Answer:
Option B
Step-by-step explanation:
step 1
Find the number of cubes in the prism
step 2
Find the volume of one cube
The volume of one cube is equal to
where
b is the length side of the cube
we have
substitute
step 3
To find out the volume of the prism , multiply the volume of one cube by the number of cubes
so
simplify
The integers divisible by any set of positive
integers are the multiples of their LCM
let us first write the factored form of each
10 = 2×5
12 = 2×2×3
16 = 2×2×2×2
18 = 2 x3×3
Now we will find lcm of these numbers
LCM = 2×2×2×2×3×3×5 = 720
The multiples of 720 are divisible by 10,12,16 and 18.
2000/720 = 2.777777...
The least integer greater than that is 3, so 3×720 = 2160 is
the least integer greater than 2000 that is divisible by
10,12,16 and 18.
so if we need to find what must be added to 2000 so that the sum is divisible by 10,12,16 and 18, we must subtract 2000 from 2160
2160-2000=160
so we must add 160 to 2000 so that the sum is divisible exactly 10,12,16and 18
The function f(g(2)) is an illustration of a composite function
The value of f(g(2)) is 2
<h3>How to determine the value of the function f(g(2))?</h3>
Given:
The table of values for functions f(x) and g(x)
To calculate f(g(2)), we start by calculating g(2)
From the table;
g(2) = 6
So, we have:
f(g(2)) = f(6)
From the table;
f(6) = 2
So, we have:
f(g(2)) = 2
Hence, the value of f(g(2)) is 2
Read more about composite functions at:
brainly.com/question/10687170
Answer:
Answer is 75cm squared.
Step-by-step explanation:
10x15 = 150
divide by 2
final answer is 75.
The standard form of the equation of a circle is (x-h)^2 + (y-k)^2 = r^2, where (h,k) is the center of the circle, (x,y) is a point of the circle, and r is the length of the radius of the circle. When the equation of a circle is written, h,k, and r are numbers, while x and y are still variables. (x-2)^2 + (y-k)^2 = 16 is an example of a circle. The problem gives us two of the three things that a circle has, a point (5,9) and the center (-2,3). We need to find the radius in order to write the equation. We substitute -2 for h, 3 for k, 5 for x, and 9 for y to get (5 - (-2))^2 + (9 - 3)^2 = r^2 We simplify: 49 + 36 = r^2, r^2 = 85. We only need to know r^2 because the equation of a circle has r^2. We now have all the information to write the equation of a circle. (x + 2)^2 + (y - 3)^2 = 85.
