Answer:
x^2 -12x+36
Step-by-step explanation:
x^2 – 12x
Take the coefficient of x
-12
Divide by 2
-12/2 = 6
Square it
6^2 = 36
We need to add 36 to make x^2 -12x a perfect square trinomial
x^2 -12x+36
The value of x from the given triangle is 32√3/3
<h3>SOH CAH TOA identity</h3>
In order to determine the value of x, first we need to determine the hypotenuse side of the smaller triangle.
sin 60 = 8√2/H
H = 8√2/sin60
H = 8√2 * 2/√3
H = 16√2/√3
H = 16√6/3
For the value of x, we will use the expression
sin45 = (16√6/3)/x
1/√2 = 16√6/3x
3x = 16√12
3x = 32√3
x = 32√3/3
Hence the value of x from the given triangle is 32√3/3
Learn more on SOH CAH TOA here: brainly.com/question/20734777
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To store more containers for higher stocks and space
Complementary angles add up to 90 degrees so if one is 29.6 degrees you subtract 29.6 from 90 so the answer is 60.4 degrees.
Answer:
The area of the shaded region is 125.664 square centimetre
Step-by-step explanation:
Area of the shaded region = area of the circle with radius 7 cm - area of the circle with radius 3 cm----------------(1)
<u>Step 1: Finding the area of the circle with radius 7 cm</u>
Area of the circle A = 
On substituting the value of the radius, we get
Area of the circle A =
Area of the circle A = 
square centimetre----------------(2)
<u>Step 2: Finding the area of the circle with radius 3 cm</u>
Area of the circle a =
On substituting the value of the radius, we get
Area of the circle a = 
Area of the circle a = 
square centimetre ----------------(3)
<u>Step 3: Finding the area of the shaded region</u>
Area of the shaded region = 
= 
= 125.664 square centimetre
