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Alexeev081 [22]
3 years ago
14

Simply the expression below (10-3i)(2-5i)

Mathematics
2 answers:
scoundrel [369]3 years ago
8 0

Answer:

7i and 3i

hope this helps <33

rewona [7]3 years ago
4 0

Answer:

Step-by-step explanation:

Use foil method

(10 - 3i) (2 -5i) = 10*2 + 10*(-5i)  +  (-3i)*2 + (-3i)*(-5i)

   = 20 - 50i -6i + 15i²

   = 20 - 50i - 6i + 15*(-1)             {i² = -1}

   = 20  - 50i - 6i - 15

   = 20 - 15 - 50i - 6i

   = 5 - 56i

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35 of of 30 in simplest form
Mariana [72]

Answer:7/6

Step-by-step explanation:

divide both 35 & 30 by 5 since it’s their greatest common factor.

that would get u 7/6

8 0
2 years ago
the roof of the school has a rise of 3.6 meters and a run of 12 meters. what is the slope/pitch of the roof?
goldenfox [79]

Answer:

The slope will be:

slope = 0.3

Step-by-step explanation:

As we know that the slope of a certain line is basically the measure of its steepness.

Mathematically, the slope can be calculated as 'rise over run'.

In other words, the 'rise' is 'change in y', and 'run' is 'change in x'.

Given

The roof of the school has a rise = 3.6 meters = rise = change in y

The  roof of the school has a run = 12 meters = run = change in x

So the slope will be:

slope = rise ÷ run

         = 3.6 ÷ 12

         = 0.3         ∵( 3.6 ÷ 12 = 0.3)

Therefore, the slope will be:

slope = 0.3

5 0
2 years ago
A proportional relationship can be shown in two different ways:​
Vladimir [108]
What are u asking ? I’m don’t get it
6 0
3 years ago
Geometry, help please :)
hram777 [196]

Angles B and C are both supplimentary angles with the numbers they are closest to. The sum of two supplimentary angles is always 180 degree. Therefore:

B + 45 = 180

B = 135

C + 105 = 180

C = 75

We now know two out of three of the angles for the inside of the triangle. The sum of the interior angles of a triangle is always 180. Therefore, we can solve for A.

A + 75 + 45 = 180

A = 60

Therefore A = 60, B = 135 and C = 75.

8 0
3 years ago
Read 2 more answers
You want to obtain a sample to estimate a population proportion. Based on previous evidence, you believe the population proporti
kenny6666 [7]

Answer:

A sample size of 474 is required.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of \pi, and a confidence level of 1-\alpha, we have the following confidence interval of proportions.

\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}

In which

z is the z-score that has a p-value of 1 - \frac{\alpha}{2}.

The margin of error is of:

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

Based on previous evidence, you believe the population proportion is approximately 73%.

This means that \pi = 0.73

95% confidence level

So \alpha = 0.05, z is the value of Z that has a p-value of 1 - \frac{0.05}{2} = 0.975, so Z = 1.96.

How large of a sample size is required?

A sample size of n is required, and n is found when M = 0.04. So

M = z\sqrt{\frac{\pi(1-\pi)}{n}}

0.04 = 1.96\sqrt{\frac{0.73*0.27}{n}}

0.04\sqrt{n} = 1.96\sqrt{0.73*0.27}

\sqrt{n} = \frac{1.96\sqrt{0.73*0.27}}{0.04}

(\sqrt{n})^2 = (\frac{1.96\sqrt{0.73*0.27}}{0.04})^2

n = 473.24

Rounding up:

A sample size of 474 is required.

3 0
3 years ago
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