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Kobotan [32]
3 years ago
13

A rental car company charges $30.05 per day to rent a car and $0.10 for every mile driven. Anthony wants to rent a car, knowing

that:
He plans to drive 75 miles.
He has at most $120 to spend.

What is the maximum number of days that Anthony can rent the car while staying within his budget?
Mathematics
1 answer:
gayaneshka [121]3 years ago
8 0

Answer:3 DAYS

Step-by-step explanation:

0.10X75 IS 7.50+30.05 IS 37.55 RIGHT

37.55 X 3 DAYS IS  112.65 BOOM AND 8.35 DOLLARS LEFT

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Write the following sentence using mathematical symbols. The difference of z and two​-thirds is the same as the product of z and
charle [14.2K]

Answer:

Step-by-step explanation:

z - 2/3 = (2/3)z

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What type of figure must a quadrilateral be if its diagonals bisect each other?
svet-max [94.6K]
It must be a parallelogram.
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The Answer Should Be - 16 Seats In A Row

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3 years ago
(1-i)^2 find 4 th root​
sergiy2304 [10]

By de Moivre's theorem,

1 - i = \sqrt2\,e^{-i\pi/4} \implies (1-i)^2 = 2\,e^{-i\pi/2}

\implies \sqrt[4]{(1 - i)^2} = \sqrt[4]{2}\,e^{i(2\pi k-\pi/2)/4} = \sqrt[4]{2}\,e^{i(4k-1)\pi/8}

where k\in\{0,1,2,3\}. The fourth roots of (1-i)^2 are then

k = 0 \implies \sqrt[4]{2}\,e^{-i\pi/8}

k = 1 \implies \sqrt[4]{2}\,e^{i3\pi/8}

k = 2 \implies \sqrt[4]{2}\,e^{i7\pi/8}

k = 3 \implies \sqrt[4]{2}\,e^{i11\pi/8}

or more simply

\boxed{\pm\sqrt[4]{2}\,e^{-i\pi/8} \text{ and } \pm\sqrt[4]{2}\,e^{i3\pi/8}}

We can go on to put these in rectangular form. Recall

\cos^2(x) = \dfrac{1 + \cos(2x)}2

\sin^2(x) = \dfrac{1 - \cos(2x)}2

Then

\cos\left(-\dfrac\pi8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac{1 + \cos\left(\frac\pi4\right)}2} = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}

\sin\left(-\dfrac\pi8\right) = -\sin\left(\dfrac\pi8\right) = -\sqrt{\dfrac{1 - \cos\left(\frac\pi4\right)}2} = -\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}

\cos\left(\dfrac{3\pi}8\right) = \sin\left(\dfrac\pi8\right) = \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}

\sin\left(\dfrac{3\pi}8\right) = \cos\left(\dfrac\pi8\right) = \sqrt{\dfrac12 + \dfrac1{2\sqrt2}}

and the roots are equivalently

\boxed{\pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} - i\sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right) \text{ and } \pm\sqrt[4]{2}\left(\sqrt{\dfrac12 + \dfrac1{2\sqrt2}} + i \sqrt{\dfrac12 - \dfrac1{2\sqrt2}}\right)}

7 0
2 years ago
An angle measures 66º more than the measure of its complementary angle. What is the
Vikki [24]

Answer:

24

Step-by-step explanation:

this will probably help, Every complementary angle is equal to 90 so the other angle must be....24

8 0
3 years ago
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