Part (i)
The square has area of 12*12 = 144 square meters. From that, we carve out four quarter-circles from each corner, as the diagram shows. Imagine that we rearranged the quarter circles so that they would then form a full circle. This circle would have radius 6 (half of the 12 meters), so the area of the circle is pi*r^2 = pi*6^2 = 36pi exactly
The four white sections combine to an exact area of 36pi, which approximates to 36*3.14 = 113.04 square meters. Use more decimal digits in pi to get a better approximation.
Exact answer: 36pi square meters
Approximate answer: 113.04 square meters (when using pi = 3.14)
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Part (ii)
Once we know what the white sections combine to, we can subtract that area from the total overall area of 144 m^2
We end up with 144 - 36pi as the exact area of the red section
This approximates to 144 - 36*3.14 = 30.96 m^2
Exact answer: 144 - 36pi square meters
Approximate answer: 30.96 square meters (when using pi = 3.14)
Answer:
12 quarters, 16 nickels, 24 dimes
Step-by-step explanation:
Nickels = 4 + quarters
dimes = 2 * quarters
total $6.20 = 0.25quarters + 0.1 dimes + 0.05nickels
6.20 = 0.25q + 0.1d + 0.05n
6.20 = 0.25q + 0.1*(2q) + 0.05(4 + q)
6.2 = 0.25q + 0.2q + 0.2 + 0.05q
6.2 = 0.45q + 0.2 + 0.05q
6.2 = 0.5q + 0.2
6 = 0.5q
q = 12
12 quarters, 16 nickels, 24 dimes
Answer:
option G
22 in³
Step-by-step explanation:
I assumed the measurements as it could be different picture.
Length = 2.75
width = 4
Given in the question base of a rectangular prism of dimensions 4 by 2.75
Height of the prism = 2 in
Formula to calculate volume of rectangular prism
V = L x H x W
V = 4 x 2 x 2.75
V = 22 in³
Answer:
c/a
Step-by-step explanation:
The product of two solutions from the quadratic formula is c/a.
Answer:
1200 seats
Step-by-step explanation:
<u> x </u> = <u> 660 </u>
100 55
55x = 66,000
x = 1200