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Bingel [31]
2 years ago
11

How to simplify this equation?

Mathematics
2 answers:
makkiz [27]2 years ago
8 0
Here see the attachment
pychu [463]2 years ago
4 0

Answer:

10/9 +  \frac{1}{3} \sqrt{10} i

Step-by-step explanation:

(\frac{1}{3} \sqrt{5} - \frac{1}{2} \sqrt{2}i) ² =

(\frac{1}{3} \sqrt{5} )² + 2(\frac{1}{3} \sqrt{5} \frac{1}{2} \sqrt{2})i - (\frac{1}{3} \sqrt{5}i) ² =

5/9 + \frac{1}{3} \sqrt{5} \sqrt{2} i - (5/9. (-1)) =

10/9 +  \frac{1}{3} \sqrt{10} i  

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Determine the longest side in ΔDEF.
Helen [10]

Option D:

Segment DF

Solution:

Let us first define the relationship between the side and angle in triangle.

<u>Relationship between the side and angle in triangle:</u>

  • The shortest side is always opposite to the smallest interior angle.
  • The largest side is always opposite to the largest interior angle.

To find the largest side in ΔDEF:

Largest angle in ΔDEF is ∠­E = 73°

So, the side opposite to 73° is DF.

Therefore, Option D is the correct answer.

Hence the segment DF is the longest side in the ΔDEF.

6 0
2 years ago
Read 2 more answers
If a cake is cut into thirds and each third is cut into fourths, how many pieces of cake are there?
IrinaK [193]
The question is asking for a fourth of a third.
1/4 of 1/3
"of" = multiplying in math
1/4 x 1/3
= 1/12
That means it is cut in twelfths and it has 12 slices.

Answer= 12 slices

Hope this helps :)
8 0
2 years ago
I need the answer for this asp.
TEA [102]

Answer:

This is Isosceles Right

Step-by-step explanation:

An Isosceles is a triangle that has two sides the same length and one side longer or shorter

An Right is an triangle with a 90˚

Hope this helps!

3 0
2 years ago
Read 2 more answers
PLS HELP ASAP FIRST CORRECT ANSWER GETS BRAINLEIST​
solmaris [256]

Answer:

50 cm^2

Step-by-step explanation:

area of rectangle = base * height

5 * 7 = 35

area of triangle = base * height / 2

5 * 4 = 20/2 = 10

5 * 2 = 10/2 = 5

add them all up

35 + 5 + 10 = 50 cm^2

6 0
2 years ago
What is 2m + 3m² - 4m ? Please show you work. :-)
Alchen [17]
Combine like terms
2m and -4m are like terms while 3m^2 isnt. So, leave 3m^2 as it is and combine the other set. 2m-4m = (-2m). Therefore, your answer should be 3m^2 - 2m
6 0
3 years ago
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