Answer:
Infinitely Many Solutions
Step-by-step explanation:
Given
![\left[\begin{array}{cccccc}1&2&3&4&5&6\\7&6&5&4&3&2\\8&8&8&8&8&8\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcccccc%7D1%262%263%264%265%266%5C%5C7%266%265%264%263%262%5C%5C8%268%268%268%268%268%5Cend%7Barray%7D%5Cright%5D)
Required
Determine the type of solution
From the matrix, we have:
3 non-zero rows and 5 variables (the last column is the result)
When the number of variables is more than the number of non-zero rows, then such system has infinitely many solutions
i.e.
Answer:
50.29 in^2
Step-by-step explanation:
From the circumference we need to find the radius.
Since C = 2*pi*r, r = C / (2*pi).
Here, with C = 25 1/7 in, r = (25 1/7 in) / [ 2(22/7) ], or r = 4 in
The area of the cake is A = pi*r^2, or (here) A = (22/7)(4 in)^2 = 50.29 in^2
(new amount-old amount)=(198,000)-(100,000)=98% increase
98/5 years=19,600
Yr 1=$100,000+19,600=$119,600
Yr 2=$119,600+19,600=$139,200
Yr 3=$139,200+19,600=$158,800
Yr 4=$158,800+19,600=$178,400
Yr 5=$178,400+19,600=$198,000
The mortgage grew at a steady rate of $19,600 over the 5 years...
HOPE THIS HELPS :)
Answer:
Step-by-step explanation:
We would apply the law of Cosines which is expressed as
a² = b² + c² - 2abCosA
Where a,b and c are the length of each side of the triangle and A is the angle corresponding to a. Likening the expression to the given triangle, it becomes
JK² = JL² + KL² - 2(JL × KL)Cos10
JK² = 61² + 53² - 2(61 × 53)Cos10
JK² = 3721 + 2809 - 6466Cos10
JK² = 6530 - 6367.767
JK² = 162.233
Taking square root of both sides of the equation, it becomes
JK = √162.233
JK = 12.73 to the nearest tenth
Answer:
x = -4 / 3
Step-by-step explanation:
step 1. simplify 4x2 to 8
8+6x=0
step 2. subtract 8 from both sides.
6x = -8
step 3. divide in both sides by 6.
x = - 8 / 6
step 4. simplify 8/6 to 4/3.
x = -4 / 3
