3. Evaluate and graph the solution. 3. E the "the 5x + 9-3x s 21 + ++
1 answer:
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Answer:
38%
Step-by-step explanation:
Original price = $ 80
Price after reduction = $ 49.60
Reduction = 80 - 49.60 = $30.40
Percentage of decrease =
= 38%
Answer:
<h3>6 degrees</h3>Step-by-step explanation
Find the diagram attached. In Line geometry, there is a theorem that states that the sum of the adjacent interior angles is 180 degrees. According to the diagram, the adjacent interior angles are 7x- 15 and 24x + 9.
The sum of this angles must give 180 degrees as shown;
7x-15 + 24x + 9 = 180
7x+24x-15+9 = 180
31x-6 = 180
31x = 180+6
31x = 186
x = 186/31
x = 6
Hence the value of x is 6 degrees
Answer:
The volume of the finished cylinder is
Step-by-step explanation:
To find the volume of the finished cylinder, we have to first find the volume of the hole (with 14 cm diameter and a height of 28 cm) and subtract it from the volume of the original cylinder (with diameter of 20 cm and a height of 28 cm).
Note: The hole is also cylindrical in shape.
The volume of a cylinder is given as:
where r = radius, h = height
VOLUME OF THE HOLE
The diameter of the hole is 14 cm, hence, its radius is 7 cm (14 / 2 = 7)
Its volume is:
VOLUME OF THE ORIGINAL CYLINDER
The diameter of the cylinder is 20 cm, hence, its radius is 10 cm (20 / 2 = 10)
Its volume is:
Hence, the volume of the finished cylinder will be:
The volume of the finished cylinder is