Answer:
a = 139.1
b = 56.2
Step-by-step explanation:
A. Reference angle = 68°
Opp = a
Hyp = 150
Therefore:
Sin 68 = opp/hyp
Sin 68 = a/150
150*sin 68 = a
a = 139.1 (nearest tenth)
B. Reference angle = 68°
Adj = b
Hyp = 150
Therefore:
Cos 68 = adj/hyp
Cos 68 = b/150
150*cos 68 = b
b = 56.2 (nearest tenth)
Answer:
An equation is a mathematical statement that shows the equal value of two expressions while an inequality is a mathematical statement that shows that an expression is lesser than or more than the other. 2. An equation shows the equality of two variables while an inequality shows the inequality of two variables.
Step-by-step explanation:
hope this helps!
Answer: 125/x^18
Step-by-step explanation: this should be the answer
Volume of water in the tank:
![V=\pi (2\,\mathrm m)^2h=\pi(200\,\mathrm{cm})^2h](https://tex.z-dn.net/?f=V%3D%5Cpi%20%282%5C%2C%5Cmathrm%20m%29%5E2h%3D%5Cpi%28200%5C%2C%5Cmathrm%7Bcm%7D%29%5E2h)
Differentiate both sides with respect to time <em>t</em> :
![\dfrac{\mathrm dV}{\mathrm dt}=\pi(200\,\mathrm{cm})^2\dfrac{\mathrm dh}{\mathrm dt}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dV%7D%7B%5Cmathrm%20dt%7D%3D%5Cpi%28200%5C%2C%5Cmathrm%7Bcm%7D%29%5E2%5Cdfrac%7B%5Cmathrm%20dh%7D%7B%5Cmathrm%20dt%7D)
<em>V</em> changes at a rate of 2000 cc/min (cubic cm per minute); use this to solve for d<em>h</em>/d<em>t</em> :
![2000\dfrac{\mathrm{cm}^3}{\rm min}=\pi(40,000\,\mathrm{cm}^2)\dfrac{\mathrm dh}{\mathrm dt}](https://tex.z-dn.net/?f=2000%5Cdfrac%7B%5Cmathrm%7Bcm%7D%5E3%7D%7B%5Crm%20min%7D%3D%5Cpi%2840%2C000%5C%2C%5Cmathrm%7Bcm%7D%5E2%29%5Cdfrac%7B%5Cmathrm%20dh%7D%7B%5Cmathrm%20dt%7D)
![\dfrac{\mathrm dh}{\mathrm dt}=\dfrac{2000}{40,000\pi}\dfrac{\rm cm}{\rm min}=\dfrac1{20\pi}\dfrac{\rm cm}{\rm min}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Cmathrm%20dh%7D%7B%5Cmathrm%20dt%7D%3D%5Cdfrac%7B2000%7D%7B40%2C000%5Cpi%7D%5Cdfrac%7B%5Crm%20cm%7D%7B%5Crm%20min%7D%3D%5Cdfrac1%7B20%5Cpi%7D%5Cdfrac%7B%5Crm%20cm%7D%7B%5Crm%20min%7D)
(The question asks how the height changes at the exact moment the height is 50 cm, but this info is a red herring because the rate of change is constant.)
Answer:
4800
Step-by-step explanation:
length = 20mm X 3 = 60mm
width = 20mm X 4 = 80mm
area = length X width = 60 X 80 = 4800 m![m^{2}](https://tex.z-dn.net/?f=m%5E%7B2%7D)
I hope it helps you!