Step-by-step explanation:
by Pythagoras :
H²= B²+ P²
(7+x)²= x²+ 9²
49 + 14x + x² = x²+81
14x = x² -x²+81 - 49
14x = 32
x = 32/14 = 16/7 = 2.28 cm = 2.30 cm
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Answer:
Every decade, the number of species decays by a factor of 0.0834.
Step-by-step explanation:
Let be
,
. The decay rate per decay is deducted from the following relation:
![\frac{S(t+10)}{S(t)} = \frac{25,000,000\cdot 0.78^{t+10}}{25,000,000\cdot 0.78^{t}}](https://tex.z-dn.net/?f=%5Cfrac%7BS%28t%2B10%29%7D%7BS%28t%29%7D%20%3D%20%5Cfrac%7B25%2C000%2C000%5Ccdot%200.78%5E%7Bt%2B10%7D%7D%7B25%2C000%2C000%5Ccdot%200.78%5E%7Bt%7D%7D)
![\frac{S(t+10)}{S(t)} = 0.78^{t+10-t}](https://tex.z-dn.net/?f=%5Cfrac%7BS%28t%2B10%29%7D%7BS%28t%29%7D%20%3D%200.78%5E%7Bt%2B10-t%7D)
![\frac{S(t+10)}{S(t)} = 0.78^{10}](https://tex.z-dn.net/?f=%5Cfrac%7BS%28t%2B10%29%7D%7BS%28t%29%7D%20%3D%200.78%5E%7B10%7D)
![\frac{S(t+10)}{S(t)} = 0.0834](https://tex.z-dn.net/?f=%5Cfrac%7BS%28t%2B10%29%7D%7BS%28t%29%7D%20%3D%200.0834)
Every decade, the number of species decays by a factor of 0.0834.
38 feet
In the first example the tree was 30 feet but the shadow was 10 feet taller due to the angle of the sun. Assume a 38 foot tree if right there with the same angle of the sun on it, then the shadow will also be 10 feet taller , 48 feet.
Answer:
x = 13.44444444
Step-by-step explanation: