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kap26 [50]
3 years ago
7

Donald's car gets about 30 miles per gallon. About how many miles can Donald drive on 9.2 gallons of gas? At $3.15 a gallon, abo

ut how much would that cost?
Mathematics
2 answers:
bogdanovich [222]3 years ago
7 0
Multiply 9,2 X 30 he can travel 276 miles also the cost is 3,15 X 9,2= $28.98
NNADVOKAT [17]3 years ago
6 0
30x9.2= 276 miles
9.2x3.15=$28.98
So the car can drive 276 miles if you put $28.98 of gas in it.

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What binomial do you have to add to the polynomial x^2+y^2–2xy+1 to get a polynomial: not containing the variable y?
zvonat [6]

Since you do not want the variable y, you must eliminate y^{2}-2xy


Therefore, to eliminate it, you must have the opposite of it, making the answer  2xy-y^{2}


4 0
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For this isosceles triangle, find the measure of angles c and d.
oksano4ka [1.4K]

is there an included angle or lengths for now it's unsolvable

6 0
3 years ago
Which expression is a cube root of -1+i√3?
Tpy6a [65]

Answer:

<em>The correct option is C.</em>

Step-by-step explanation:

<u>Root Of Complex Numbers</u>

If a complex number is expressed in polar form as

Z=(r,\theta)

Then the cubic roots of Z are

\displaystyle Z_1=\left(\sqrt[3]{r},\frac{\theta}{3}\right)

\displaystyle Z_2=\left(\sqrt[3]{r},\frac{\theta}{3}+120^o\right)

\displaystyle Z_3=\left(\sqrt[3]{r},\frac{\theta}{3}+240^o\right)

We are given the complex number in rectangular components

Z=-1+i\sqrt{3}

Converting to polar form

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

\displaystyle tan\theta=\frac{\sqrt{3}}{-1}=-\sqrt{3}

It's located in the second quadrant, so

\theta=120^o

The number if polar form is

Z=(2,120^o)

Its cubic roots are

\displaystyle Z_1=\left(\sqrt[3]{2},\frac{120^o}{3}\right)=\left(\sqrt[3]{2},40^o\right)

\displaystyle Z_2=\left(\sqrt[3]{2},40^o+120^o\right)=\left(\sqrt[3]{2},160^o\right)

\displaystyle Z_3=\left(\sqrt[3]{2},40^o+240^o\right)=\left(\sqrt[3]{2},280^o\right)

Converting the first solution to rectangular coordinates

z_1=\sqrt[3]{2}(\ cos40^o+i\ sin40^o)

The correct option is C.

8 0
3 years ago
find the distance between two numbers on a number line. write your answer as a decimal. -7/9 , -2/9 the distance between the two
lukranit [14]

Answer:

umm.

Step-by-step explanation:

3 0
3 years ago
[(√4 + 3)2 – 9] / (√9 – 1)3 * 2
Ket [755]

Answer:

\frac{1}{12}

Step-by-step explanation:

\frac{(\sqrt{4} + 3)2 - 9}{ (\sqrt{9} - 1)3 * 2}=\frac{(2+3)2-9}{(3-1)6}=\frac{10-9}{2*6}=\frac{1}{12}

8 0
3 years ago
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