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Rainbow [258]
3 years ago
10

It takes Kaeden 6 min to type two-thirds of a page. At this rate, how long will it take him to type a 5-page report?

Mathematics
1 answer:
Artist 52 [7]3 years ago
6 0
\begin{array}{ccc}\frac{2}{3}&-&6min\\\\5&-&xmin\end{array}\\\\\\cross\ multiply\\\\\frac{2}{3}x=5\cdot6\\\\\frac{2}{3}x=30\ \ \ \ /\cdot\frac{3}{2}\\\\x=15\cdot3\\\\x=45\ (min)\leftarrow answer
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What is the reflection image of R across the y-axis?
stealth61 [152]
Should be (3,2)

You only need to inverse your x coordinate.

3 0
3 years ago
Read 2 more answers
Please HELP!!!!
Karolina [17]

Answer:


Step-by-step explanation:

Firstly, note that -2i really is just z = 0 + (-2)i, so we see that Re(z) = 0 and Im(z) = -2.

When we're going from Cartesian to polar coordinates, we need to be aware of a few things! With Cartesian coordinates, we are dealing explicitly with x = blah and y = blah. With polar coordinates, we are looking at the same plane but with angle and magnitude in consideration.

Graphing z = -2i on the Argand diagram will look like a segment of the y axis. So we ask ourselves "What angle does this make with the positive x axis? One answer you could ask yourself is -90°! But at the same time, it's 270°! Why do you think this is the case?

What about the magnitude? How far is "-2i" stretched from the typical "i". And the answer is -2! Well... really it gets stretched by a factor of 2 but in the negative direction!

Putting all of this together gives us:

z = |mag|*(cos(angle) + isin(angle))

= 2*cos(270°) + isin(270°)).

To verify, let's consider what cos(270°) and sin(270°) are.

If you graph cos(x) and look at 270°, you get 0.

If you graph sin(x) and look at 270°, you get -1.

So 2*(cos(270°) + isin(270°)) = 2(0 + -1*i) = -2i as expected.

3 0
3 years ago
A student claims that the rectangular point below can be represented by the
Sladkaya [172]

Since we don't have a figure we'll assume one of them is right and we're just being asked to check if they're the same number.  I like writing polar coordinates with a P in front to remind me.

It's surely false if that's really a 3π/7; I'll guess that's a typo that's really 3π/4.

P(6√2, 7π/4) = ( 6√2 cos 7π/4, 6√2 sin 7π/4 )

P(-6√2, 3π/4) = ( -6√2 cos 3π/4, -6√2 sin 3π/4 )

That's true since when we add pi to an angle it negates both the sine and the cosine,

cos(7π/4) = cos(π + 3π/4) = -cos(3π/4)

sin(7π/4) = sin(π + 3π/4) = -sin(3π/4)

Answer: TRUE

3 0
3 years ago
In a school, 4/5 of the students study a language.
Svet_ta [14]

Answer:

I agree with Emma

Step-by-step explanation:

above

4 0
2 years ago
Read 2 more answers
Solve the inequality for x.
Ymorist [56]
A) - 14 is the correct answer
7 0
2 years ago
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