Answer:
A. 385.56 square meters.
B. 142.56 square meters.
Step-by-step explanation:
A house 27m by 9m is surrounded by a walkway 1.8m wide.
a) Find the area of the region covered by the house and the walkway.
b) Find the area of the walkway.
Let
Length of the house=l=27m
Width of the house=w=9m
Wideness of the walkway=x=1.8m
Area of the region covered by the house and the walkway
=( L + 2*x) * (w + 2*x)
= (27+2*1.8)*(9+2*1.8)
=(27+3.6)*(9+3.6)
=(30.6)*(12.6)
=385.56 square meters.
b) Area of the walkway
= (L + 2*x)*(w + 2*x) - l*w
= (27+2*1.8)*(9+2*1.8) - 27*9
=(27+3.6)*(9+3.6) - 243
=(30.6)*(12.6) - 243
=385.56 - 243
=142.56 square meters.
The correct answer would be B because .47 is bigger than 42/100 or .42
An equation with more than one variable is called a "literal Equation"
The capsule describe consists of 2 hemispheres (same) and 1 cylinder. We need to sum up the volume of the cylinder and the 2 same hemispheres.
- <u>Volume of Cylinder:</u>
We are given the radius of the cylinder as 3 and the height as 6. The formula for volume of cylinder is . Plugging in 3 for r and 6 for h gives us,
.
- <u>Volume of Hemisphere(s):</u>
We are given the radius is 3 for the hemisphere. The formula for volume of a hemisphere is half of the volume of a sphere. The formula for hemisphere is shown below.
. Plugging in 3 for r gives us,
<em>Now, since we have 2 same hemispheres, we multiply this answer by 2 to get total volume of the 2 hemispheres.</em>
.
- <u>Total volume of the capsule:</u>
In decimal, taking 3.14 as , it is
Rounding to the nearest whole number gives us 283 millimeters squared.
ANSWER: Volume = and