Answer:
<u>c + 8 ≤ -19</u>
Step-by-step explanation:
The number c increased by 6 is less than or equal to -19.
<u>c + 8 ≤ -19</u>
<u></u>
Radius: r=18 feet
Cental Angle: A=44°
Each cycle (one back and forth) lasts 12 seconds
In each cycle the pendulum swings:
L=(A/360°) 2 pi r
L=(44°/360°)(2)(3.141592654)(18 feet)
L=(0.122222222)(113.0973355 feet)
L=13.82300764 feet
Rounded to 3 decimal places:
L=13.823 feet
Each minute (60 seconds) the pendulum makes:
Number of cycles: n=(60 seconds) / (12 seconds)→n=5 cycles
Then, each minute, the pendulum swings:
T=nL=5(13.823 feet)→T=69.115 feet
Answer: Each minute, the pendulum swings 69.115 feet.
Answer:21
Step-by-step explanation:21
Answer: 
Step-by-step explanation:
<h3>
The complete exercise is: "A rectangular yard is 20 ft by 15 ft. The yard is cover with grass except for 8.5 feet square flower garden. How much grass is in the yard?"</h3><h3 />
The area of a rectangle can be calculated with the following formula:

Where "l" is the lenght of the rectangle and "w" is the width.
Based on the data given in the exercise, you can identify tha the length and the width of the rectangular yard are:

Then, you can substitute these values into the formula and then evaluate in order to find the area of the entire yard:

The area of the flower garden which is an square, can be calculated with this formula:

Where "s" is the side length.
In this case you know that:

Then the area of the flower garden is:

<em> </em>Since this is not covered with grass, you need to subtract both areas calculated above in order to find the surface covered with grass in the yard.
This is:

Answer:
128π or 402.12
Step-by-step explanation:
Vol of a sphere = 4/3πr³
Sub 2 into ^
Multiply by 12 to find vol of all 12 shapes
This is the volume of water needed