Please help please please please

A complex number z_1z 1 z, start subscript, 1, end subscript has a magnitude |z_1|=6∣z 1 ∣=6vertical bar, z, start subscript

aliina [53]

Answer:

The answer is " $\bold{9.19- 9.19\ i}$ "

Step-by-step explanation:

When the value of $z_1$ has the following properties:

$\to |z_1| =13$

$\theta = 315^{\circ} \\\\ = 1.75 \pi\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ _{where} \ \ (\pi = 180^{\circ})$

Calculating the value of $z_1$ :

$= 13 \times [ \cos(1.75 \pi ) + i \sin(1.75 \pi) ] \\\\= 13 \times[\cos(1.75 \pi - 2\pi ) + \ i \sin(1.75 \pi - 2\pi )]\\ \\= 13 \times [\cos(-0.25 \pi ) +\ i \sin(-0.25 \pi) ]\\\\= 13 \times [0.707106781 - 0.707106781]\\\\ =9.19 - 9.19\ i \\\\$

3 0

3 years ago

A random sample of 2 measurements is taken from the following population of values: 0, 1, 3, 4, 7. What is the probability that

mafiozo [28]

Answer:

1/5

Step-by-step explanation:

Range as a measure of central tendency is the difference between the highest value and the lowest value in a given set of data.

Given the samples 0,1,3,4,7

Total number of samples is 5

The range is gotten by taking the difference of 2 samplesout of 5samples and this can be done in 5C2 ways.

5C2 = 5!/(5-2)!2!

= 5!/3!2!

= 5×4×3!/3!×2

= 10ways

The total outcome is therefore 10

To get the probability that the range is 4, we need to get the required outcome of getting range of 4 and this can only occur twice

The range can be gotten by taking the difference between 7 and 3, it can also be gotten by taking the difference between 4 and 0. Both differences will give us a total of 4

The expected outcome is therefore 2

the probability that the range of the sample is 4 = expected outcome/total outcome

= 2/10

= 1/5

7 0

3 years ago

Ryan wanted to know the height of a cell-phone tower neighboring his property he walked 80 feet from the base of the tower and m

spin [16.1K]

Since Ryan is 5 feet tall, we will assume that the height of the cell-phone tower is x + 5.
Since the given is 54 degrees.
Tan 54degrees = x/80(feet)
x=80(tan54)
x=110
To finalize the answer, we will add up the height of the cell-phone tower to the answer.
110 + 5 = 115 feet
So the answer to the question is that the height of the cell-phone tower is 115 ft.

3 0

3 years ago

Arrange numbers in ascending order (smallest on top, largest at the bottom)

Alex Ar [27]

Answer:

1. -50

2. -49

3. 38

4. 175

Step-by-step explanation:

hope it helps

8 0

3 years ago

Read 2 more answers

X

hoa [83]

Ann recipe produces the sandwiches with the most peanut butter flavor

Step-by-step explanation:

The given is:

1. Ann uses 12 1/4 ounces of peanut butter to make 50 1/2 Sandwiches

2. Ben uses 7 1/4 ounces of peanut butter to make 48 1/2

3. Cal uses 15 1/2 ounces of peanut butter to make 85 1/2 sandwiches

To find whose recipe produces the sandwiches with the most peanut

butter flavor we must find the quantity of butter per sandwich in each

recipe

∵ Ann uses 12.25 ounces of peanut butter to make 50.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 12.25 ÷ 50.5 = 0.2426 ounce per sandwich

Ann recipe produces the sandwiches with 0.2426 ounce per sandwich

∵ Ben uses 7.25 ounces of peanut butter to make 48.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 7.25 ÷ 48.5 = 0.1495 ounce per sandwich

Ben recipe produces the sandwiches with 0.1495 ounce per sandwich

∵ Cal uses 15.5 ounces of peanut butter to make 85.5 Sandwiches

- Divide the quantity of butter by the number of sandwiches

∵ 15.5 ÷ 85.5 = 0.1813 ounce per sandwich

Cal recipe produces the sandwiches with 0.1813 ounce per sandwich

∵ The greatest quantity of butter per sandwich is 0.2426 ounce

∴ Ann recipe produces the sandwiches with the most peanut

butter flavor

Ann recipe produces the sandwiches with the most peanut butter flavor

Learn more:

You can learn more about the rate in brainly.com/question/317616

#LearnwithBrainly

3 0

3 years ago