Answer:
47 km
Explanation:
• Lucy's constant speed = 12 km/h.
,
• Time taken = 235 minutes
First, recall the formula below:
![Distance=Speed\times Time](https://tex.z-dn.net/?f=Distance%3DSpeed%5Ctimes%20Time)
Next, note that the speed is given in km/hr, so we convert the given time to hours:
![235\text{ minutes}=\frac{235}{60}\text{ hours}](https://tex.z-dn.net/?f=235%5Ctext%7B%20minutes%7D%3D%5Cfrac%7B235%7D%7B60%7D%5Ctext%7B%20hours%7D)
Therefore:
![Distance=12\times\frac{235}{60}=47\text{ km}](https://tex.z-dn.net/?f=Distance%3D12%5Ctimes%5Cfrac%7B235%7D%7B60%7D%3D47%5Ctext%7B%20km%7D)
She can travel 47 km in 235 minutes.
y = -8x + 5
To obtain the equation we require a point on it and it's slope.
the slope m = dy/dx at x = 1
dy/dx = -2-6x
x = 1 then dy/dx = -2 -6 = -8
equation of line in form y - b = m(x-a) with m = -8 and (a,b)=(1,-3)
y + 3 = -8(x-1)
y + 3 =-8x + 8
⇒ y = -8x +5 is the equation of the tangent
Answer:
23. ![\frac{4\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7B3%7D)
24. ![\frac{7\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Csqrt%7B3%7D%7D%7B3%7D)
25. ![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
26. ![\frac{10\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Csqrt%7B3%7D%20%7D%7B3%7D)
27. ![14](https://tex.z-dn.net/?f=14)
28. ![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Step-by-step explanation:
To solve these i used SOHCAHTOA
![sin=\frac{opposite}{adjacent}\\ cos=\frac{adjacent}{hypotenuse} \\tan=\frac{opposite}{adjacent}](https://tex.z-dn.net/?f=sin%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D%5C%5C%20cos%3D%5Cfrac%7Badjacent%7D%7Bhypotenuse%7D%20%5C%5Ctan%3D%5Cfrac%7Bopposite%7D%7Badjacent%7D)
23.
Find the missing side using Tangent
![tan(30)=\frac{x}{4}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B4%7D)
![4*tan(30)=x](https://tex.z-dn.net/?f=4%2Atan%2830%29%3Dx)
![\frac{4\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B4%5Csqrt%7B3%7D%20%7D%7B3%7D)
24.
Find the missing side using Tangent
![tan(30)=\frac{x}{7}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B7%7D)
![7*tan(30)=x](https://tex.z-dn.net/?f=7%2Atan%2830%29%3Dx)
![\frac{7\sqrt{3}}{3}](https://tex.z-dn.net/?f=%5Cfrac%7B7%5Csqrt%7B3%7D%7D%7B3%7D)
25.
Find the missing side using Tangent
![tan(30)=\frac{x}{18}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B18%7D)
![18*tan(30)=x](https://tex.z-dn.net/?f=18%2Atan%2830%29%3Dx)
![6\sqrt{3}](https://tex.z-dn.net/?f=6%5Csqrt%7B3%7D)
26.
Find the missing side using Tangent
![tan(30)=\frac{x}{10}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B10%7D)
![10*tan(30)=x](https://tex.z-dn.net/?f=10%2Atan%2830%29%3Dx)
![\frac{10\sqrt{3} }{3}](https://tex.z-dn.net/?f=%5Cfrac%7B10%5Csqrt%7B3%7D%20%7D%7B3%7D)
27.
Find the missing side using Tangent
![tan(30)=\frac{x}{14\sqrt{3} }](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B14%5Csqrt%7B3%7D%20%7D)
![(14\sqrt{3}) *tan(30)=x](https://tex.z-dn.net/?f=%2814%5Csqrt%7B3%7D%29%20%2Atan%2830%29%3Dx)
![14](https://tex.z-dn.net/?f=14)
28.
Find the missing side using Tangent
![tan(30)=\frac{x}{12}](https://tex.z-dn.net/?f=tan%2830%29%3D%5Cfrac%7Bx%7D%7B12%7D)
![12*tan(30)=x](https://tex.z-dn.net/?f=12%2Atan%2830%29%3Dx)
![4\sqrt{3}](https://tex.z-dn.net/?f=4%5Csqrt%7B3%7D)
Answer:
37.68
Step-by-step explanation:
to get radius divide diameter by 2.
formula for circumference is 2×r×pi.
since we already have the diameter we don't need to ÷ by 2 to get the radius because then we would have to multiply it back again.
pi=3.14.
12×3.14=37.68.
<em>Can I please have Brainliest?</em>