Hello,
sin² x-cos² x=sin² x-(1-sin² x)=2sin² x-1
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10/3 bran flakes can make a dozen muffins
A recipe requires 2 1/2 cups of bran flakes
The recipe can make 9 muffins
Let's calculate the amount of bran flakes it will take to make 1 muffin
5/2 = 9
x= 1
cross multiply
9x= 5/2
x= 5/18
A dozen is 12, the number of bran flakes to make a dozen can be calculated as follows
5/18= 1
y= 12
cross multiply
y= 5/18 × 12
y= 10/3
Hence it will take 10/3 to make a dozen muffins
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Answer:
(-2,-6) (6,2)
Step-by-step explanation:
The answer is a² + 6. "Sum of a squared and 6" means you square a value and then add 6 to it.
H = 16 cm
s = 16.0702 cm
a = 3 cm
e = 16.14 cm
r = 1.5 cm
V = 48 cm3
L = 96.421 cm2
B = 9 cm2
A = 105.421 cm<span>2
The volume of a square pyramid:V = (1/3)a2hSlant Height of a square pyramid:By the Pythagorean theorem, we know thats2 = r2 + h2since r = a/2s2 = (1/4)a2 + h2, ands = √(h2 + (1/4)a2)This is also the height of a triangle sideLateral Surface Area of a square pyramid (4 isosceles triangles):For the isosceles triangle Area = (1/2)Base x Height. Our base is side length a, and for this calculation our height for the triangle is slant height s. With four
sides we need to multiply by 4.L = 4 x (1/2)as = 2as = 2a√(h2 + (1/4)a2)Squaring the 2 to get it back inside the radical,L = a√(a2 + 4h2)Base Surface Area of a square pyramid (square):B = a2Total Surface Area of a square pyramid:A = L + B = a2 + a√(a2 + 4h2))A = a(a + √(a2 + 4h2))</span>