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wlad13 [49]
3 years ago
14

Need help with trig question

Mathematics
1 answer:
Solnce55 [7]3 years ago
5 0

Answer:

  0 +256i

Step-by-step explanation:

According to Euler's formula, ...

  (4 cis π/8)^4 = (4^4) cis (4×π/8) = 256 cis π/2 = 0 +256i

_____

"cis" is an abbreviation sometimes used for "cosine + i×sine". It simplifies writing the expression. Engineers sometimes simplify it further, writing 4∠(π/8) for the expression in this problem statement.

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Need help on this. Don’t understand a thing and I need to get this done ASAP. If you knew please help. It would be greatly appre
matrenka [14]

Answer:

the Lateral SA is 84

The total is 1092.

Step-by-step explanation:

4 0
2 years ago
Consider the vector x: x <- c(2, 43, 27, 96, 18) Match the following outputs to the function which produces that output. Opti
Nookie1986 [14]

<u>Completed Question</u>

Outputs to be matched to the functions are:

  • 1,2,3,4,5
  • 1,5,3,2,4
  • 1, 4, 3, 5, 2
  • 2, 18, 27, 43, 96

Answer:

  • sort(x): 2, 18, 27, 43, 96
  • order(x): 1, 5, 3, 2, 4
  • rank(x) : 1, 4, 3, 5, 2
  • none of these :  1, 2, 3, 4, 5

Step-by-step explanation:

Given the vector x: x <- c(2, 43, 27, 96, 18)

<u>Sort</u>

In R, the sort(x)  function is used to arrange the entries in ascending or descending order. By default, R will sort the vector in ascending order.

Therefore, the output that matches the sort function is:

sort(x): 2, 18, 27, 43, 96

<u>Rank</u>

The rank function returns a vector with the "rank" of each value.

x <- c(2, 43, 27, 96, 18)

  • 2 has a rank of 1
  • 43 has a rank of 4
  • 27 has a rank of 3
  • 96 has a rank of 5
  • 18 has a rank of 2

Therefore, the output of rank(x)  is: 1, 4, 3, 5, 2

<u>Order</u>

When the function is sorted, the order function gives the previous location of each of the element of the vector.

Using the sort(x) function, we obtain: 2, 18, 27, 43, 96

In the vector: x <- c(2, 43, 27, 96, 18)

  • 2 was in the 1st position
  • 18 was in the 5th position
  • 27 was in the 3rd position
  • 43 was in the 2nd position
  • 96 was in the 4th position

Therefore, the output of order(x) is: 1, 5, 3, 2, 4

7 0
2 years ago
Original price:$29.99;markdown: 33 1/3%<br> Find the retail price
-Dominant- [34]
33.3%, move the decimal to the left twice to make it easier. then multiply 29.99 by .333. take that and subtract it from 29.99. I got 20, I'm not sure if that's right though
3 0
3 years ago
Read 2 more answers
suppose Tomas buys a total of 30 baseball and football cards in week 5 . how many of each would he have to buy to keep the same
Charra [1.4K]

Answer:

  • 18 baseball cards
  • 12 football cards

Step-by-step explanation:

The only relationship shown in the table is in week 1, where the ratio of baseball to football cards is ...

  baseball : football = 9 : 6

In week 1, the total of these numbers is 15. You want the total in week 5 to be 30, double the total in week 1. So, Thomas needs to purchase double the numbers he purchased in week 1:

  • 18 baseball cards
  • 12 football cards

_____

<em>Comment on the attachment</em>

This table came from another question you posted, a question with no content other than the table. The blue numbers are blanks in the original table that have been filled in so as to keep the same 3:2 proportion in each week. They appear to have no bearing on this question.

7 0
3 years ago
8^1/3 or how to do it with any fractions
ahrayia [7]

Answer:

2

Step-by-step explanation:

When given a fractional power, you want to try to see if the base has any power that can be used to simplify the power.

Since a^b/c =

\sqrt[b]{ {a}^{c} }

8^1/3=

\sqrt[3]{ {8}^{1} }

8 times by it self it 8

cube root of 8 is three numbers that are the same and times by each other to give 8

2×2×2=8

》2

8 0
3 years ago
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