Answer:
B: 81π inches
Step-by-step explanation:
The formula for the circumference of a circle is C = πd and the formula for the area of a circle is A = πr²
- The formula for the circumference of a circle can also be written as C = 2πr since the diameter is equal to double the radius (d = 2r)
- So we need to solve for r since that is the variable we are missing in order to solve for the area
Plugging in our known values to the circumference formula we have:
- 18π = 2πr
- Then dividing both sides by 2π we have 9 = r
Now that we have solved for the radius, we can plug in this value to the area formula:
It is the answer of .6 i think
Answer:
19 units
Step-by-step explanation:
Perimeter of the rectangle = 124 units
width = x units
length = 5 + 2x units
The perimeter of a rectangle is given by;
P = 2(l + b)
Substituting values;
124 = 2[(5 + 2x) + x]
124 = 2[5 + 3x]
124 = 10 + 6x
124 - 10 = 6x
114 =6x
x= 114/6
x = 19
width = 19 units
Answer: 1144
Step-by-step explanation:
Given: Machine A makes 7 parts every 10 minutes.
i.e. it makes 
parts in 1 minute.
Machine B makes 16 parts every 15 minutes.
i.e. it makes 
parts in 1 minute.
On Monday,
machine A makes parts for 12 hours(720 minutes). [1 hour = 60 minutes, 12 hours = 12 x 6 = 720 minutes]
i.e. Total parts made = 
i.e. Total parts made = 504
machine B makes parts for 10 hours(=60x 10=600 minutes)
i.e. Total parts made = 
i.e. Total parts made = 640
Total parts made by both machines = 504+640 =1144
Hence, the total number of parts made by the two machines on Monday=1144.
<span>If a matrix is invertible, there are many solutions to Ax=0, I am referring to both homogeneous and non-homogeneous types.</span>
