Answer:
28.26 
Step-by-step explanation:
The area of the quarter circle is the area of the circle / 4. Thus, the area is 
= 
= 28.26 square centimeters
Answer:
24
Step-by-step explanation:
multiply 10 by 1.5 to get 15.
do the same with 16
Answer: h = 9
Step-by-step explanation: A system of linear equations is consistent when it has at least one solution.
The matrix given is:
![\left[\begin{array}{ccc}-15&21&h\\5&-7&-3\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C5%26-7%26-3%5Cend%7Barray%7D%5Cright%5D)
Transform this matrix in a row-echelon form:
![\left[\begin{array}{ccc}-15&21&h\\0&0&-9+h\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D-15%2621%26h%5C%5C0%260%26-9%2Bh%5Cend%7Barray%7D%5Cright%5D)
For this row-echelon form to have solutions:
-9 + h = 0
h = 9
For this system to be consistent: h = 9.
Answer:
legs limit the number of chairs that can be built
Step-by-step explanation:
The maximum number of chairs that can be built will be the minimum of the number of parts divided by the number of parts needed for each chair, as computed across the different kinds of parts required.
seats: 12 available, used 1 per chair: 12/1 = 12 chairs possible
backs: 15 available, used 1 per chair: 15/1 = 15 chairs possible
legs: 44 available, used 4 per chair: 44/4 = 11 chairs possible
The maximum number of chairs that can be built will be the minimum of 12, 15, and 11. That is, 11 chairs can be built, limited by the number of available legs.
Step-by-step explanation:
b = what Bernie earns per day = Php 1000
m = what Mitch earns on a given day
e = what Eugene earns on a given day
r = what Rowan earns on a given day
a.
t = the total earnings of Bernie and Mitch on a given day
t = m + 1000 (or m + b)
b.
e = m/2
c.
r = 2×(m + 1000) or 2×t
