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Anon25 [30]
3 years ago
7

Surface area formula of a parallelogram prism

Mathematics
1 answer:
Alina [70]3 years ago
8 0
SA=bh (surface area for parallelogram prism)
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Write the complex number in the form a + bi.<br> 3(cos 60° + i sin 60°)
hram777 [196]

Answer:

The complex number in the form of a + b i is 3/2 + i √3/2

Step-by-step explanation:

* Lets revise the complex number in Cartesian form and polar form

- The complex number in the Cartesian form is a + bi

-The complex number in the polar form is r(cosФ + i sinФ)

* Lets revise how we can find one from the other

- r² = a² + b²

- tanФ = b/a

* Now lets solve the problem

∵ z = 3(cos 60° + i sin 60°)

∴ r = 3 and Ф = 60°

∵ cos 60° = 1/2

∵ sin 60 = √3/2

- Substitute these values in z

∴ z = 3(1/2 + i √3/2) ⇒ open the bracket

∴ z = 3/2 + i √3/2

* The complex number in the form of a + b i is 3/2 + i √3/2

6 0
3 years ago
Read 2 more answers
Two trains leave the station at the same, one heading west and the other east. The westbound train travels at 55 miles per hour.
Mars2501 [29]

The time that taken for the two trains is 1.2 hours.

The computation of the time taken for the two trains is shown below:

Given that

The westbound train travels 55 miles per hour.

And, the eastbound train travels 75 miles per hour.

So, the total speed is

= 55 miles per hour + 75 miles per hour

= 130 miles per hour

The distance is 156 miles

So, the time taken is

= \frac{distance}{speed}\\\\= \frac{156\ miles}{130\  miles\ per\ hour}\\\\

= 1.2 hours

Therefore we can conclude that the time that taken for the two trains is 1.2 hours.

Learn more about the speed here: brainly.com/question/21791162

4 0
3 years ago
Read 2 more answers
16. The number of miles a car can be driven depends on the number of gallons in its tank. The
valentina_108 [34]

Answer:

Step-by-step explanation:

a cheap 22 * 22 is 44 so the answer should be 44 please don't trust me if I'm wrong I'm using the voice thing so yeah

5 0
3 years ago
The cost of 8 muffins and 2 quarts of mil is $18. The cost of 3 muffins and 1 quart of milk is $7.50 hos much does 1 muffin and
emmasim [6.3K]

Answer:

The cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

Step-by-step explanation:

Let us assume that the cost of one muffins be x.

Let us assume that the cost of one 1 quarts of milk be y.

As given

The cost of 8 muffins and 2 quarts of mil is $18.

Than the equation becomes

8x + 2y = 18

As given

The cost of 3 muffins and 1 quart of milk is $7.50.

Than the equation becomes

3x + 1y = 7.50

Two equations are

8x + 2y = 18  and 3x + 1y = 7.50

Multiply  3x + 1y = 7.50 by 2 and subtracted from 8x + 2y = 18 .

Thus

8x - 6x + 2y - 2y = 18 - 15

2x  =  3

x = \frac{3}{2}

x = 1.5

Put x = 1.5 in 3x + 1y = 7.50

3 × 1.5 + y = 7.50

y = 7.50 - 4.5

y = 3

Therefore the cost of the 1 muffin is $1.5 and 1 quart of milk cost is $3 .

3 0
3 years ago
A ferris wheel has 15 seat buckets. What is the angle measurement between each bucket?
Maru [420]
Is there more to questions. you can solve it with little info
6 0
3 years ago
Read 2 more answers
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