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harkovskaia [24]
2 years ago
15

Find the volume of this cone. round to the nearest tenth. 15 m 5 m

Mathematics
1 answer:
erma4kov [3.2K]2 years ago
4 0

Answer:

volume =  \frac{1}{3} \pi {r}^{2} h \\  =  \frac{1}{3}  \times 3.14 \times  {5}^{2}  \times 15 \\  = 392.5 \:  {m}^{3}

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14.83
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7 0
3 years ago
Which interval is the solution set to 0.35x - 4.8 < 5.2 -0.9x?
8_murik_8 [283]

Answer:  (-\infty, 8)

Step-by-step explanation:

Given the following inequality:

0.35x - 4.8 < 5.2 -0.9x

You need to solve for "x" in order to find the solution.

The steps are:

1. Add 0.9x to both sides of the inequality:

0.35x - 4.8+0.9x < 5.2 -0.9x+0.9x\\\\1.25x-4.8

2. Add 4.8 to both sides:

1.25x-4.8+4.8

3. Divide both sides by 1.25:

\frac{1.25x}{1.25}

Notice that "x" is  less than 8. This indicates that 8 is not included in the solution and you must use parentheses.

The solution in Interval notation is:

(-\infty, 8)

8 0
3 years ago
Read 2 more answers
Simplify the following expression below:
IrinaK [193]
So, 4/3 - 2i

4/3 - 2i = 12/13 + i8/13

multiply by the conjugate: 
3 + 2i/3 + 2i
= 4(3 + 2i)/(3 - 2i) (3 + 2i)
(3 - 2i) (3 + 2i) = 13

(3 - 2i) (3 + 2i)

apply complex arithmetic rule: (a + bi) (a - bi) = a^2 + b^2
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= 3^2 + (- 2)^2

refine: = 13
= 4(3 + 2i)/13

distribute parentheses:
a(b + c) = ab + ac
a = 4, b = 3, c = 2i
= 4(3) + 4(2i)

Simplify:
4(3) + 4(2i)
12    +    8i


4(3) + 4(2i)
Multiply the numbers: 4(3) = 12
= 12 + 2(4i)

Multiply the numbers: 4(2) = 8
= 12 + 8i


   12 + 8i
= 12 + 8i/13

Group the real par, and the imaginary part of the complex numbers:


Your answer is: 12/13 + 8i/13





Hope that helps!!!
7 0
3 years ago
Why do you think city streets often are designed to be parallel or perpendicular?
White raven [17]

Answer:

Step-by-step explanation: Most urban designers incorporate a diagonal street cutting through the regular grid to create interesting spaces, squares, plazas, to provide relief and add character as can be seen at Manhattan Times Square created by Broadway cutting the grid at an angle.

7 0
3 years ago
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Calcula el volumen en metros cúbicos de una piscina que tiene 8 m de largo 2 m de ancho y 1.5 m de profundidad
Stella [2.4K]

Answer:

V = 24 m³

Step-by-step explanation:

The given question says that, 'Calculate the volume in cubic meters of a pool that is 8 m long, 2 m wide and 1.5 m deep'.

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Put all the values,

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So, the volume of the pool is equal to 24 m³.

7 0
3 years ago
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