Answer:
36π in^2
Step-by-step explanation:
Area of a circle = π(6)^2 = 36π
Answer:
<h2><u>question 1</u></h2>
use product and sum method
product = -96
sum = -20
numbers needed = ( -24 , 4)
n - 24 = 0
n + 4 = 0
hence <u>n = 24 and n = -4 </u>
<u></u>
<h2><u>Question 2 </u></h2>
<u />
<u />
in the form 
= 
make use of the formula :
replace values to make 2 equations :
1.
= 3.17
2.
= -15.2
hence <u>x = 3.17 and x = -15.2</u>
<u />
<h2><u>Question 3 </u></h2>
<u />
<u />
use product and sum method
product = 40
sum = -14
numbers needed = (-10 , -4)
x - 10 = 0
x - 4 = 0
hence<u> x = 10 and x = 4</u>
<u />
<h2><u>Question 4 </u></h2>
<u />
<u />
in the form
this becomes 
= 
can simplify by 5
= 
use product and sum method
product = -5
sum = -4
numbers needed (-5 , 1)
b-5 = 0
b + 1 = 0
hence <u>b = 5 and b = -1</u>
<span>97.68 - 32.3=65.38 :)</span>
Answer: N=15
Step-by-step explanation: This is because (4n-18) when solved needs to equal 42. So when solving this you would change the equation to 42=4n-18 and then you need to isolate n. In order to do that you do the opposite so your equation becomes 42+18=4n or (60)=4n. And then you divide 60/4 and get n by itself. Therefore N=15.
Answer:
θ = 60° or θ = 120°, which in radians is equivalent to θ = π/3 rad or θ = 2π/3 rad.
Explanation:
The given equation is sin θ = (√3)/2
Solving that equation is finding the value of the angle, θ, whose sine is (√3)/2.
The function that returns the value of the angle whose sine is (√3)/2 is the inverse function of the sine and it has a special name: arc sine or arcsin.
Hence, θ = arcsin (√3)/2.
You can use your knowledge of the notable angles to solve for that equation.
1) The function sine is positive in first and second quadrants.
2) The angles in the first quadrant go from 0° to 90°.
3) The sine of 60° (√3)/2, Hence the first value of θ is 60°
4) The angles in the second quatrant go from 90° to 120°. 60° is the reference angle in the second quadrant, and the angle searched is
- 180° - reference angle = 180° - 60° = 120°. So, 120° is the other solution of the equation.
5) You can convert both angles to radians using the equivalence
- π radians = 180° ⇒ 1 = π rad / 180°
- 60° = 60° × π rad / 180° = π/ 3 rad
- 120° = 120° × π rad / 180° = 2π/3 rad
6) You can verify that sin 60° = (√3)/2 = sin 120° .
