Scott correctly writes each fraction below as a decimal. Will the decimal Scott writes for each fraction terminate or repeat?
1 answer:
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Answer:
Option B. The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Step-by-step explanation:
<u><em>The picture of the question in the attached figure</em></u>
we know that
The volume of a rectangular prism is equal to
where
B is the area of the base of the prism
H is the height of the prism
In this problem we have
The area of the base B is equal to
The height H is equal to
therefore
The volume is equal to
The volume is the product of the area of the base, 2x(2x + 5), and the height, 2x – 3
Answer: The sailboat is at a distance of 15 km from the port.
Step-by-step explanation: Given that a sail boat leaves port and sails 12 kilometers west and then 9 kilometers north.
We are to find the distance between the sailboat from the port in kilometers.
Since the directions west and north are at right-angles, we can visualize the movement of the sailboat in the form of a right-angled triangle as shown in the attached figure.
The sailboat moves leaves the port at P and reach O after sailing 12 km west. From point O, again it moves towards north 9 km and reach the point S.
PS = ?
Using the Pythagoras theorem, we have from right-angled triangle SOP,
Thus, the sailboat is at a distance of 15 km from the port.
