3 : 4 : 5 = 3² : 4² : 5² = 9 : 16 : 25
The answer is B.
Hope this helps.
Answer:
![t_1\approx2.18](https://tex.z-dn.net/?f=t_1%5Capprox2.18)
![t_2\approx0.57](https://tex.z-dn.net/?f=t_2%5Capprox0.57)
Step-by-step explanation:
![h=7+44t-16t^2](https://tex.z-dn.net/?f=h%3D7%2B44t-16t%5E2)
![27=7+44t-16t^2](https://tex.z-dn.net/?f=27%3D7%2B44t-16t%5E2)
![0=-20+44t-16t^2](https://tex.z-dn.net/?f=0%3D-20%2B44t-16t%5E2)
![0=-16t^2+44t-20](https://tex.z-dn.net/?f=0%3D-16t%5E2%2B44t-20)
![t=\frac{-b\pm\sqrt{b^2-4ac}}{2a}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%7Bb%5E2-4ac%7D%7D%7B2a%7D)
![t=\frac{-44\pm\sqrt{44^2-4(-16)(-20)}}{2(-16)}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B44%5E2-4%28-16%29%28-20%29%7D%7D%7B2%28-16%29%7D)
![t=\frac{-44\pm\sqrt{1936-1280}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B1936-1280%7D%7D%7B-32%7D)
![t=\frac{-44\pm\sqrt{656}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm%5Csqrt%7B656%7D%7D%7B-32%7D)
![t=\frac{-44\pm4\sqrt{41}}{-32}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-44%5Cpm4%5Csqrt%7B41%7D%7D%7B-32%7D)
![t=\frac{11}{8}\pm\frac{\sqrt{41}}{8}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B11%7D%7B8%7D%5Cpm%5Cfrac%7B%5Csqrt%7B41%7D%7D%7B8%7D)
![t_1\approx2.18](https://tex.z-dn.net/?f=t_1%5Capprox2.18)
![t_2\approx0.57](https://tex.z-dn.net/?f=t_2%5Capprox0.57)
Answer:
Answer:
t = 3.8 s
option 3
Step-by-step explanation:
For this case we have the following equation:
h (t) = at ^ 2 + v * t + h0
Substituting values we have:
h (t) = - 16 * t ^ 2 + 60 * t + 3
We equate the equation to zero:
-16 * t ^ 2 + 60 * t + 3 = 0
We look for the roots of the polynomial:
t1 = -0.04935053979258153
t2 = 3.7993505397925817
We are left with the positive root and round:
t2 = 3.8 s
Answer:
3. relieve and alleviate (S)
4. loll and sprawl (S)
5. coax and cajole (S)
Hope this helps! :)
Answer:
the product of the two numbers
Step-by-step explanation:
The LCM of two numbers is their product, divided by their GCF. If their GCF is 1, then the LCM will be their product. That is the most it can be.
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We assume you're concerned with whole numbers. For rational numbers, the GCF may be a fraction, so the LCM may be larger than the product of the numbers.
LCM(5, 6) = 5·6/GCF(5, 6) = 5·6/1 = 30
LCM(1/2, 3/4) = (1/2)(3/4)/GCF(1/2, 3/4) = (3/8)/(1/4) = 3/2