Answer:
Let two consecutive multiples of 3 be x and (x+3)
A/q,
x * (x+3) = 648
➡ x² + 3x = 648
➡ x² + 3x -648 = 0
➡ x² + 27x - 24x -648 = 0
➡ x ( x + 27 ) -24 ( x +27)
➡ ( x - 24) ( x + 27)
➡ x = 24 and x = -27
so, we take x = 24.
Required multiples of 3
➡ x = 24
➡ x +3 = 24+3 = 27.
The formula for N choose K is given as:
C(n, k)= ![\frac{n!}{[k!(n-k)!] }](https://tex.z-dn.net/?f=%20%5Cfrac%7Bn%21%7D%7B%5Bk%21%28n-k%29%21%5D%20%20%7D)
Where,
n is the total numbers.
k is the number of the selected item.
Options C is correct.
Answer: 360 cubic cm
Step-by-step explanation: you just multiply all the numbers.
The quotient for the given mixed fraction is 1.9318
Step-by-step explanation:
Step 1; First we must convert the mixed fractions into improper fractions. To do that the whole number is multiplied with the denominator and add with it the numerator while the denominator does not change. To convert this fraction 
we multiply 4 with 4 and then add 1 and keep the 4 as the fraction's denominator so we get 
. Similarly, we get the improper fraction 
for converting the mixed fraction 
.
Step 2; After conversion, it's just a matter of division. The fraction equals 4.25 while the denominator equals 2.2. Dividing 4.25 by 2.2 we get 1.9318.
Notice the larger triangle is a right-triangle, and the small one is also a right-triangle. Also notice the "angle tickmark" on each. So both angles have a pair of angles that are equal on each.
the triangles are similar by AA.
