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melisa1 [442]
3 years ago
5

What does -2(-3)(-4) equal??

Mathematics
1 answer:
dolphi86 [110]3 years ago
8 0
The answer is-24 so fun lol
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Use spherical coordinates. Find the volume of the solid that lies within the sphere x^2 + y^2 + z^2 = 81, above the xy-plane, an
Natasha_Volkova [10]

Answer:

The volume of the solid is 243\sqrt{2} \ \pi

Step-by-step explanation:

From the information given:

BY applying sphere coordinates:

0 ≤ x² + y² + z² ≤ 81

0  ≤ ρ²   ≤   81

0  ≤ ρ   ≤  9

The intersection that takes place in the sphere and the cone is:

x^2 +y^2 ( \sqrt{x^2 +y^2 })^2  = 81

2(x^2 + y^2) =81

x^2 +y^2 = \dfrac{81}{2}

Thus; the region bounded is: 0 ≤ θ ≤ 2π

This implies that:

z = \sqrt{x^2+y^2}

ρcosФ = ρsinФ

tanФ = 1

Ф = π/4

Similarly; in the X-Y plane;

z = 0

ρcosФ = 0

cosФ = 0

Ф = π/2

So here; \dfrac{\pi}{4} \leq \phi \le \dfrac{\pi}{2}

Thus, volume: V  = \iiint_E \ d V = \int \limits^{\pi/2}_{\pi/4}  \int \limits ^{2\pi}_{0} \int \limits^9_0 \rho   ^2 \ sin \phi \ d\rho \   d \theta \  d \phi

V  = \int \limits^{\pi/2}_{\pi/4} \ sin \phi  \ d \phi  \int \limits ^{2\pi}_{0} d \theta \int \limits^9_0 \rho   ^2 d\rho

V = \bigg [-cos \phi  \bigg]^{\pi/2}_{\pi/4}  \bigg [\theta  \bigg]^{2 \pi}_{0} \bigg [\dfrac{\rho^3}{3}  \bigg ]^{9}_{0}

V = [ -0+ \dfrac{1}{\sqrt{2}}][2 \pi -0] [\dfrac{9^3}{3}- 0 ]

V = 243\sqrt{2} \ \pi

4 0
3 years ago
Find the total surface area. Round to the nearest hundredth if necessary.
trasher [3.6K]

Answer:

166

Step-by-step explanation:

multiply the 6 by 2 and then multiply 13 by 10

to get 166

7 0
3 years ago
-9f +19-1 + f) 12-=8f <br>is this the answer? ​
jeka94

Hi!

-9f + 19 - 1 + f is actually -8f + 18.

To do this we add like terms, -9f and f; and 19 and -1

-9f + f is -8f

19 - 1 is 18

Therefore your answer is -8f + 18

7 0
3 years ago
The booster club will sell raffle tickets to raise money for new band uniforms. The total cost of the uniforms is $16,272. Each
Zina [86]

Answer: 1,356 tickets

12x=16,272

divide by 12 on both sides

12x÷12=16,272÷12

x=16,272÷12

x=1,356

I hope this is good enough:

7 0
3 years ago
Your company spends 15%of their budget on rent each year. Their operating budget was 45,000 how much was spent
amm1812
You take 45,000 divided by .15= 30,000

30,000 it your answer

Hope this helps
5 0
3 years ago
Read 2 more answers
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