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3 years ago

Find the nonreal complex solutions of the equation.

Mathematics

1 answer:

atroni [7]3 years ago

5 0

The no real complex solutions or the equation is [4+81,4-8i)

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Devaughn is 15 years younger than sydney. the sun of their ages is 63. what is sydney’s age?

klasskru [66]

Answer:

Step-by-step explanation:

d = s - 15

d + s = 63

Replace d with s - 15

s - 15 + s = 63

2s -15 = 63

2s = 78

s = 39

5 0

3 years ago

12 spheres of the same size are made from melting a solid cylinder of 1 cm diameter and 2 cm height. Find the diameter of each s

mars1129 [50]

The answer is: The diameter is 4 centimeters.

The explanation is shown below:

1. The volume of the cylinder is:

$Vc=r^{2}h \pi$

Where $r$ is the radius ( $r=\frac{16cm}{2}=8cm$ ) and $h$ is the height ( $h=2cm$ ).

Then:

$Vc=(8cm)^{2}}(2cm)\pi\\Vc=128\pi$

2. The total volume of the 12 spheres is:

$Vs=12(\frac{4}{3}r^{3}\pi)\\Vs=16r^{3}\pi$

3. The volume of the cylinder and the total volume of all the 12 spheres, are equal, therefore:

$Vc=Vs\\128\pi=16r^{3}\pi$

4. Now, you must solve for the radius:

$r=\sqrt[3]{\frac{128\pi}{16\pi}}\\r=2cm$

5. The diameter is:

$d=2r\\d=2(2cm)\\d=4cm$

5 0

3 years ago

Find the surface area of the<br>prism formed by the net.

pogonyaev

Answer: 1372 Square meters

Step-by-step explanation:

7*14+28*14+7*14+7*28+14*28+7*28=1372

4 0

3 years ago

Sin law or cos law?!!!!!!!!!!!!!

MA_775_DIABLO [31]

Answer:

Law of Sines

Step-by-step explanation:

Law of Sines: $\frac{A}{sina} =\frac{B}{sinb} =\frac{C}{sinc}$

Step 1: Solve for m∠B

$\frac{25}{sin36} =\frac{27}{sinx}$

25sinx = 27sin36°

sinx = 27sin36°/25

$x = sin^{-1}(\frac{27sin36}{25} )$

m∠B ≈ 39.4°

Step 3: Find m∠C

180 - (36 + 39.4)

180 - 75.4

m∠C = 104.6°

5 0

3 years ago

Question is on the picture

Sedaia [141]

-2 then -5/2 and then 1.7

8 0

3 years ago

Read 2 more answers