I just encountered this question. Here's my answer:
Given:
3 kids
product of their ages is 72.
Youngest child.
The youngest child means that all three kids have different ages.
We need to factor 72. Let us use prime factorization.
72 ÷ 2 = 36
36 ÷ 2 = 18
18 ÷ 2 = 9
9 ÷ 3 = 3
3 ÷ 3 = 1
1 x 2 x 2 x 2 x 3 x 3 = 72
Based on the factors we can assume the following ages:
2 x 4 x 9 = 72
3 x 4 x 6 = 72
1 x 8 x 9 = 72 I prefer this age combination.
1 x 3 x 24 = 72
<span>1 x 4 x 18 = 72</span>
Answer:
25km ph
Step-by-step explanation:
9514 1404 393
Answer:
a) 22°
Step-by-step explanation:
Side 'a' is the shortest side, so angle A will be the smallest angle. Its value must be less than 60°, eliminating the last two answer choices. The actual value can be found from the Law of Cosines.
a² = b² +c² -2bc·cos(A)
cos(A) = (b² +c² -a²)/(2bc) = (5² +7² -3²)/(2(5)(7)) = 65/70
A = arccos(65/70) ≈ 21.7868°
Angle A is about 22°.
Answer:
A.
Step-by-step explanation:
In the attached file
The general form of the quadratic equation is :
The discriminant is :
And the general solution is :
So, there are 3 situations for D
1. D = 0
So, the roots of a quadratic equation are two similar roots
2. D > 0
so, roots of a quadratic equation are two different roots
3. D < 0
so, roots of a quadratic equation are not real, two comlex roots