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3 years ago

Simplify the expression: (3 − 7i)(2 − 5i).

Mathematics

1 answer:

Mandarinka [93]3 years ago

3 0

Answer:

Step-by-step explanation:

3x2-3x5i-7ix2x7ix(-5i)

6-15i-14i+35i^2

6-15i-14i+35x(-1)

6-15i-14i-35

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A cylinder has a diameter of 6 feet. the volume of the cylinder is 36/5π cubic feet.

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Answer:

Height of cylinder is $\frac{4}{5}\ ft$ .

Step-by-step explanation:

Diameter of cylinder, D = 6 feet

Relation between Radius, R and diameter, D is given by:

$R = \dfrac{D}{2}$

So, radius, R = $\frac{6}{2} \Rightarrow 3$ feet

Let height of cylinder be $h$ feet.

Formula for volume of cylinder is given by:

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Using formula for volume, $V = \pi R^{2} H$

$\dfrac{36\pi}{5} = \pi \times 3^{2} \times h\\\Rightarrow \dfrac{36\pi}{5} = \pi \times 9 \times h\\\Rightarrow h = \dfrac{4}{5} ft$

Hence, Height of cylinder is $\frac{4}{5}\ ft$ .

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