Answer:
8:9
Step-by-step explanation:
ratio of areas = (ratio of sides)²
64/81 = (ratio of sides)²
Square root both sides
8/9 = ratio of sides
<em>Answer : </em><em>15 days</em>
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<em>Explanation?</em>
<em>Well considering it takes them 3 days to make 8, we would divide 40 by 8 which is 5 and multiply 3 and 5 to get 15 days in total.</em>
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<em>(( Max ))</em>
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The answer is 200 cm³
The volume of the rectangular prism (V1) is:
V1 = l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
Thus: V1 = 12 · 5 · 5 = 300 cm³
The volume of pyramid (V2) is:
V2 = 1/3 · l · w · h (l - length, w - width, h - height)
It is given:
h = 12 cm
w = l = 5 cm (since it has a square base which all sides are the same size).
V2 = 1/3 · 12 · 5 · 5 = 1/3 · 300 = 100 cm³
The volume of the space outside the pyramid but inside the prism (V) is a difference between the volume of the rectangular prism (V1) and the volume of the pyramid (V2):
V = V1 - V2 = 300 cm³ - 100 cm³ = 200 cm³
Answer:
sin(x) = cos(90°-x)
Step-by-step explanation:
Looking at the graphs of sin(x) and cos(x), you can see that the peaks of the graph are separated by a value of pi/2. If you convert that value into degrees, then the two graphs are separated by 90°. Another way of thinking is from the unit circle. sin(x) = 1 at 90°, and cos(x)=1 at 0°. The difference is still 90°