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RUDIKE [14]
2 years ago
8

Find parametric equations for the sphere centered at the origin and with radius 3. Use the parameters s and t in your answer. x(

s, t) = y(s, t) = , and z(s, t) = , where |
Mathematics
1 answer:
Harlamova29_29 [7]2 years ago
4 0

Answer:

Step-by-step explanation:

In general (x, y, z) = (p ·cos s ·sin t, p· sin s· sin t, p · cos t) where p is radius

x(s, t)= 3 ·cos s ·sin t

y(s, t)= 3· sin s· sin t

z(s, t) = 3· cos t

Where, radius is 3, s ∈ [0,2π), and t ∈ [0, π]

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An investment account earns 4% per year compounded annually.
melisa1 [442]
Amount after 3 years = 4000( 1 + 0.04)^3  =   $4,499.46  answer
8 0
3 years ago
How to find the volume of the cone
gavmur [86]

Answer:

The closest measurement to the volume of hat is 84.82 in.³.

Step-by-step explanation:

Given:

The dimensions of hat are height(h) 9 inches and diameter(d) 6 inches.

Now, to find the volume of cone:

Putting the formula \frac{1}{3}\pi r^{2}h.

Radius(r) is not given, finding the radius:

Radius(r)=half of the diameter(d)

r=\frac{d}{2}

r=\frac{6}{2}

r=3.

Then, \frac{1}{3}\pi r^{2}h

=\frac{1}{3}\times\pi \times3^{2}\times9

=\frac{1}{3}\times3.14\times9\times9 (\pi =3.14)

=\frac{1}{3} \times254.34

=\frac{254.34}{3}

=84.78 in.³

So, the volume is 84.78 in.³ .

Therefore, the closest measurement to the volume of hat is 84.82 in.³.

5 0
2 years ago
Solve for x.<br><br> −5(x−4)=−30<br><br> Enter your answer in the box.
saveliy_v [14]
First divide both sides by - 5,

x - 4 = 6

Move the constant to the right side of the equation and change its sign (-4 => +4)

x = 6 + 4

Add the numbers,

x = 10

~~
I hope that helps you out!!

Any more questions, please feel free to ask me and I will gladly help you out!!

~Zoey
6 0
3 years ago
What is 0.15%, 3/19, 0.015 ordered from least to greatest
Norma-Jean [14]

Answer:

least

0.15%

0.015

3/19

greatest

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
12x -20=n (3x-5)<br><br> I need help I don’t get it please help me.
Salsk061 [2.6K]

Answer:

The value of n = 4 and  

The value of x = \frac{5}{3}

Step-by-step explanation:

Method I:

As given, 12x -20=n (3x-5)      .........(1)

Firstly , take 12x - 20

As 12x - 20 can be written as 4(3x - 5)

∴ equation (1) becomes

4(3x - 5) = n (3x-5)

Divide the equation by (3x-5) , we get

4 = n

Method II:

As given, 12x -20=n (3x-5)

⇒12x - 20 = 3nx - 5n

⇒12x - 3nx = 20 - 5n

⇒3x(4 - n) = 5( 4 - n)

Divide the equation by (4-n) , we get

3x = 5

⇒ x = \frac{5}{3}

∴ we get

n = 4 and  x = \frac{5}{3}

Now, check that value of n and x satisfies the equation or not

12(\frac{5}{3}) - 20 = 4( 3(\frac{5}{3}) - 5)

⇒4(5) - 20 = 4(5 - 5)

⇒20 - 20 = 4(0)

⇒ 0 = 0

Hence , we get

The values of x and n satisfies the equation

so, we get

n = 4 and  x = \frac{5}{3}

5 0
2 years ago
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