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3 years ago

Sally can drive 750 miles in 12 hours and 30 minutes. What is her unit rate in miles per hour?

Mathematics

1 answer:

Kaylis [27]3 years ago

8 0

Answer:

Step-by-step explanation:

750÷12.5=60

Convert 12 and a half hours into a decimal.=12.5

You would divide the 750 by the 12.5.

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Write each complex number in rectangular form. a. 2(cos(135)+i sin(135)) b. 3(cos(120))+i sin(120)) c. 5(cos(5pi/4)+i sin(5pi/4)

bagirrra123 [75]

$\bf r\left[ cos\left( \theta \right)+i\ sin\left( \theta \right) \right]\quad 
\begin{cases}
x=rcos(\theta )\\
y=rsin(\theta )
\end{cases}\implies 
\begin{array}{llll}
x&,&y\\
a&&b
\end{array}\implies a+bi\\\\
-------------------------------\\\\
2\left[ cos\left( 135^o\right)+i\ sin\left( 135^o\right) \right]\impliedby r=2\qquad \theta =135^o
\\\\\\
2\left( -\frac{\sqrt{2}}{2} \right)+i\ 2\left( \frac{\sqrt{2}}{2}\right)\implies -\sqrt{2}+\sqrt{2}\ i$

$\bf -------------------------------\\\\
3\left[ cos\left( 120^o\right)+i\ sin\left( 120^o\right) \right]\impliedby r=3\qquad \theta =120^o
\\\\\\
3\left( -\frac{1}{2} \right)+i\ 3\left( \frac{\sqrt{3}}{2}\right)\implies -\frac{3}{2}+\frac{3\sqrt{3}}{2}\ i$

$\bf \\\\
-------------------------------\\\\
5\left[ cos\left( \frac{5\pi }{4}\right)+i\ sin\left( \frac{5\pi }{4}\right) \right]\impliedby r=5\qquad \theta =\frac{5\pi }{4}
\\\\\\
5\left( -\frac{\sqrt{2}}{2} \right)+i\ 5\left( -\frac{\sqrt{2}}{2}\right)\implies -\frac{\sqrt{2}}{2}-\frac{\sqrt{2}}{2}\ i$

$\bf -------------------------------\\\\
4\left[ cos\left( \frac{5\pi }{3}\right)+i\ sin\left( \frac{5\pi }{3}\right) \right]\impliedby r=4\qquad \theta =\frac{5\pi }{3}
\\\\\\
4\left( \frac{1}{2} \right)+i\ 4\left( -\frac{\sqrt{3}}{2}\right)\implies \frac{1}{2}-\frac{\sqrt{3}}{2}\ i$

3 0

3 years ago

What is the value of 6x squared+ 4x + 8 when x=7? Please answer this I really need help!

stealth61 [152]

Let’s write it simply, that helps us solve it easier.
6x^2+4x+8
Now, insert 7 in place of x.
6(7)^2+4(7)+8
Now, multiply.
42^2+28+8
Solve for exponents.
1,764+28+8
Add.
1,792+8
1,800
Hope this helps!

3 0

3 years ago

Find the sum or difference of (7-8i)+(-2-3i)

Mamont248 [21]

The answer will be 5-11i

8 0

4 years ago

What are the domain and range of the function f(x) = 4? {x| x is a real number}; {y| y > 0} {x| x > 4}; {y| y > 0} {x|

Crazy boy [7]

Answer:

The domain is {x:x is a real number}

The range is {y:y is only 4}

Step-by-step explanation:

The domain of the function is the values of x

The range of the function is the values of y

f(x) = 4 is represented graphically by a horizontal line // to x-axis from y = 4

Every point on the this line has different values of x but same value of y

ex: (-1 , 4) , (5 , 4) , ( 0.1 , 4) , ................

So f(x) = 4 is called constant function

4 0

3 years ago

Read 2 more answers

Tolong bantu jawab please, makasih sebelumnya!

sweet [91]

Answer:

2x² - 3x - 2

Explain:

Use the FOIL method: (a +b)(c +d) = ac + ad +bc +bd.

2x² + x - 4x - 2

Collect like terms.

2x² + (x - 4x) - 2

Simplify.

2x² - 3x - 2

6 0

3 years ago