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Nezavi [6.7K]
4 years ago
6

(3sqr3cis(pi/8))*(3sqr5cis(2pi/3))

Mathematics
1 answer:
Volgvan4 years ago
7 0

Answer:

  9√15·cis(19π/24)

Step-by-step explanation:

The magnitudes multiply and the angles add:

  = ((3√3)(3√5))·cis(π/8 +2π/3)

  = 9√15·cis(π(1/8 +2/3)) = 9√15·cis(π(3/24 +16/24))

  = 9√15·cis(19π/24)

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Brandon used 1 2
MrRa [10]

Answer:

5\dfrac{1}{2}\ \text{kg}

Step-by-step explanation:

Plant food used on strawberry plants is

1\dfrac{2}{3}\ \text{kg}=\dfrac{5}{3}\ \text{kg}

Plant food used on tomato plants is

\dfrac{1}{4}\ \text{kg}

Feeding the strawberry plants two times means

\dfrac{5}{3}+2\times\dfrac{5}{3}=\dfrac{5}{3}+\dfrac{10}{3}\\ =\dfrac{15}{3}=5\ \text{kg}

Feeding the tomato plants one more time means

\dfrac{1}{4}+\dfrac{1}{4}=\dfrac{2}{4}\\ =\dfrac{1}{2}\ \text{kg}

The plant food he will need is 5+\dfrac{1}{2}=5\dfrac{1}{2}\ \text{kg}

3 0
3 years ago
Consider the following series. 1 5 1 10 1 15 1 20 1 25 Determine whether the series is convergent or divergent. Justify your ans
const2013 [10]

Answer:

The series Diverges ; The series is a constant multiple of harmonic series

Step-by-step explanation:

The series :

1/5 + 1/10 + 1/15 + 1/20 + 1/25

The series  can be expressed as :

a1 = 1 / 5*1

a2 = 1 / 5*2

a3 = 1 / 5*3

a4 = 1 / 5*4

a5 = 1 / 5*5

hence we can write a_{n} as ;  a

attached below is the remaining part of the solution

5 0
3 years ago
Carl is boarding a plane. He has 2 checked bags of equal weight and a backpack that weighs 4kg The total weight of Carl's baggag
AnnZ [28]
2x+4=35
35-4=31
31/2=15.5
x=15.5
3 0
3 years ago
Each base angle of an isosceles triangle measures 55° 30'. Each of the congruent sides is 10 centimeters long. Estimate the foll
kogti [31]

Answer:

55 deg 30 Minutes = 55.5 degrees  

sin = opp/hyp  

sin(55.5) = altitude/10  

Altitude = 10*sin(55.5)  

Altitude = 10 * sin(55.5) = 8.241261886  

Rounded to nearest 10th  

Altitude = 8.2 cm  

b. for base use Low of Cosines  

Let C = base  

Side A and B = length 10 Cm  

c^2 = 2*a^2 -2a^2*cos(<C)  

<C = 180 - 2*55.5 = 180 -111 = 69 degrees  

c = sqrt ( 2a^2 - 2a^2*cos(<C)  

c = sqrt ( 2*100- 200*cos(69))  

c = sqrt (200 - 200*cos(69) ) = 11.32812474  

Answer base  

c = 11.3 cms  

c.  

Area = (1/2)*b * h  

Area = (1/2)*(answer a * answer b)  

Area = (1/2)* 11.32812474* 8.241261886 = 46.67902132  

Area = 46.7 (rounded)  

Area = ( 1/2) * a*b*sin(<C) = (1/2)*10*10*sin(69) =  

Area = 50* sin(69) = 46.67902132  

Area = 46.7 (rounded)

Step-by-step explanation:

3 0
3 years ago
What times what equals 19
Vlad [161]
Since 19 is prime, the only factors of 19 are 1 and 19.

So the answer is 1 and 19.

Hope this helped!
6 0
3 years ago
Read 2 more answers
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