Simplify the expression -4x – 7+3 – 8x
2 answers:
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Answer:
BC 4 in
Step-by-step explanation:
The steps for construction;
- Using a ruler draw line AB 4 inches and label the end points A and B
- At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
- Mark that point C.
- Using the ruler, join point C and B and measure BC.
From calculation, length BC can be found by the formula;
------where a=b=4 in , cos A = cos 60°
BC = 4 in
The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.
Step-by-step explanation:
The given is,
Composite figure made of a cone and a cylinder.
A cone has a height of 8 centimeters and radius of 3 centimeters.
A cylinder has a height of 7 centimeters and radius of 3 centimeters.
Step:1
Volume of composite figure = Volume of Cone +
Volume of cylinder............(1)
Step:2
Formula for volume of cone,
....................(2)
Where, r - Radius of cone
h - Height of cone
From the given,
r = 3 centimeters
h = 8 centimeters
Equation (2) becomes,
= (3.14 × 9 × 2.667) (∵ = 3.1415)
= 75.4
= 75.4 cubic centimeters
Step:3
Formula for volume of cylinder,
....................(2)
Where, r - Radius of cylinder
h - Height of cylinder
From the given,
r = 3 centimeters
h = 7 centimeters
Equation (2) becomes,
= (3.14 × 9 × 7) (∵ = 3.1415)
= 197.92
= 197.92 cubic centimeters
Step:4
Equation (1) becomes,
Volume of composite figure = 75.4 + 197.92
= 273.32 cubic centimeters
Result:
The volume of cone is 75.4 cubic centimeters and the volume of cylinder is 197.92 cubic centimeters. The volume of composite figure is 273.32 cubic centimeters.