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Feliz [49]
3 years ago
7

Multiply (5 + 4i)(3+ 2i)

Mathematics
2 answers:
dem82 [27]3 years ago
8 0

Answer:

45

Step-by-step explanation:

olganol [36]3 years ago
6 0

Answer:

7 + 22i

Step-by-step explanation:

hope this helps

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Find shaded area of the circle. Please help!
Tanya [424]

Answer:

26.1799

Step-by-step explanation:

Area equals \pir² = \pi5² = 78.5398

The two shaded areas are each 60°.  That makes 120°.  120°is 1/3 of 360°

78.5398÷3=26.1799

5 0
4 years ago
Read 2 more answers
The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 mº. Find the dimensions of the r
zhenek [66]

Answer:

  • The dimensions of rectangle are 12 m and 4.5 m

Step-by-step explanation:

Given that, The length of a rectangle is 3 m more than twice the width, and the area of the rectangle is 54 m²

Let's assume width of rectangle be x m and length be 3 + 2x m respectively. To find the dimensions of the rectangle we will use the formula of Perimeter of rectangle

\\  { \underline{ \boxed{ \pmb{ \sf{ \purple{Area _{(rectangle)} = Length  × width}}}}}} \\ \\

Substituting values in above formula:

\\ \dashrightarrow \sf \: \:  (3 + 2x)(x)  = 54  \\

\dashrightarrow \sf \: \: 3x +  2x^2 = 54 \\

\dashrightarrow \sf \: \: - 54 + 3x + 2x^2 = 0 \\

\dashrightarrow \sf \: \: 2x^2 + 3x - 54 = 0\\

\dashrightarrow \sf \: \: 2x^2 + 12x - 9x - 54 = 0\:

\dashrightarrow \sf \: \: 2x(x + 6)  -9(x + 6) = 0\\

\dashrightarrow \sf \: \: (2x -9)(x+6) = 0  \\

\sf{x=}{\sf{\dfrac{9}{2}}}{\sf{\: or\: -6}}

\dashrightarrow  \:  \: { \underline{ \boxed{ \pmb{ \sf{\purple{ x = 4.5 }}}}}}

Hence,

  • Length of rectangle = 3 + 2x = 3 + 2(4.5) = 12 m
  • Width of the rectangle = x = 4.5m

\\ { \underline{  \pmb{ \frak{ \therefore Length \:  and \:  width  \: of  \: the  \: rectangle  \: is \:12 \: m \: and \:  4.5 \: m}}}} \\

5 0
2 years ago
Read 2 more answers
What number is a common denominator for 3/8 and 1/3
son4ous [18]
The common denominator for 3/8 and 1/3 is 24.
Reason: to get the common denominator you multiply the denominator of both
8*3= 24
3 0
3 years ago
How do I find what x is in this equation.<br> 1 2/5x =7 <br> What is x?
Alika [10]
If you would like to solve the equation 1 2/5 * x = 7, you can calculate this using the following steps:

1 2/5 * x = 7
7/5 * x = 7      /*5/7
x = 7 * 5/7
x = 5

The correct result would be 5.
3 0
4 years ago
Read 2 more answers
How do you convert 41/8 and 12/1 to common denominators?
Anna [14]
Multiply 8 the numerator and denominator to the second one.
12/1
8(12/1)
96/8
Now they have the same denominators.
6 0
4 years ago
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