Answer:
A. 5 < AC < 10
Step-by-step explanation:
If ∆ABC is a right angled triangle, we use the Pythagoras formula:
c² = a² + b²
Where c = longest side
When given sides AB, AC and BC, the formula becomes:
AB² = AC² + BC²
Where AB = Longest side
In the question,
AB = 10 and BC = 5.
10² = AC² + 5²
AC² = 10² - 5²
AC² = 100 - 25
AC² = 75
AC = √75
AC = 8.6602540378
Therefore, the expression that is always true = A. 5 < AC < 10
Answer:
Step-by-step explanation:
We have three people
jamal = x (since im guessing hes the youngest)
wesley= x+1
John= x+2
the formula you would use is x+x+1+x+2=108
when you simplify that you get 3X+3=108
you subtract the 3 from 108 which leaves you with 3X=105
divide that by 3 which makes x=35
so
jamal is 35
wesley is 36
john is 37
Answer:
True.
Step-by-step explanation:
It is because it is in the form
and this equals
.
Why it is in that form: well comparing
, we have
. Testing, plug in those values:


.
This has the squared form of
.
Test if you like:


Use foil to expand:
First: x(x)=x^2
Outer: x(1)=x
Inner: 1(x)=x
Last: 1(1)=1
---------------Add together

It does indeed equal.
Answer:
Abe spent 36 dollars on each bag
Step-by-step explanation:
divide 144 by 4 (because there are 4 bags in total, and he spent 144 dollars)
the answer will be 36
Answer:
The given options are -
business ownership
bonds
money market account
promotional CD
Now we have to identify these under saving options or investment options.
So, saving are :
promotional CD and money market account ( money market account is a type of saving account that can pay higher interest rate than normal savings accounts, but these accounts have higher minimum deposits.)
And investment are :
business ownership and bonds.