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nata0808 [166]
3 years ago
12

You go for a half day hike. In 44 hours, you hike 10

Mathematics
2 answers:
il63 [147K]3 years ago
8 0
10/44 or 4.4 is your answer
nataly862011 [7]3 years ago
6 0
44 divided by 10 will give you the answer

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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
2 years ago
Read 2 more answers
A construction worker bought several bottles of juice for $3 at the comedian store she paid for them the $20 bills if J represen
irina [24]

Expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

<u>Solution:</u>

Given that  

A construction worker bought several bottles of juice for $3 at the comedian store

She paid for them the $20 bills

Number of bottles of juice is represented by variable J

Need to write an expression for the change she receives.  

From given information

Price of 1 juice bottle = $3

\text { So price of J juice bottles }=\mathrm{J} \times \text { Price of } 1 \text { juice bottle }

=\mathrm{J} \times 3=3 \mathrm{J}

<em>Change she receives = Amount she paid - price of J juice bottles   </em>

=> Change she receives = 20 – 3J

Hence expression 20 – 3J represents the change in dollars, which construction worker will receive after buying J bottles of juice.

4 0
3 years ago
1) Matthew can run of a mile in of an hour. What is the unit rate?
Scrat [10]
Brrnrb ururrururjbbrejejrjrjjrjrjjrjr rjjrjrjrjr
7 0
3 years ago
I need the answers pls
yuradex [85]
350 is the solution because the slope is 50meters/1minute
50✖️7=350
Or 250+50+50=350
4 0
3 years ago
Read 2 more answers
UPPER AND LOWER BOUNDARIES
const2013 [10]

Answer:

The minimum of a - b is 41.325

Step-by-step explanation:

Let us solve the question using upper and lower boundaries

∵ a = 49.0 rounded to 1 decimal place

∵ 1 decimal place means 0.1

→ Divide 0.1 by 2

∵ 0.1 ÷ 2 = 0.05

→ Add 0.05 to the rounded number to get the upper boundary

∵ 49.0 + 0.05 = 49.05

∴ The upper boundary = 49.05

→ Subtract 0.05 from the rounded number to get the lower boundary

∵ 49.0 - 0.05 = 48.95

∴ The lower boundary = 48.95

∴ The range of a is 48.95 ≤ a < 49.05

∵ b = 7.62 rounded to 2 decimal places

∵ 2 decimal place means 0.10

→ Divide 0.01 by 2

∵ 0.01 ÷ 2 = 0.005

→ Add 0.005 to the rounded number to get the upper boundary

∵ 7.62 + 0.005 = 7.625

∴ The upper boundary = 7.625

→ Subtract 0.005 from the rounded number to get the lower boundary

∵ 7.62 - 0.005 = 7.615

∴ The lower boundary = 7.615

∴ The range of b is 7.615 ≤ b < 7.625

To find the minimum value of a - b, use the smallest value of a and the greatest value of b

∵ The minimum of a - b = lower boundary of a - upper boundary of b

∴ The minimum of a - b = 48.95 - 7.625

∴ The minimum of a - b = 41.325

∴ The minimum of a - b is 41.325

5 0
2 years ago
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