It will be 2/5 ft long and 7/25 ft wide. 200•1/500=2/5
140•1/500=7/25
The answer is north, the Polaris is located north from the celestial equator.
If you go as far north as the North Pole, you'll see Polaris directly overhead. As you travel south, Polaris drops closer to the northern horizon. If you get as far as the equator, Polaris sinks to the horizon. South of the equator, Polaris drops out of the sky.
Answer:
![f(g(x))= sign(x(1-x^{2})) = sign(x-x^{3})](https://tex.z-dn.net/?f=f%28g%28x%29%29%3D%20sign%28x%281-x%5E%7B2%7D%29%29%20%3D%20sign%28x-x%5E%7B3%7D%29)
Step-by-step explanation:
Standard form is x + y = number
The equation has a slope of 3 and a y intercept of -4 so the equation should be
y = 3x - 4
To get this in standard form you have to move the 3x to the other side.
y - 3x = -4
-3x + y = -4
The coefficient before x cannot be negative in standard form so you have to multiply the whole equation by -1.
3x - y = 4
The radius of trampoline is 6.5 feet
Step-by-step explanation:
Area of circular trampoline = 132.2 ft²
Let,
r be the radius of trampoline.
We know that area of circle = ![\pi r^2](https://tex.z-dn.net/?f=%5Cpi%20r%5E2)
Therefore,
![\pi r^2 = 132.2\\](https://tex.z-dn.net/?f=%5Cpi%20r%5E2%20%3D%20132.2%5C%5C)
Putting value of ![\pi = 3.14](https://tex.z-dn.net/?f=%5Cpi%20%3D%203.14)
![3.14r^2=132.2](https://tex.z-dn.net/?f=3.14r%5E2%3D132.2)
Dividing both sides by 3.14
![\frac{3.14r^2}{3.14}=\frac{132.2}{3.14}\\r^2=42.10](https://tex.z-dn.net/?f=%5Cfrac%7B3.14r%5E2%7D%7B3.14%7D%3D%5Cfrac%7B132.2%7D%7B3.14%7D%5C%5Cr%5E2%3D42.10)
Taking square root on both sides
![\sqrt{r^2}= \sqrt{42.10} \\r=6.48 \ ft](https://tex.z-dn.net/?f=%5Csqrt%7Br%5E2%7D%3D%20%5Csqrt%7B42.10%7D%20%5C%5Cr%3D6.48%20%5C%20ft)
Rounding to nearest tenth,
Radius of trampoline = 6.5 feet
The radius of trampoline is 6.5 feet
Keywords: Area, circle, radius
Learn more about circles at:
#LearnwithBrainly