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2 years ago

5. A nature center has a fish tank in the shape of a rectangular prism. The tank is 2

Mathematics

1 answer:

Naily [24]2 years ago

7 0

Step-by-step explanation:

I am not sure about the answer of (b). Hope it helps :)

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Find an equation of the sphere with center (2, −10, 3) and radius 5. $$25=(x−2)2+(y−(−10))2+(z−3)2 use an equation to describe i

lana66690 [7]

In the $x,y$ plane, we have $z=0$ everywhere. So in the equation of the sphere, we have

$25=(x-2)^2+(y+10)^2+(-3)^2\implies(x-2)^2+(y+10)^2=16=4^2$

which is a circle centered at (2, -10, 0) of radius 4.

In the $x,z$ plane, we have $y=0$ , which gives

$25=(x-2)^2+10^2+(z-3)^2\implies(x-2)^2+(z-3)^2=-75$

But any squared real quantity is positive, so there is no intersection between the sphere and this plane.

In the $y,z$ plane, $x=0$ , so

$25=(-2)^2+(y+10)^2+(z-3)^2\implies(y+10)^2+(z-3)^2=21=(\sqrt{21})^2$

which is a circle centered at (0, -10, 3) of radius $\sqrt{21}$ .

3 0

3 years ago

Solve for n 19 + 10n = 7n - 20

kakasveta [241]

Answer:

n = -13

Step-by-step explanation:

19 + 10n = 7n - 20

Subtract 7n from each side

19 + 10n-7n = 7n-7n - 20

19+3n = -20

Subtract 19 from each side

19+3n -19 = -20-19

3n = -39

Divide each side by 3

3n/3 = -39/3

n = -13

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3 years ago

Tell me a joke plssssssssssss

Hoochie [10]

Answer:

Knock knock

Step-by-step explanation:

I wish I had a joke to tell

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2 years ago

What is 42% in simplest form?plz show me how to do it

frozen [14]

Hey there!

42%= 42/100

42/100=2/2×21/50

So 21/50 is the simplest form of 42%

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3 years ago

Find the value of x...

Allushta [10]

Answer:

Step-by-step explanation:

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3 years ago