "stick" off of a straight line. (Because a straight line is 180°).