Answer:
r=6
Step-by-step explanation:
The area of a circle is given by πr². Note that this uses the radius, not the diameter.
Now, one quarter of this area (ABC) is given to be 9π.
So apparently:
If you solve this:
(divide both sides by π)
(multiply both sides by 4)
so
r = √36 = 6
so the radius is 6.
42 cl / detikk
<span>maap if salahh
</span>Dm to cl = 100
so 5 times 100 minus 8 = 492 cl / d3tik
Answer:
k = 2
Step-by-step explanation:
Given that x = - 1 is a root of the equation, then it satisfies the equation.
Substitute x = - 1 into the equation and solve for k, that is
3(- 1)² - 2k - 2(- 1) - 1 = 0
3 - 2k + 2 - 1 = 0
- 2k + 4 = 0 ( subtract 4 from both sides )
- 2k = - 4 ( divide both sides by - 2 )
k = 2
x = 9.21° or x = 22.5°
cot²2x – 4cot2x + 3 = 0
Let cot2x = y
y² - 4y + 3 = 0
Factorizing, we have
y² - y - 3y + 3 = 0
y(y - 1) -3(y - 1) = 0
(y - 1)(y - 3) = 0
y - 1 = 0 or y - 3 = 0
y = 1 or y = 3
Since cot2x = y
cot2x = 1 or cot2x = 3
1/tan2x = 1 or 1/tan2x = 3
tan2x = 1 or tan2x = 1/3
2x = tan⁻¹(1) or 2x = tan⁻¹(1/3)
2x = 45° or 2x = 18.43°
x = 45°/2 or x = 18.43°/2
x = 22.5° or x = 9.21°
So, x = 9.21° or x = 22.5°
Learn more about cotx here:
brainly.com/question/15546709
Answer:
s=6
Step-by-step explanation:
18/s = 3
Multiply each side by s
18/s *s = 3*s
18 =3s
Divide each side by 3
18/3 =3s/3
6 =s
