B=10 and a=8 because if we look at that shape we can see that is two right angles on the both sides of that tape and it's suggesting that the shape is equally to there another shape of that right angle
Answer:
A ≈ 35.3 units²
Step-by-step explanation:
Calculate the radius CB using Pythagoras' identity in the right triangle.
CB² + AB² = AC²
CB² + 6² = 9²
CB² + 36 = 81 ( subtract 36 from both sides )
CB² = 45 = r²
Then area of quarter circle is
A =
× πr² =
× π × 45 ≈ 35.3
Answer:
D
Step-by-step explanation:
A P E X
Answer:
3. m∠1 = 106° ~ this is because ∠1 and ∠2 together make a straight line and are therefore supplementary, meaning added together, they equal 180° (so I did 180° - 74° = 106°)
4. m∠3 = 74° ~ again, it is supplementary to ∠1. It is also equal to ∠2
5. m∠8 = 114° ~ angles opposite of each other (like 1 and 4) are equal (as we know from question 4). From there, we can use the corresponding angle theorem, so we know 4 and 8 are congruent. (also you can just know 1 and 8 are congruent by using the opposite exterior angles theorem)
6. m∠6 = 124° ~ using same-side interior angle theorem, they are supplementary angles (or the corresponding angles theorem mentioned above, make 4 congruent to 8, and 8 is supplementary to 6)
7. m∠7 = 96° ~ using same side exterior angle theorem, these angles are supplementary
8. m∠2 = 64° ~ again, same side exterior angle theorem
The length and breadth(width) of the pool are

Let

From the question, we can build the following relationships

subtracting to eliminate
(we do not even need it!)

we can also build another relationship from the question. Since the area of the strip equals the area of the pool:

We have two unknowns,
and
. Eliminate 

If we solve the quadratic equation for
, we get

and

The length and breadth(width) of the pool are

Learn more about area here: brainly.com/question/1447350