Hey there!
10 * 8 = 8 * e
10 * 8 = 80
80 = 8 * e
8 * e = 80
8e = 80
DIVIDE 8 to BOTH SIDES
8e/8 = 80/8
CANCEL out: 8/8 because that gives you 1
KEEP: 80/8 because that gives the value of x
x = 80/8
80/8 = x
10 = x
x = 10
Therefore your answer is: 10
Because, 10 * 8 = 8 * 10
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Use the addition and subtraction theorem:
sin (A + B) = sin A + cos B
sin (A - B) = sin A - cos B
From there it's just a matter of simplification.
sin A cos B = 1/2 [ sin (A + B) + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin (A - B) ]
sin A cos B = 1/2 [ sin A cos B + cos A sin B + sin A cos B - cos A sin B ]
sin A cos B = 1/2 [ 2 sin A cos B ]
sin A cos B = sin A cos B
We are given with the equation
1/sin 18 - 1/sin 54 = 2
We are meant to verify if the equation is true
So,
(sin 54 - sin 18)/ sin 18 sin 54 = 2
sin 54 - sin 18 = 2 sin 18 sin 54
sin 18*3 - sin 18 = 2 sin 18 sin 18*3
Use trigonometric identities to verify the equation.
The identities to use are the double and product of angles.<span />
The answer is D because dilation means to get bigger. I remember it like how a vagina gets bigger before having a baby so it dilates. Multiply all edges by 3 and the correct answer is D
The surface area of the geometric shape is B. 840 cm².
Step-by-step explanation:
Step 1:
The given figure is made up of three rectangles and two triangles.
The surface area of the geometric shape is given by summing the individual surface areas.
The geometric shape's surface area = The sum of the individual surface areas.
Step 2:
The surface area of the rectangles is the multiplication of its length and width.
The surface area of the rectangle with length z and width x 
.
The surface area of the rectangle with length y and width x 
.
The surface area of the rectangle with length x and width x 
.
Step 3:
The area of a triangle is half the product of its base length and height.
The surface area of a triangle with base y and height x
.
They are two similar triangles so their areas are equal
Step 4:
The geometric shape's surface area 
.
So the surface area is option B. 840 cm².
