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Mademuasel [1]
2 years ago
9

Show that f(2-3i) is a real number

Mathematics
1 answer:
densk [106]2 years ago
7 0

Answer:

2 - 3i

is 2 - the square root of -9

2 -√-9

2 + √9

2 + 3 = 5

<em><u>Thank you (I dont know if these answers are  100% correct but I tried my best!)</u></em>

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3 years ago
John mows 6 lawns a week and makes 90 dollars. If he made 270 dollars how many lawns did he mow??? Please help im really struggl
tangare [24]

Answer:

Step-by-step explanation:

90 × 3=270 dollars

6×3= 18 lawns

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3 years ago
Use two unit multipliers to convert 1250 square inches to square feet
abruzzese [7]
Divde it by 12^2 or 144
1250/144=8.605555555555ft^2
5 0
3 years ago
Read 2 more answers
Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB and sin ∠X = 5 over 5 and 59 hundredths.
Vikentia [17]

The relationship between Traingle XYZ and ACB is that they are similar triangles. tanX = tanA = 5 over 2 and 5 tenths, where

  • AC = 2 x  XY
  • CB = 2 x  YZ

<h3>What is the dilation about?</h3>

Triangle XYZ was dilated by a scale factor of 2 to create triangle ACB, hence XYZ and ACB are similar triangles.

Angles Y and C are said to measure 90 degrees, and angles A and X are known to be congruent. Thus:

tanX = tanA = 5 over 2 and 5 tenths

AC = 2 x  XY

CB = 2 x  YZ

Another way to solve for it is by:

Note that Dilation of the triangle ΔXYZ was by a factor of "2".

Since m∠Y = m∠C = 90º   - given

ΔXYZ and ΔACB are said to be right triangles.

Since ∠X ≅ ∠A   - given

Then ∠X and ∠Z are  said to becomplementary angles

Since m∠Z = 90° - m∠X   -- given

Then ∠A and ∠B are said to be complementary angles

Since m∠B = 90° - m∠A  --- given

Then, ∠Z ≅ ∠B

Therefore ΔXYZ ∼ ΔACB are  similar triangles because it has its corresponding sides to be proportional and its corresponding angles to be congruent.

Note:

sin ∠X = 5/5.59

sin ∠X = YZ/XY

YZ = 5  seen in ΔXYZ

XZ = 5.59 seen in hypotenuse of ΔXYZ

Then one need to Calculate the length of one aspect of XY:

XY = √((5.59)2 - 52)

= 2.4996

Note CB/YZ = 2

CD = 2*YZ = 2 x 5

= 10

AC/XY = 2

AC = 2* XY

= 2 x 2.4996

= 4.999

Learn more about dilation from:

brainly.com/question/27517432

#SPJ1

7 0
2 years ago
A figure is composed of a semicircle and a right triangle. Determine the area of the shaded region. Use 3.14 for π and round to
Aliun [14]

Answer:

A=9.5\ ft^2

Step-by-step explanation:

we know that

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so

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we have

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Find the height of the right triangle applying the Pythagorean Theorem

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substitute in the formula

A=\frac{1}{2}(4)(3)+\frac{1}{2}(3.14)(1.5)^{2}

A=6+3.5=9.5\ ft^2

5 0
3 years ago
Read 2 more answers
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