Answer:
A 109
Step-by-step explanation:
Pentagram's angles add up to 540. After subtracting all the other angles, you are left with 109.
Answer:

Step-by-step explanation:
To factor the expression
you need to know its roots.
First find the discriminant of this quadratic polynomial:

Then the roots of the expression
are

Now the factored form is

Answer:
In the first account was invested
at 3%
In the second account was invested
at 5%
Step-by-step explanation:
we know that
The simple interest formula is equal to
where
I is the Interest Value
P is the Principal amount of money to be invested
r is the rate of interest
t is Number of Time Periods
in this problem we have
First account
substitute in the formula above
Second account
substitute in the formula above
Remember that
The interest is equal to
so
Adds the interest of both accounts
therefore
In the first account was invested
at 3%
In the second account was invested
at 5%
Answer:
(3m-4/5)2
Final result :
(15m - 4)2
——————————
52
Step by step solution :
Step 1 :
4
Simplify —
5
Equation at the end of step 1 :
4
(3m - —)2
5
Step 2 :
Rewriting the whole as an Equivalent Fraction :
2.1 Subtracting a fraction from a whole
Rewrite the whole as a fraction using 5 as the denominator :
3m 3m • 5
3m = —— = ——————
1 5
Equivalent fraction : The fraction thus generated looks different but has the same value as the whole
Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator
Adding fractions that have a common denominator :
2.2 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
3m • 5 - (4) 15m - 4
———————————— = ———————
5 5
Equation at the end of step 2 :
(15m - 4)
(—————————)2
5
Step 3 :
Final result :
(15m - 4)2
———
52
Step-by-step explanation: