Answer:
C
Step-by-step explanation:
Area of a 1/4 sector of a circle = 1/4 * pi r^2
Givens
100 of these quarter sectors
pi = 3.14
r = 12
Solution
You are using area because you are going to paint each one of the sectors. You must cover every cm^2 with paint.
Area = 1/4 * 3.14 * r * r
Area = 1/4 * 3.14 * 12 * 12
Area = 113.25
But there are 100 of them. so the area is
100 * Area = 11325 cm^2
Rounded to the nearest 100 hundreds = 11300 cm^2
Answer: The answer is (a) JD should also subtract the areas of eight hidden surfaces.
Step-by-step explanation: Given that the sculpture consists of five identical prisms and he says the surface area of the sculpture is 4 times the surface area of one prism. We are to choose which one of the given four options are correct.
Since JD is calculating the surface area of the sculpture, consisting of five prisms. So, there will be eight hidden surfaces of the five prisms which will not be in count. Hence, he must subtract the areas of those eight hidden surfaces.
Please see the attached figure for more understanding, where prism A has 1 hidden surface, B has 2 hidden surfaces, C has 2 hidden surfaces, D has 2 hidden surfaces and E has 1 hidden surface.
Thus, the correct option is (a).
14 / 21 = X/15 => X = 14 * 15 / 21 => divide by 7 => 2 * 15 / 3 => divide by 3 => 2 * 5 / 1 => 10
Answer:
$400
Step-by-step explanation:
Let the initial total cost be represented = $X.
Hence, for 20 family members
= $ x/20 each .......1
Now that they are 25 members
= $x/25 each.......2
Each in the original group which is equation 1 owed $4 less.
That is,
x/20 - 4 ........ 3
Now equate 2 and 3
X/20 - 4/1 = X/25
Taking the LCM of both sides
X-80/20 = X/25
Cross multiply both sides
25( x-80 ) = 20x
25x-2000 = 20x
Collecting like terms
25x-20x = 2000
5x = 2000
Divide through by 5
X = 2000/5
X = 400
The total cost for the catered meal is $400.
To check if it was correct
Put 400 into equation 1 and 2 and then minus whatever you get from each other, you will get $4
From equation 1
400/20 = $20
From equation 2
400/25 =$16
$20-$16 = $4
Thanks