Answer:
C° = 71.6056
Step-by-step explanation:
Law of Cosines: c² = a² + b² - 2abcosC°
Step 1: Plug in known variables
29² = 30² + 15² - 2(30)(15)cosC°
Step 2: Evaluate
841 = 900 + 225 - 900cosC°
-59 = 225 - 900cosC°
-284 = -900cosC°
71/225 = cosC°
cos⁻¹(71/225) = C°
C° = 71.6056
And we have our answer!
Question:
Five times the sum of a number and 27 is greater than or equal to six times the sum of that number and 26.
What is the solution set of this problem?
Answer:

Step-by-step explanation:
Given
<em>Represent the number with x</em>
So:

Required
Determine the solution set

Open Both Brackets


Collect Like Terms


Multiply both sides by -1

Hence, the solution set is 
The formula for t would be x/7.
In order to find this, we simply follow the order of operations to solve for t.
7t = x ----> Divide both sides by 7
t = x/7
Answer:
5 and -4.5
Step-by-step explanation:
10/2=5
and -9/2=-4.5
-5 -4.5 -4 -3 -2 -1 0 1 2 3 4 5
Answer:
8a^3.
Step-by-step explanation:
(a+b)^3=a^3+b^3+3a^2b+3ab^2
(a-b)^3=a^3-b^3-3a^2b+3ab^2
(a+b)^3+(a-b)^3=2a^3+6ab^2
According to the question
(a+b)^3+(a-b)^3+6a(a^2-b^2)
Put in the value
=2a^3+6ab^2 +6a^3–6ab^2
=8a^3