Answer:
Step-by-step explanation:
![\sqrt{5} \times \sqrt{10} \\ = \sqrt{5} \times \sqrt[]{5} \times \sqrt{2} \\ = 5\sqrt{2}](https://tex.z-dn.net/?f=%20%5Csqrt%7B5%7D%20%20%5Ctimes%20%20%5Csqrt%7B10%7D%20%20%5C%5C%20%20%3D%20%20%5Csqrt%7B5%7D%20%20%5Ctimes%20%20%5Csqrt%5B%5D%7B5%7D%20%20%5Ctimes%20%20%5Csqrt%7B2%7D%20%20%5C%5C%20%20%20%3D%205%5Csqrt%7B2%7D%20)
<h3>Hope it is helpful....</h3>
Answer:
(a) dy/dt = 68 - 3.72t
(b) 64.28m/s
Step-by-step explanation:
Given y = 68t - 1.86t²
Average Speed is rate of chance of distance with respect to time. Written as dy/dt
To obtain dy/dt, we differentiate y with respect to t, doing that, we have
dy/dt = 68 - 2(1.86)t
= 68 - 3.72t
(a) dy/dt = 68 - 3.72t
(b) To estimate the speed when t = 1, we substitute t = 1 in dy/dt .
dy/dt at t = 1 is
68 - 3.72(1)
= 68 - 3.72
= 64.28
The speed at t = 1 is 64.28m/s
Answer:
50.80 cm^3
Step-by-step explanation:
the polyhedron is a rectangular pyramid
Volume of a rectangular pyramid = 1/3 x ( width x height x length)
1/3 ( 4 x 5 x 3) = 20 inches
we need to convert inches to cm
1 in = 2.54 cm
20 x 2.54 = 50.80 cm^3
One way in which to approach this problem would be to treat it as an equation of ratios and to cross multiply:
<span>[(4x + 15) / 5x)] = 1/2 could be written as:
4x + 15 1
----------- = ---
5x 2
Then 8x + 30 = 5x
3x = -30, and so x = -10 (answer). Be certain to check this answer through substitution!
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