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iren2701 [21]
3 years ago
11

The complex number -5i has the complex trigonometric form of 5(cos 270° + isin 270)

Mathematics
1 answer:
Verizon [17]3 years ago
5 0

Answer:

True ,   -5i =  5*(0 - i) =  5*( cos 3π/2  + i*sin 3π/2)  = 5*(cos 270 + i*sin 270)

Step-by-step explanation:

5*( cos 3π/2 radians  + i*sin 3π/2 radians)  = 5*(cos 270 degrees + i*sin 270 degrees)

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List all partitions of the set. (a) (1,2) (b) [a, b,c)
Alchen [17]

Answer: Hello mate!

The partition of a set is defined as a partition of the set into a nonempty subset, where the set itself is a subset of himself, then the set is a partition of himself.

a) in this we have a set of two objects; A = (1,2) the partitions of this set are: (∅), (1), (2) and (1,2). Where (∅) is the null set.

b) Now we have a set of three objects; B = (a,b,c) the partitions of this set are: (∅), (a), (b), (c), (a,b), (a,c), (b,c), (a,b,c)

3 0
3 years ago
Tim installs 50 square feet of his floor in 45 minutes. At this rate, how long does it take him to install 495 square feet?
77julia77 [94]

Answer:

99.5 minutes

Step-by-step explanation:

50=45

495=?

495×45÷50=99.5

6 0
3 years ago
Read 2 more answers
Which is greater, 2 miles or 1,000 yards? How much greater? Explain. Of 2 miles and 1,000 yards, _____ is greater. Since 2 miles
skelet666 [1.2K]

Answer:

yards

Step-by-step explanation:

7 0
3 years ago
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Starlight tree farms sells douglas firs and noble first one December they sold 139 more douglas first than noble firs the total
Aloiza [94]
Part A:

Given that <span>Starlight tree farms sells Douglas Firs and Noble First.

Let </span>n be the number of Noble Fir trees sold, then<span> if they sold 139 more Douglas First than Noble Firs, this means that the number of Douglas First trees sold is n + 139.

Given that the total number of trees sold was 377, then we have, n + n + 139 = 377, which means that 2n + 139 = 377

Therefore, the equation that could be used to solve for n, the number of Noble Fir trees sold is 2n + 139 = 377.


Part B:

</span><span>Given that you are driving 55 miles per hour and you must drive a total of 440 miles. If you already driven 275 miles, then, the equation representing the number of hours, h, it will take to reach your destination is given by 55h + 275 = 440.

Subtracting 275 from both sides of the equation gives:

</span>55h+275-275=440-275 \\  \\ \Rightarrow55h=165
<span>
Dividing both sides by 55 gives:

</span>\frac{55h}{55} = \frac{165}{55}  \\  \\ \Rightarrow h=3
<span>
Therefore, the time it will take you to reach your destination is 3 hours.</span>
6 0
3 years ago
Solve the system by the substitution method.
Gemiola [76]

Answer:

(2,2)

Step-by-step explanation:

Given equations

x-3y=-4-------------------------------(1)

y=-3x+8.------------------------------(2)

Substitute 2 in 1. This means use the value of y in equation 1, to replace y

x-3(-3x+8)=-4------------------open brackets

x+9x-24=-4---------------------collect like terms

10x=-4+24

10x=20---------------------------divide by 10 both sides to get value of x

10x/10=20/10=2

x=2------------------------------use value of x in equation (2) to get value of y

y=-3x+8

y=-3(2)+8

y=-6+8=2

solutions

x=2, y=2

7 0
3 years ago
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