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3 years ago

Jody has already hiked 4 kilometers

Mathematics

2 answers:

Roman55 [17]3 years ago

8 0

Answer:

nice

Step-by-step explanation:

jody

amm18123 years ago

3 0

Answer:

The function should be 2.5h + 4 = 12

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Full Question:

Jody has already hiked 4 kilometers. The trail is 12 kilometers long. She can hike 2.5 per hour. Which function will help Jody figure out how many more hours, h, she needs to hike?

Step-by-step explanation:

Let number of hours = h

Given that she can hike 2.5 per hour. So that means distance travelled in "h" hours will be 2.5h

It is also given that Jody has already hiked 4 kilometers.

So total distance travelled by Jody in "h" hours will be (2.5h + 4)

Given that trail is 12 kilometers long.

That means Jody has to travel for 12 kilometers. In that case both values will be equal and we get equation:

2.5h + 4 = 12

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Ostrovityanka [42]

The complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

$\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)$

$\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)$

$\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}$

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

=21-21i

After converting into the exponential form:

$\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}$

From part (b) and part (c) both results are the same.

Thus, the complex number -7i into trigonometric form is 7 (cos (90) + sin (90) i) and 3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

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you need to plug in 10
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thats if you don't know what to do
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the easy way

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