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Dahasolnce [82]
2 years ago
15

Aldo drove 845 miles in 13 hours.

Mathematics
1 answer:
Mila [183]2 years ago
8 0

Answer:

5 hours

Step-by-step explanation:

time per mile = number of hours ÷ number of miles

                      = 13 ÷ 845

                      = 1/65 hours per mile

time to drive 325 miles = 325 × time per mile

                                       = 325 × 1/65

                                       = 5 hours

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There are 3 red hair teachers, 12 brown, 16 black, 8 gray, and 20 blonde. For every ___blonde hair teacher there are ___brown ha
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1.67

Step-by-step explanation:20/12

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2 years ago
What are the roots of the equation? 2x2+x=6 Select each correct answer.
Georgia [21]

Answer:

x = 2

Step-by-step explanation:

2x2=4

4+2=6

6=6

There hope that is what you are looking for

3 0
3 years ago
What are the solutions to he quadratic equation 3x^2+15-18=0
kozerog [31]

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8 0
3 years ago
Which expression is a fourth root of -1+isqrt3?
aleksklad [387]

Answer:

Step-by-step explanation:

\sf n^{th} roots of a complex number is given by DeMoivre's formula.

   \sf \boxed{\bf r^{\frac{1}{n}}\left[Cos \dfrac{\theta + 2\pi k}{n}+i \ Sin \ \dfrac{\theta+2\pi k}{n}\right]}

Here, k lies between 0 and (n -1) ; n is the exponent.

\sf -1 + i\sqrt{3}

a = -1 and b = √3

\sf \boxed{r=\sqrt{a^2+b^2}} \ and \ \boxed{\theta = Tan^{-1} \ \dfrac{b}{a}}

\sf r = \sqrt{(-1)^2 + 3^2}\\\\ = \sqrt{1+9}\\\\=\sqrt{10}

                   \sf \theta = tan^{-1} \ \dfrac{\sqrt{3}}{-1}\\\\ = tan^{-1} \ (-\sqrt{3})

                   \sf = \dfrac{-\pi }{3}

n = 4

For k = 0,

          \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{\dfrac{-\pi}{3} +0}{4}+iSin  \ \dfrac{\dfrac{-\pi}{3}+0}{4}\right] \\\\\\z= \sqrt[4]{10} \left[Cos \ \dfrac{ -\pi  }{12}+iSin  \ \dfrac{-\pi}{12}\right]\\\\\\z = \sqrt[4]{10}\left[-Cos \ \dfrac{\pi}{12}-i \ Sin \ \dfrac{\pi}{12}\right]

For k =1,

         \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{5\pi}{12}+i \ Sin \ \dfrac{5\pi}{12}\right]

For k =2,

       z = \sqrt[4]{10}\left[Cos \ \dfrac{11\pi}{12}+i \ Sin \ \dfrac{11\pi}{12}\right]

For k = 3,

      \sf z = \sqrt[4]{10}\left[Cos \ \dfrac{17\pi}{12}+i \ Sin \ \dfrac{17\pi}{12}\right]

For k = 4,

      \sf z =\sqrt[4]{10}\left[Cos \ \dfrac{23\pi}{12}+i \ Sin \ \dfrac{23\pi}{12}\right]

4 0
1 year ago
3х +5 &gt; – 2x — 5<br> ............
Yanka [14]

Answer:

x>-2

Step-by-step explanation:

6 0
2 years ago
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