ANSWER
x=11
EXPLANATION
We want to solve the equation:
Add -8 to both sides:
Square both sides of the equation to get:
Rewrite in the form ax² +bx+c=0
Factor to get,
This implies that,
Checking for extraneous solutions.
When x=6, the original equation becomes,
2+8= 6 is not true.
x=6 is an extraneous solution.
When x=11, the original equation becomes,
This is true, hence x=11 is the only solution.
Answer:
8, 10Step-by-step explanation:
This isn't an identity, so I assume you have to solve the equation.
(1 - sin(2<em>A</em>)) (1 + cot(2<em>A</em>)) = cot(2<em>A</em>)
1 - sin(2<em>A</em>) + cot(2<em>A</em>) - sin(2<em>A</em>) cot(2<em>A</em>) = cot(2<em>A</em>)
1 - sin(2<em>A</em>) - cos(2<em>A</em>) = 0
sin(2<em>A</em>) + cos(2<em>A</em>) = 1
Multiply both sides by 1/√2, which we want to do because cos(<em>π</em>/4) = sin(<em>π</em>/4) = 1/√2. This gives
cos(<em>π</em>/4) sin(2<em>A</em>) + sin(<em>π</em>/4) cos(2<em>A</em>) = 1/√2
Then condense the left side as
sin(2<em>A</em> + <em>π</em>/4) = 1/√2
2<em>A</em> + <em>π</em>/4 = sin⁻¹(1/√2) + 2<em>nπ</em> <u>or</u> 2<em>A</em> + <em>π</em>/4 = <em>π</em> - sin⁻¹(1/√2) + 2<em>nπ</em>
(where <em>n</em> is any integer)
2<em>A</em> + <em>π</em>/4 = <em>π</em>/4 + 2<em>nπ</em> <u>or</u> 2<em>A</em> + <em>π</em>/4 = 3<em>π</em>/4 + 2<em>nπ</em>
2<em>A</em> = 2<em>nπ</em> <u>or</u> 2<em>A</em> = <em>π</em>/2 + 2<em>nπ</em>
<em>A</em> = <em>nπ</em> <u>or</u> <em>A</em> = <em>π</em>/4 + <em>nπ</em>
I think I know this one.
Answer: V = 600 unit 2
Step-by-step explanation:
We have that
the volume of the rectangular pyramid is
V = (1/3) BH
where
B is the area of the rectangular face
H is the height of the pyramid
step 1
Find out B
B = (15)(10) unit 2
step 2
Find the volume
B = 150 unit 2
H = 12 unit
substitute
V = (1/3)(150)(12)
V = 600 unit 2
I hope this help you! :)
