Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
Answer:
108°
Step-by-step explanation:
The area of a sector is given by the formula ...
A = (1/2)r²θ . . . . . where θ is in radians
Solving for θ, we find ...
θ = 2A/r²
For your given sector, the central angle is ...
θ = 2(30π cm²)/(10 cm)² = 0.6π . . . . radians
π radians is 180°, so the central angle in degrees is ...
θ = (0.6)(180°) = 108°
The central angle measure of the sector is 108°.
Answer:
Since radical 45 is equal to radical 9 times radical 5, and because radical 9 is equal to 3 (since 9 is a perfect square), we can simplify radical 45 to 3 times radical 5
Answer:
3. D 4. B hope this helped :)
