Check the picture below.
notice that the point A is the center of the circle, and thus the ∡BAF is a central angle, and the arc BF gets its angle measurement from ∡BAF, in red.
now, notice, ∡BAF has a twin
vertical angle, namely ∡CAE in green, and the arc made by ∡CAE is congruent to BF.
Based on the area of the tabletop with the inner circle, the area after the inner circle has been cut out is 12,309 inch².
<h3>How do we find the new area of the tabletop?</h3>
We are told that the area of the tabletop is 12,463 inch².
We then need to find the area of the circlular cutout as:
= π x radius x radius
= 3.14 x 7 x 7
= 154 inch²
The new area after the cutout is removed is therefore:
= Current area - area of circular cutout
= 12,463 - 154
= 12,309 inch ²
Rest of the question:
Area of table including the cutout is 12,463 square inches.
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Y = 1/2 +7
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Answer: option d.
Step-by-step explanation:
To solve this problem you must keep on mind the properties of logarithms:

Therefore, knowing the properties, you can write the expression gven in the problem as shown below:

Then, the answer is the option d.
Answer:
- The submarine's position means the distance it traveled is greater than 24 feet
- A possible position of the submarine is -27 feet
Step-by-step explanation:
Distance is generally a positive number. (Displacement, or position may be negative, as in this case.) If the sub started at 0 feet and went lower than -24 feet, it traveled a distance of more than 24 feet (greater than 24 ft).
Of the numbers listed, the only one lower than -24 is -27.