90-x because a complementary angle is =90 degrees.
the second duckling is wandering by 2.6 units distance than the first duckling .
<u>Step-by-step explanation:</u>
Here we have , Two ducklings wander away from the nest while their mother is away. The first duckling's displacement (distance and direction) from the nest is (12,5) The second duckling's displacement is (13,-8) . We need to find How much farther did the second duckling wander than the first duckling. Let's find out:
Let a = (12,5) and b =(13,-8)
The distance each duckling wandered is the magnitude of its displacement vector. Therefore, the expression Distance second duck wandered is given by :
⇒ 
⇒ 
⇒ 
⇒ 
⇒ 
Therefore , the second duckling is wandering by 2.6 units distance than the first duckling .
Answer:
The total number of ways are 168.
Step-by-step explanation:
Consider the provided information.
There are 7 junior and 3 senior coders in her group.
The first project can be written by any of the coders. The second project must be written by a senior person and the third project must be written by a junior person.
For second project we have 3 choices and for third project we have 7 choices.
Now there are 2 possible case:
Case I: If first and second coder is senior, then the total number of ways are:

Case II: If first and third coder is junior, then the total number of ways are:

Hence, the total number of ways are: 42+126=168
Answer:
A = -10
Step-by-step explanation:
x^2 + 10x + 24 = 0
To find the roots, we need to factor the equation.
What 2 numbers multiply to 24 and add to 10
6*4 = 24
6+4 = 10
(x+6) (x+4)=0
Using the zero product property
x+6 = 0 x+4 = 0
x = -6 x = -4
We want the sum when the roots are added
-6+ -4 = -10
The relative frequency of it landing on tails is 20/30 or 2/3 or 0.667