Answer:
AB=18cm
Step-by-step explanation:
sabendo que sin∅=0.6 então
0.6=AB/30cm ⇒ AB=0.6*30cm ⇒ AB=18cm
Answer:
(x + 1)(x + 4)
Step-by-step explanation:
We want to factor x² + 5x +4 into two binomial factors. Note that 1*4 = 4 and that 1 + 4 = 5, so:
y = x² + 5x +4 = (x + 1)(x + 4)
Answer:
(b) Both vertical and horizontal reflection
Step-by-step explanation:
The figure will be a horizontal reflection of itself about any vertical line through two of the smaller 6-pointed stars.
The figure will be a vertical reflection of itself about any horizontal line through two of the smaller 6-pointed stars.
the pattern has both vertical and horizontal reflection
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<em>Additional comment</em>
A pattern will have horizontal reflection if there exists a vertical line about which the pattern can be reflected to itself. That is, there exists one (or more) vertical lines of symmetry.
Similarly, the pattern will have vertical reflection if there is a horizontal line about which the pattern can be reflected to itself. Such a line is a horizontal line of symmetry.
Answer:
Length A: 5 ft
Width B: 4 ft
volume = 88 ft³
Step-by-step explanation:
Length A: 8 - 3 = 5 ft
Width B: 8 - 4 = 4 ft
<u>Volume</u>
The easiest way to calculate the volume is to split the trough into two rectangular prisms. (imagine drawing a horizontal line from the internal corner of A and 4ft to the left 8ft side).
Volume of a rectangular prism = width x length x height
Volume of rectangular prism 1: B x 8 x 2 = 4 x 8 x 2 = 64 ft³
Volume of rectangular prism 2: 3 x 4 x 2 = 24 ft³
Total volume = 64 + 24 = 88 ft³
