Answer:
2
Step-by-step explanation:
this is the correct answer
Answer:
G. 7600 
Step-by-step explanation:
Step 1: Deconstruct the shape
2 rectangles with dimension of 50 cm x 20 cm
2 rectangles with dimension of 40 cm x 20 cm
2 rectangles with dimension of 40 cm x 50 cm
Step 2: Find surface area of the shapes
2(50 x 20) = 2000
2(40 x 20) = 1600
2(40 x 50) = 4000
Step 3: Add the surface areas together
2000 + 1600 + 4000 = 7600
Therefore the surface area is 7600 and the answer is G.
Answer:
45
Step-by-step explanation:
8cm=67-8
Answer:
An improper fraction is when the numerator of the fraction is larger than the denominator
For example, 13/4 is improper because 13 > 4
An improper fraction can be changed into a mixed number by dividing the numerator by the denominator
For example, 13 divided by 4 is 3 with remainder 1, or 3 1/4
Step-by-step explanation:
By definition of tangent,
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
Recall the double angle identities:
sin(2<em>θ</em>) = 2 sin(<em>θ</em>) cos(<em>θ</em>)
cos(2<em>θ</em>) = cos²(<em>θ</em>) - sin²(<em>θ</em>) = 2 cos²(<em>θ</em>) - 1
where the latter equality follows from the Pythagorean identity, cos²(<em>θ</em>) + sin²(<em>θ</em>) = 1. From this identity we can solve for the unknown value of sin(<em>θ</em>):
sin(<em>θ</em>) = ± √(1 - cos²(<em>θ</em>))
and the sign of sin(<em>θ</em>) is determined by the quadrant in which the angle terminates.
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We're given that <em>θ</em> belongs to the third quadrant, for which both sin(<em>θ</em>) and cos(<em>θ</em>) are negative. So if cos(<em>θ</em>) = -4/5, we get
sin(<em>θ</em>) = - √(1 - (-4/5)²) = -3/5
Then
tan(2<em>θ</em>) = sin(2<em>θ</em>) / cos(2<em>θ</em>)
tan(2<em>θ</em>) = (2 sin(<em>θ</em>) cos(<em>θ</em>)) / (2 cos²(<em>θ</em>) - 1)
tan(2<em>θ</em>) = (2 (-3/5) (-4/5)) / (2 (-4/5)² - 1)
tan(2<em>θ</em>) = 24/7
