Answer:
The height of right circular cone is h = 15.416 cm
Step-by-step explanation:
The formula used to calculate lateral surface area of right circular cone is: ![s=\pi r\sqrt{r^2+h^2}](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D)
where r is radius and h is height.
We are given:
Lateral surface area s = 236.64 cm²
Radius r = 4.75 cm
We need to find height of right circular cone.
Putting values in the formula and finding height:
![s=\pi r\sqrt{r^2+h^2}\\236.64=3.14(4.75)\sqrt{(3.75)^2+h^2} \\236.64=14.915\sqrt{(3.75)^2+h^2} \\\frac{236.64}{14.915}=\sqrt{14.0625+h^2} \\15.866=\sqrt{14.0625+h^2} \\Switching\:sides\:\\\sqrt{14.0625+h^2} =15.866\\Taking\:square\:on\:both\:sides\\(\sqrt{14.0625+h^2})^2 =(15.866)^2\\14.0625+h^2=251.729\\h^2=251.729-14.0625\\h^2=237.6665\\Taking\:square\:root\:on\:both\:sides\\\sqrt{h^2}=\sqrt{237.6665} \\h=15.416](https://tex.z-dn.net/?f=s%3D%5Cpi%20r%5Csqrt%7Br%5E2%2Bh%5E2%7D%5C%5C236.64%3D3.14%284.75%29%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C236.64%3D14.915%5Csqrt%7B%283.75%29%5E2%2Bh%5E2%7D%20%5C%5C%5Cfrac%7B236.64%7D%7B14.915%7D%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%20%5C%5C15.866%3D%5Csqrt%7B14.0625%2Bh%5E2%7D%20%5C%5CSwitching%5C%3Asides%5C%3A%5C%5C%5Csqrt%7B14.0625%2Bh%5E2%7D%20%3D15.866%5C%5CTaking%5C%3Asquare%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%28%5Csqrt%7B14.0625%2Bh%5E2%7D%29%5E2%20%3D%2815.866%29%5E2%5C%5C14.0625%2Bh%5E2%3D251.729%5C%5Ch%5E2%3D251.729-14.0625%5C%5Ch%5E2%3D237.6665%5C%5CTaking%5C%3Asquare%5C%3Aroot%5C%3Aon%5C%3Aboth%5C%3Asides%5C%5C%5Csqrt%7Bh%5E2%7D%3D%5Csqrt%7B237.6665%7D%20%5C%5Ch%3D15.416)
So, the height of right circular cone is h = 15.416 cm
Answer:
I think it might be B a mean is bigger than the median
Answer: A.
The inverse sine function is written as sin−1(x) or arcsin(x). Inverse functions swap x- and y-values, so the range of inverse sine is − π/2 to π/2 and the domain is −1 to 1. When evaluating problems, use identities or start from the inside function.
(REFER TO CHART BELOW)
1 week is 7 days.
3 weeks = 21 days. Answer D. is correct.
A hour is 3600 seconds
24 hours ( a day ) is 86400 seconds
21 days is 1814400 seconds. * This is not an option *
Since 24 hours are in a day 24 hours x 21 days is 504 hours
Answer A. is correct
504 hours x 60 minutes per hour is 30240
Answer B. is correct. These are all the correct answers, A,B, and D.
Answer:
36
Step-by-step explanation:
Hullo :D
If you're having trouble understanding, you might not understand the Order of Operations.
P - Parenthesis. Solve what's inside the Parenthesis first
E - Exponents. Solve for Exponents second.
M - Multiply. Multiply numbers third. (left - to - right with division, too)
D - Divide. Divide fourth. It is interchangeable with multiplication, as well.
A - Addition. Add fifth.
S - Subtract sixth. It is interchangeable with Addition, as well.
With that in mind, all we need to do is identify these types in the equation:
(6+3)4
We see parenthesis. We will solve them first according to the Order of Operations:
6 + 3 = 9.
(9)4
We see multiplication. We solve them next according to the Order of Operations:
9 × 4 = 36.
Thus, the final answer is
.
Hope this helps!