suppose two rectangles are similar with a scale factor of 2. what is the ratio of their areas? explane

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

What does it mean to say that a data point has a residual of 0

Elina [12.6K]

<span>It means that the point lies directly on the regression line.
</span>

4 0

4 years ago

Parker Middle School's chior needs to raise $480 for an upcoming trip they will take. At their first fundraising project, they r

harkovskaia [24]

The money does the choir still need to raise is $180.

<u>Step-by-step explanation:</u>

The money needed to be raised by the choir for an upcoming trip = $480.

It is given that, the money needed was raised in two fundraising projects.

<u>During the first fundraising project :</u>

The choir raised 25% of the money needed for the trip.

⇒ 25% of 480

⇒ (25/100) × 480

⇒ (1/4) × 480

⇒ 120

Therefore, the first fundraising project raised $120.

<u>During the second fundraising project :</u>

The choir raised 3/8 of the money needed for the trip.

⇒ 3/8 of 480

⇒ (3/8) × 480

⇒ 3 × 60

⇒ 180

Therefore, the second fundraising project raised $180.

<u>To find the money does the choir still need to raise :</u>

You need to find the remaining amount from the 480 after raising money from the two fund raising projects.

For that, find out how much you raised from those fund raising projects and subtract it from the 480.

Money needed = Total money required for the trip - Raised money

⇒ 480 - (120+180)

⇒ 480 - 300

⇒ 180 dollars.

The money does the choir still need to raise is $180.

6 0

3 years ago

Q2. A train travels at a constant speed of 45 m/s. a) Calculate the distance travelled by the train in:

alex41 [277]

Answer:

i) 1350 m

ii) 5400 m

Step-by-step explanation:

<u>Formula for Speed</u>

$\boxed{\sf Speed=\dfrac{Distance}{Time}}$

Rearrange the formula so that Distance is the subject:

$\implies \sf Distance = Speed \times Time$

<h3><u>Question (i)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 30 seconds

Substitute the given values into the formula for distance:

$\implies \sf Distance = 45 \times 30 = 1350\:m$

<h3><u>Question (ii)</u></h3>

Given:

Speed = 45 m/s (meters per second)
Time = 2 minutes

As the time is given in a different unit of time as the speed, we must first convert the time into seconds:

1 minute = 60 seconds

⇒ 2 minutes = 60 × 2 = 120 seconds

Therefore:

Speed = 45 m/s (meters per second)
Time = 120 seconds

Substitute the values into the formula for distance:

$\implies \sf Distance = 45 \times 120 = 5400\:m$

3 0

1 year ago

Read 2 more answers

Classify the following triangle. Check all that apply

grandymaker [24]

Answer:

D, E

Step-by-step explanation:

All sides are not the same length so not A

Two sides are not the same length so not B

Not all angles are less than 90 so not C

All sides are different length so D

There is a right angle so E

Not all sides are greater than 90 so not F

4 0

3 years ago