14+4i+25-10i+26+8i combining complex numbers

Mathematics

1 answer:

AleksandrR [38]3 years ago

8 0

65+2i is the answer- I am almost 100 percent sure

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What is the volume of this cone?

olchik [2.2K]

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:

$a^2 = b^2 + c^2$

So we can find the height of the cone with that:

$10.8^2 = 7.4^2 + h^2\\h^2 = 10.8^2 - 7.4^2\\h^2 = 116.64 - 54.76\\h^2 = 61.88\\h = \sqrt{61.88}\\h \approx 7.9$

Now that we have the cone's height, we can solve for its volume:

$v = \frac{1}{3} \pi r^2 h\\v = \frac{1}{3} \pi \times 7.4^2 \times 7.9\\v = \frac{1}{3} \pi \times 54.76 \times 7.9\\v = \frac{1}{3} \pi \times 432.6\\v = \pi \times 144.2\\v \approx 453.0 cm^3$

5 0

3 years ago

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What is 9x+3=21<br> What is the value of x=

valentinak56 [21]

Answer:

Step-by-step explanation:

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3 years ago

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In a division of a company, 15% of the women and 25% of the men are working on a project. 60% of the division are women. what pe

lord [1]

19%
In the division, 60% are women and 100%-60% = 40% are men. And for this project, we have 15% of the women, or 15%*60% = 9% of the personal and 25% of the men or 25% * 40% = 10% of the personal working on the project. Therefore 9% + 10% = 19% of the division is working on the project.

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3 years ago

¿cual es el perimetro total de un paralelogramo obicuo cuya base mide 2∛54x² cm , y cuyo lado oblicuo mide 3∛54x²?

Step2247 [10]

Answer:

$p=10\sqrt[3]{54}x^2$