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3 years ago

The product of 4 and a number split into 6 parts

Mathematics

1 answer:

Anni [7]3 years ago

6 0

Answer:

4x ÷ 6

Step-by-step explanation:

4 times a number split into 6 parts

4x ÷ 6

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Need some math help!!

BlackZzzverrR [31]

It's the second one.

7 0

3 years ago

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

15 times as much as 1 fifth of 12

Ann [662]

1) Work out what 1/5 of 12 is
To do this, we divide 12 by 5
12/5 = 2.4

2) Multiply 2.4 by 15
2.4 x 15 = 36

<em>If you don't like decimals, you can also do it this way...
</em>
This can be rewritten as 15 x 1/5 x 12
Multiplications alone can be performed in any order

1) Work out what 1/5 of 15 is
1/5 of 15
15/5 = 3

2) 3 multiplied by 12
3 x 12 = 36

8 0

4 years ago

Read 2 more answers

A jewelry box has 10 items. Of those, half are necklaces. Two-fifths of the others are bracelets. The rest are rings. How many r

Zielflug [23.3K]

Answer:

3 rings

Step-by-step explanation:

10 / 2 = 5 necklaces

(5/5) x 2 = 2 bracelets

10 - 5 - 2 = 3<u> rings</u>

3 0

3 years ago

Read 2 more answers

Two sides of a triangle have lengths 10 and 30. The third side has a length that is

GrogVix [38]

Answer:

2h4o

Step-by-step explanation:

3 0

2 years ago

The product of 4 and a number split into 6 parts​

The product of 4 and a number split into 6 parts