Answer:
its a simple for me
Step-by-step explanation:
2+144 i
Answer:
B. 40, 51.5, 88.5
Step-by-step explanation:
(5x - 4) + (2x + 3) + (3x- 4) = 180
10x - 5 = 180
10x = 185
x= 18.5
Substitute
5(18.5) - 4 = 88.5
2(18.5) + 3 = 40
3(18.5) - 4 = 51.5
Answer:
Part A = 90
Part B = 145
Step-by-step explanation:
For part A, we know that a triangle has a sum of 180 degrees. So we just add the angles we already know and then subtract them from 180. For part B, we know that angle ACB and angle ACD are supplementary angles, meaning they add up to 180 degrees. So just take 180 and subtract 35 to find the measure of angle ACD.
Answer:
The volume of the cone is approximately 453.0 cm³
Step-by-step explanation:
The volume of a cone is one third that of a cylinder with the same height and radius. That gives us 1/3 πr²h, where r is radius and h is height.
However, we are not given the height of the cone, but the side length. We can work out the height using the Pythagorean theorem, as we have a right triangle with the height, base radius, and length. You may recall that the Pythagorean theorem states that the square of the hypotenuse of a right triangle is equal to the sum of the squares of it's other two sides:
![a^2 = b^2 + c^2](https://tex.z-dn.net/?f=a%5E2%20%3D%20b%5E2%20%2B%20c%5E2)
So we can find the height of the cone with that:
![10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9](https://tex.z-dn.net/?f=10.8%5E2%20%3D%207.4%5E2%20%2B%20h%5E2%5C%5Ch%5E2%20%3D%2010.8%5E2%20-%207.4%5E2%5C%5Ch%5E2%20%3D%20116.64%20-%2054.76%5C%5Ch%5E2%20%3D%2061.88%5C%5Ch%20%3D%20%5Csqrt%7B61.88%7D%5C%5Ch%20%5Capprox%20%207.9)
Now that we have the cone's height, we can solve for its volume:
![v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20r%5E2%20h%5C%5Cv%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%207.4%5E2%20%20%5Ctimes%207.9%5C%5Cv%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%2054.76%20%5Ctimes%207.9%5C%5Cv%20%3D%20%5Cfrac%7B1%7D%7B3%7D%20%5Cpi%20%5Ctimes%20432.6%5C%5Cv%20%3D%20%5Cpi%20%5Ctimes%20144.2%5C%5Cv%20%5Capprox%20453.0%20cm%5E3)