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Softa [21]
3 years ago
7

3. What is the area of the parallelogram below?

Mathematics
1 answer:
leva [86]3 years ago
3 0

40.

Step-by-step explanation:

Base times height. This is a rhombus. 4 x 10 = 40. If you chop off the triangle to the right and place it on the left where 5 is, it'll be a rectangle. Formula for a rhombus is B x H, Base is 10, height is 4, and you get 40.

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Simplify 3 divided by 5-6i
Shtirlitz [24]

Answer:

\frac{15}{61}+\frac{18}{61}i

Step-by-step explanation:

\frac{3}{5-6i}

To simplify or to write in the form a+bi, you will need multiply the top and bottom by the bottom's conjugate like so:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}

Keep in mind when multiplying conjugates you only have to multiply first and last.

That is the product of (a+b) and (a-b) is (a+b)(a-b)=a^2-b^2.

(a+b) and (a-b) are conjugates

Let's multiply now:

\frac{3}{5-6i} \cdot \frac{5+6i}{5+6i}=\frac{3(5+6i)}{25-36i^2}

i^2=-1

\frac{15+18i}{25-36(-1)}

\frac{15+18i}{25+36}

\frac{15+18i}{61}

\frac{15}{61}+\frac{18}{61}i

5 0
3 years ago
Read 2 more answers
75% of what equals 225?<br> What did you get for 10%, 20% , 30% , 40%, 50% ,60% and 70%?
Lesechka [4]
75% of 225 = 300.

10% = 30
20% = 60
30% = 90
40% = 120
50% = 150
60% = 180
70% = 210
80% = 240
90% = 270
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If you need an explanation, just ask.
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8 0
3 years ago
A random number generator is set to generate integer random numbers between 1 and 10 inclusive following a uniform distribution.
julsineya [31]

Answer:

1/10 or 10%.

Step-by-step explanation:

If the generator includes the numbers 1 and 10 then there are a total number of 10 possible number outcomes that the number generator can generate. Out of all of these outcomes, only one of those would be generating a 7. Therefore, the probability of the generator generating a 7 would be 1/10 or 10%. This is assuming that it only generates 1 number.

4 0
3 years ago
Z = -400i - 44.5<br> What is the imaginary part of z?
hjlf

Answer:

-400i

General Formulas and Concepts:

<u>Algebra II</u>

  • Complex Form: a + bi

Step-by-step explanation:

<u>Step 1: Define</u>

z = -400i - 44.5

<u>Step 2: Identify</u>

Treat imaginary <em>i</em> as a variable. The imaginary part of z would be the entire term of <em>i</em>. Therefore, our answer is -400i

6 0
3 years ago
How do you graph (y=-1/2x-1) (y=-3x+4)
Mila [183]
Hello! have you tried desmos calculator? if not try math papa calculator.
8 0
3 years ago
Read 2 more answers
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