The correct
definition for cot theta is (cos theta)/(sin theta). <span>Cotangent </span><span>(in a right-angled triangle) the ratio of the side (other than the hypotenuse) adjacent to a particular acute angle to the side opposite the angle. </span>I
am hoping that this answer has satisfied your query and it will be able to help
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Answer:
- The area of the base of the pyramid, B, is 24 cm
- A rectangular prism with the dimensions of 9 cm by 4 cm by 6 cm will have 3 times volume of this pyramid.
Step-by-step explanation:
Volume of a rectangular based pyramid = 1/3{Base area × Height}
Base Area = Length × Breadth
Volume = 1/3{(Length × Breadth) × Height}
Given a rectangular pyramid with a height of 9 centimeters and a base with the dimensions of 4
centimeters by 6 centimeters
Base Area = 4cm × 6cm
Base area = 24cm²
If Height =9cm
Volume of the pyramid = 1/3 × 24 × 9
Volume = 24 × 3
Volume of the pyramid = 72cm³
If the shape is a prism, the volume will be base area × height
= 24 × 9
= 216cm³
It can be seen that volume of rectangular prism = 3 × volume of rectangular pyramid.
Answer
Find out the how long will it take the submarine to descend to the ocean floor
To proof
Formula

where d = distance traveled (or descended),
r = rate of travel , t = time
As given
A submarine descends at a rate of 2.6 kilometers per hour. If the ocean floor is 6.24 kilometers below sea level .
put all the values in the above formula


t = 2.4 hour
it take 2.4 hours the submarine to descend to the ocean floor .
Hence proved