Answer:
(15°, 165°)
Step-by-step explanation:
Given the equation 6 sin2(x) = 3, we are to find the value of x that satisfies the equation in the interval [0, 2π]
Given
6 sin2(x) = 3,
Divide both sides by 6
6 sin2(x)/6 = 3/6
sin2(x) = 1/2
2x = sin^-1(0.5)
2x = 30°
x = 30°/2
x = 15°
Since sin is positive in the second quadrant, x2 = 180-15
x = 165°
Hence the values within the interval are 15 and 165.
(15°, 165°)
The numbers are irrational, so they can't be exactly written down
using only digits.
In exact form, they are
1 + √57
and
1 - √57 .
In rounded form, they are
8.54983
and
-6.54983 .
Answer:
B
Step-by-step explanation:
The cylindrical part
Area of the cylindrical part = Circumference of the circle * height
Area of the cylindrical part = pi * d * height
Area = 3.14 * 10 * 9
Area = 282.6
Lid
Area = pi * r^2
r = 5
Area = 3.14* 5^2 * 2
Area = <u> 157</u>
Total 439.6
I know this doesn't look right according to the diagram, but it is the only way that you can solve the question. That is, you must assume there are two lids, not one as the diagram suggests.
Answer:
150
Step-by-step explanation:
The exterior angle is equal to the sum of the opposite interior angles
<1 + <2 = <3
3x+11 + 3x+19 = 7x+10
Combine like terms
6x+30 = 7x+10
Subtract 6x from each side
6x -6x+30 = 7x-6x+10
30 = x+10
Subtract 10 from each side
30-10 = x+10-10
20 =x
We need to find angle 3
<3 = 7x+10
= 7(20)+10
= 140+10
= 150
Answer is C
Each additional year of
