Answer:
t ≤ 4.24
Step-by-step explanation:
P(t) ≥ 40000 implies
500t/(2t²+9) ≥ 40000
Multiplying through by t², we have
500t ≥ 40000(2t²+9)
500t/40000 ≥ 2t²+9
Collecting like terms
0.0125t ≥ 2t²+9
0 ≥ 2t²+ 9 - 0.0125t
2t²+ 9 - 0.0125t ≤ 0
2t²- 0.0125t + 9 ≤ 0
Using the quadratic formula,
The factors of the equation are (t - 0.00313 -4.24i) and (t - 0.00313 + 4.24i)
So, (t - 0.00313 -4.24i)(t - 0.00313 + 4.24i) ≤ 0
(t - 0.00313)² - 4.24² ≤ 0
(t - 0.00313)² ≤ 4.24²
taking square-root of both sides,
√(t - 0.00313)² ≤ √4.24²
t - 0.00313 ≤ 4.24
t ≤ 4.24 + 0.00313
t ≤ 4.24313 ≅ 4.24
t ≤ 4.24
<em>98 cm²</em>
- Step-by-step explanation:
<em>A(parallelogram) = PR×CD</em>
<em>252cm² = PR×18cm</em>
<em>PR = 252cm²/18cm</em>
<em>= 14 cm</em>
<em>PR = diameter => radius = d/2 = 14cm/2 = 7 cm </em>
<em>A(circle) = π×r²</em>
<em>= 22/7 × (7cm)²</em>
<em>= 22/7 × 49cm²</em>
<em>= 154 cm²</em>
<em>A(shaded) = A(parallelogram) - A(circle)</em>
<em>= 252cm² - 154cm²</em>
<em>= 98 cm²</em>
Make sure to not use the useless numbers on the slant. Also remember to divide by two at the end of calculating.
For this question you can say:
154/11 = 252/?
so ? is the hours she would work:
252*11/154 = 18 hours :)))
i hope this is helpful
have a nice day
Answer:
Arc length of the partial circle = 3π units
Step-by-step explanation:
Given question is incomplete; please find the complete question attached.
Formula for the arc length of a circle =
Here θ is the angle formed by the sector at the center.
Angle that is formed at the center of the circle is = 360° - 90°
= 270°
So, length of the arc =
= 3π
Therefore, length of the given partial circle is 3π units.