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3 years ago

Multiply the complex numbers: (3 + 2i)(3 - 2i)

Mathematics

2 answers:

den301095 [7]3 years ago

6 0

Answer:13

Step-by-step explanation:9-6i+6i+4

stealth61 [152]3 years ago

3 0

Answer: 13

Step-by-step explanation:

Multiply 3*3 get 9

Multiply 2*2 get 4

Add 9+4 and get 13

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Answer these two questions Please

alekssr [168]

Answer:

a) likely

b) unlikely

c) equally likely to occur or not occur

d) certain

e) unlikely

In order of least to most likely to occur

A C B D

P(A) 0

P(B) 4/9

P(C) 1/9

P(D) 5/9

I hope this was helpful :-)

7 0

3 years ago

All the edges of a regular square pyramid have length 8. find the Volume of the pyramid, Lateral area of the pyramid and the Tot

RUDIKE [14]

Answer:

V = 120.6796

LA = 110.8513

SA = 174.8513

Step-by-step explanation:

Let me know if you need more of an explanation for any of these

First we need the height, one way to find that out is to use the diagonal of the and one of the diagonal edges of the pyramid. Specifically we will need half of the diagonal of the square. We will call the diagonal of the square d.

$8^2+8^2=d^2\\d=\sqrt{64+64} \\d=\sqrt{128}$

Gonna leave it like that for ease of writing. So then half of the diagonal is $\frac{\sqrt{128}}{2}$

The height, h, will be $(\frac{d}{2})^2+h^2 = 8^2$ . Plugging everything in gets us $h=\sqrt{32}$

last, we need to find slant height, which we will call s.

$(\frac{8}{2})^2+h^2 = s^2\\s=\sqrt{48}$

s is also the height of the triangles for purposes of finding area. Now for the volume and areas.

Volume is area of the base times height divided by 3, so $V=8^2\frac{\sqrt{32} }{3} = \frac{64\sqrt{48} }{3} = 120.6796$

Lateral area is the sum of the four areas of the triangles, and each of those are $\frac{8*h}{2}$ so the whole lateral area is 4 times that. So we get $4\frac{8\sqrt{32} }{2} =110.8513$

Total surface area is the lateral surface area + the area of the base, so 110.8513 + 64 = 174.8513

6 0

3 years ago

Mr Patel is planning to drive 325 miles. He will stop one hour for lunch and take a 15 min rest break.

mr_godi [17]

Option D

The trip lasts for $6\frac{1}{4}\ hours$

Solution:

Mr Patel is planning to drive 325 miles

Average speed is 65 mph

He will stop one hour for lunch and take a 15 min rest break

Let us first find the time taken

$Time = \frac{distance}{speed}$

$Time = \frac{325}{65}\\\\Time = 5$

Thus he covers 325 miles in 5 hours

Also, given that, he will stop one hour for lunch and take a 15 min rest break

Therefore, total time taken for trip is:

Total time = 5 hours + 1 hour + 15 minutes

Total time = 6 hours 15 minutes

We know that,

1 hour = 60 minutes

Therefore,

$6\ hours\ 15\ minutes\ = 6 + \frac{15}{60}\ hours = 6 + \frac{1}{4} = 6\frac{1}{4}\ hours$

Thus the trip lasts for $6\frac{1}{4}\ hours$

8 0

3 years ago

What is the simplified expression for 2(x - 5)?

charle [14.2K]

If you would like to know the simplified expression for 2 * (x - 5), you can find this using the following steps:

2 * (x - 5) = 2 * x - 2 * 5 = 2 * x - 10

The correct result would be 2 * x - 10.

8 0

3 years ago

Read 2 more answers

Can someone plz help me on this thank you and please stop giving me links

Brilliant_brown [7]

Answer: 900π

Step-by-step explanation: To calculate the area of a circle, we do πr^2, where r is the radius. The radius is 30, so the answer is 900π.

Hope this helps!

4 0

3 years ago