Answer:
the correct answer is -2 1/8
Step-by-step explanation: i hope this helps
Answer:
Step-by-step explanation:
Pythagorean Theorem: a^2+b^2=c^2.
15^2+ b^2=25^2
225+b^2= 625
b^2=400
b= 20 or x=20
Answer:
y = 178.3 ft
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan27° =
= ![\frac{y}{350}](https://tex.z-dn.net/?f=%5Cfrac%7By%7D%7B350%7D)
Multiply both sides by 350
350 × tan27° = y, hence
y = 178.3
ANSWER
0.84375 mm
EXPLANATION
The velocity function is given by:
![v = 6t - 6 {t}^{2}](https://tex.z-dn.net/?f=v%20%3D%206t%20-%206%20%7Bt%7D%5E%7B2%7D%20)
To find the displacement function, we integrate:
![s = \int \: 6t - 6 {t}^{2}d t](https://tex.z-dn.net/?f=s%20%3D%20%20%5Cint%20%5C%3A%206t%20-%206%20%7Bt%7D%5E%7B2%7Dd%20t)
![s (t) = 3 {t}^{2} - 2 {t}^{3} + c](https://tex.z-dn.net/?f=s%20%28t%29%20%3D%203%20%7Bt%7D%5E%7B2%7D%20%20-%202%20%7Bt%7D%5E%7B3%7D%20%20%2B%20c)
The initial displacement is zero.
This implies that,
![3 {(0)}^{2} - 2 {(0)}^{3} + c = 0](https://tex.z-dn.net/?f=3%20%7B%280%29%7D%5E%7B2%7D%20%20-%202%20%7B%280%29%7D%5E%7B3%7D%20%20%2B%20c%20%3D%200)
![c = 0](https://tex.z-dn.net/?f=c%20%3D%200)
This gives us,
![s (t) = 3 {t}^{2} - 2 {t}^{3}](https://tex.z-dn.net/?f=s%20%28t%29%20%3D%203%20%7Bt%7D%5E%7B2%7D%20%20-%202%20%7Bt%7D%5E%7B3%7D%20)
After t=0.75s,
![s (0.75) = 3 {(0.75)}^{2} - 2 {(0.75)}^{3} + c](https://tex.z-dn.net/?f=s%20%280.75%29%20%3D%203%20%7B%280.75%29%7D%5E%7B2%7D%20%20-%202%20%7B%280.75%29%7D%5E%7B3%7D%20%20%2B%20c)
![s (0.75) = 0.84375](https://tex.z-dn.net/?f=s%20%280.75%29%20%3D%200.84375)