Answer:
The age of Mr. Collins is 30 years and
The model which represent the problem is, The age of Mr. Collins is 3 × 10
Step-by-step explanation:
Given as :
The age of Adam = 10 years
The age of Mr. Collins = x years
The age of Mr. Collins = 3 times the age of Adam
Or, x = 3 × The age of Adam
Or, x = 3 × 10
∴ x = 30
So, The age of Mr. Collins = x years = 30 years
The model which represent the problem is, The age of Mr. Collins = 3 × 10
Hence The age of Mr. Collins is 30 years and
The model which represent the problem is, The age of Mr. Collins = 3 × 10
Answer
Here's how you solve this. So, x+y=2, right? Let's isolate x. x+y-y=2-y. x=2-y. NOW, if x=2-y, in 3x+2y=5, we can REPLACE x with 2-y and use it to solve for y! 3x+2y=5. 3(2-y)+2y=5. (3*2)+(3*-y)+2y=5. 6+(-3y)+2y=5. 6+(-y)=5. 6+(-y)-6=5-6. -y=-1. -y/-1=-1/-1. y=1.
So, if y=1, we can substitute that back into either equation--but let's go with the easier one, x+y=2. x+1=2. x+1-1=2-1. x=1. 1+1=2, so that works; let's check the other equation. 3(1)+2(1)=5. 3+2=5. 5=5. That's correct!
Answer: x=1, y=1
Answer:
About 0.559 seconds
Step-by-step explanation:
The height equation is:

Where
is the initial height of the book, which is 5, so we can write:

Now, we want time it took for the book to reach ground (h = 0)
So, we substitute h = 0 and solve for t:

It took about 0.559 seconds for the book to reach the ground
Answer:

Step-by-step explanation:
we know that
The formula of law of cosines is equal to

where
a, b and c are sides. C is the angle opposite side c
In this problem we have

substitute the given values





