9514 1404 393
Answer:
A. 53.5cm^2
Step-by-step explanation:
The area of the circle is ...
A = πr²
A = 3.14(5 cm)² = 78.5 cm²
The area of the triangle is ...
A = 1/2bh
A = 1/2(10 cm)(5 cm) = 25 cm²
The shaded area is the difference between the circle area and the triangle area:
shaded = 78.5 cm² -25 cm² = 53.5 cm²
_____
<em>Additional comment</em>
As with many multiple-choice questions, you can simply pick the answer that is not outlandish. The circle will fit into a square that is 10 cm on a side, so its total area is less than 100 cm² (eliminates choice B).
The shaded area is definitely more than 1/4 of that 100 cm² square, so choices C and D are eliminated, too. The only choice that is not unreasonable is choice A.
Answer:
Step-by-step explanation:
<u>Missing reasons are:</u>
- 2. Vertical angles theorem
- 3. Definition of vertical angles
- 4. Third angle theorem
- 5. Given
- 6. Given
- 7. Definition of bisect
- 8. SSS
Answer:
870 cm³
Step-by-step explanation:
V= lwh
V= 15cm*5.8cm*10cm= 870 cm³
Answer:
The graph g(x) is vertically shrunk by a factor of 1/9.
Step-by-step explanation:
Parent Graph: f(x) = a√(bx - c) + d
Since we are only modifying <em>a</em>, we are dealing with vertical shrink (a < 1) and stretch (a > 1). Since 1/9 < 1, we have a vertical shrink by a factor of 1/9.
The answer is 18 because 3 times 6 is 18