The slant height of a cone with lateral surface are of 19.2π inches squared and radius of 2.4 inches is 8 inches.
<h3>Lateral surface area of a cone</h3>
The formula for the lateral surface area of a cone is described as follows:
Lateral area = πrl
where
- r = base radius
- l = slant height
Therefore,
Lateral area = 19.2π inches²
r = 2.4 inches
Lateral area = π × 2.4 × l
19.2π = 2.4πl
divide both sides by 2.4π
l = 19.2π / 2.4π
l = 8 inches
learn more on cone here: brainly.com/question/27170515
Step-by-step explanation:
![\sin( \alpha ) = \frac{ \sqrt{5} }{3} \\ \alpha = 48.19 \: degrees \\ \cos( \alpha ) = \frac{2}{3}](https://tex.z-dn.net/?f=%20%5Csin%28%20%5Calpha%20%29%20%20%3D%20%20%5Cfrac%7B%20%5Csqrt%7B5%7D%20%7D%7B3%7D%20%20%5C%5C%20%20%5Calpha%20%20%3D%2048.19%20%5C%3A%20degrees%20%20%5C%5C%20%20%20%5Ccos%28%20%5Calpha%20%29%20%20%3D%20%20%5Cfrac%7B2%7D%7B3%7D%20)
An equation that goes through (-2, 1) and has a slope of 4 is y = 4x + 9.
You can find this by looking for the y-intercept (b) by using the slope (m), the point and slope intercept form. The work is below for you.
y = mx + b
1 = 4(-2) + b
1 = -8 + b
9 = b
Now we can use that and the slope to create the equation y = 4x + 9
14 (inches) times 4 = 56 inches which would be 4.6 feet tall
Answer:
it might be -40.0
Step-by-step explanation:
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