Answer: volume = 1282.2 ft³
Step-by-step explanation:
The composite figure consists of a cone and a cylinder. The volume of the composite figure is
Volume of cylinder + volume of cone.
The formula for determining the volume of a cylinder is expressed as
Volume = πr²h
Where
r represents the radius of the cylinder.
h represents the height of the cylinder.
π is a constant whose value is 3.14
From the information given,
Radius = 7 ft
Height = 6 ft
Volume = 3.14 × 7² × 6 = 923.16ft³
The formula for determining the volume of a cone is expressed as
Volume = 1/3πr²h
From the information given,
Radius = 7 ft
Height = 7ft
Volume = 1/3 × 3.14 × 7² × 7 = 359ft³
Volume of composite solid =
923.16 + 359 = 1282.2 ft³
We are given : Rate for regular pay = $12 per hour.
Rate for over time = $12 and a half rate of $12, that is 12+ 12/2 =12+6= $18 per hour.
We need to find the total pay for 40 hours of regular time and 10 hours of overtime.
<em>Pay for 40 hours at the rate $12 per hour = 40 × 12 = $480.</em>
<em>Pay for 10 hours of overtime at the rate $18 per hour = 10 × 18 = $180. </em>
Total payment for 40 hours of regular time and 10 hours of overtime = 480 + 180=$660.
<h3>Therefore total pay or 40 hours of regular time and 10 hours of overtime is $660.</h3>
Answer:
See attached diagram
Step-by-step explanation:
Triangle ABC has vertices A(9,3), B(-7,-5) and C(-3,7).
The dilation with a scale factor of 1/4 centered at (5, -5) has the rule

Then



Answer:
3, 6, 9, 12, 15
adding 3 each time
or
3, 9, 27, 81, 243
multiplying by 3 each time
Step-by-step explanation: