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Lady_Fox [76]
3 years ago
10

I need help with this geometry question

Mathematics
1 answer:
PtichkaEL [24]3 years ago
8 0

Answer:

24

Step-by-step explanation:

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Find the standard form of the complex number 6(cos(30degree) +i sin (30 degree))
Marat540 [252]

Answer:

= 3√3 + 3i

Step-by-step explanation:

Cos 30° = √3/2

Sin 30°  = 1/2

Therefore;

z = 6 (cos 30° + i6 sin 30°)

  = 6 (√3/2) + i 6 (1/2)

   = 3√3 + 3i

6 0
3 years ago
QUESTION 1 1 POINT<br> Factor: 27m3<br> 64.<br> Provide your answer below:<br> Content attribution
pickupchik [31]

Answer:

\boxed{ \bold{ \boxed{ \sf{(3m - 4)(9 {m}^{2}  + 12m + 16)}}}}

Step-by-step explanation:

\sf{27 {m}^{3}  - 64}

\dashrightarrow{ \sf{( {3m)}^{3}  -  {(4)}^{3} }}

Use the formula of a³ - b³ = ( a - b) ( a² + ab + b² )

\longrightarrow{ \sf{(3m - 4)(3 {m}^{2}  + 3m \times 4 +  {4}^{2} }})

\longrightarrow{ \sf{(3m - 4)( {9m}^{2}  + 12m + 16}})

Hope I helped!

Best regards! :D

5 0
3 years ago
Triangle RST has sides measuring 22 inches and 13 inches and a perimeter of 50 inches. What is the area of triangle RST? Round t
Nonamiya [84]

Answer:

Area of triangle RST = 95 in² (Approx)

Step-by-step explanation:

Given:

Side a = 22 in

Side b = 13 in

Perimeter = 50 in

Find:

Area of triangle

Computation:

Side c = Perimeter - Side a - Side b

Side c = 50 - 22 - 13

Side c = 15 in

Heron's formula:

s = Perimeter / 2 = 50 / 2

s = 25 in

Area of triangle = √s(s-a)(s-b)(s-c)

Area of triangle = √25(25-22)(25-12)(25-15)

Area of triangle = √25(3)(13)(10)

Area of triangle = 5√390

Area of triangle = 5 × 19(approx)

Area of triangle RST = 95 in² (Approx)

6 0
3 years ago
HELP PLEASE IMMEDIATELY!! Jordan plans to carpet his living room. The dimensions of his living room are 11 feet by 12 feet. The
irakobra [83]

Answer:

$16.50

Step-by-step explanation:

Multiply 11 by 12

Then times the amount you get from multiplying 11 and 12

7 0
3 years ago
44 prime factorization
il63 [147K]

Answer:

2 * 2 * 11

Step-by-step explanation:

Find the set of prime numbers that, when multiplied together, give 44.

:)

6 0
3 years ago
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