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3 years ago

Help please can’t find the answer

Mathematics

1 answer:

PolarNik [594]3 years ago

4 0

Answer:

$\large\boxed{V=99\pi}$

Step-by-step explanation:

The formula of a volume of a cylinder:

$V=\pi r^2H$

r - radius

H - height

We have 2r = 6 → r = 3, H = 11.

Substitute:

$V=\pi(3^2)(11)=99\pi$

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If x = a sin α, cos β, y = b sin α.sin β and z = c cos α then (x²/a²) + (y²/b²) + (z²/c²) = ?

Oduvanchick [21]

$\large\underline{\sf{Solution-}}$

Given:

$\rm \longmapsto x = a \sin \alpha \cos \beta$

$\rm \longmapsto y = b \sin \alpha \sin \beta$

$\rm \longmapsto z = c\cos \alpha$

Therefore:

$\rm \longmapsto \dfrac{x}{a} = \sin \alpha \cos \beta$

$\rm \longmapsto \dfrac{y}{b} = \sin \alpha \sin \beta$

$\rm \longmapsto \dfrac{z}{c} = \cos \alpha$

Now:

$\rm = \dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} }$

$\rm = { \sin}^{2} \alpha \cos^{2} \beta + { \sin}^{2} \alpha \sin^{2} \beta + { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha (\cos^{2} \beta + \sin^{2} \beta )+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha \cdot1+ { \cos}^{2} \alpha$

$\rm = { \sin}^{2} \alpha + { \cos}^{2} \alpha$

$\rm = 1$

Therefore:

$\rm \longmapsto\dfrac{ {x}^{2} }{ {a}^{2}} + \dfrac{ {y}^{2} }{ {b}^{2} } + \dfrac{ {z}^{2} }{ {c}^{2} } = 1$

5 0

3 years ago

What is -3/2x |x-22| +33

bogdanovich [222]

Answer:

Find the domain by finding where the expression is defined. The range is the set of values that correspond with the domain.

Domain: (−∞,0)∪(0,∞),{x|x≠0}(-∞,0)∪(0,∞),{x|x≠0}

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3 years ago

Occupation

baherus [9]

C is answer no explanation needed

7 0

2 years ago

Daniel works at a nearby electronics store. He makes a commission of 15% on everything she cells. If he sells a laptop for $293,

Bezzdna [24]

Hi there!

So here's the important information we know:

He makes 15% comission on everything he sells

He sells a laptop for $293

To find out how much money Daniel makes in comission for the laptop, you need to calculate 15% of $293, which is the same thing as multiplying 15% by $293 :

15% × 293 = $

0.15 × 293 = $

43,95 = $

So your answer is: If Daniel sells a laptop for $293, he makes a comission of $43,95.

There you go! I really hope this helped, if there's anything just let me know! :)

3 0

3 years ago

Read 2 more answers

Select the correct function.

erma4kov [3.2K]

Check the picture below.

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3 years ago