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4 years ago

5

The amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. It cost $21.87 to fill up

a car with gasoline with 9 gallons of gasoline. What is the constant of variation?

2 answers:

Pachacha [2.7K]4 years ago

8 0

9 because it is constantly changing

Vilka [71]4 years ago

3 0

No that much 2 or 3 gallons

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What would be the volume

VMariaS [17]

volume=length x width x height

length=3, width=2, height=5

so you just multiply 3x2x5 to get 30

5 0

4 years ago

Using the Law of Cosines, in triangle DEF, if e=18yd, d=10yd, f=22yd, find measurement of angle D

Ivahew [28]

Check the picture below.

$\bf \textit{Law of Cosines}\\ \quad \\
c^2 = {{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)\implies 
c = \sqrt{{{ a}}^2+{{ b}}^2-(2{{ a}}{{ b}})cos(C)}
\\\\\\
\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}=cos(C)\implies cos^{-1}\left(\cfrac{{{ a}}^2+{{ b}}^2-c^2}{2{{ a}}{{ b}}}\right)=\measuredangle C\\\\
-------------------------------\\\\
\begin{cases}
d=10\\
e=18\\
f=22
\end{cases}\implies cos^{-1}\left(\cfrac{{{ 18}}^2+{{ 22}}^2-10^2}{2(18)(22)}\right)=\measuredangle D$

$\bf \implies cos^{-1}\left(0.893\overline{93}\right)=\measuredangle D\implies 26.63^o\approx \measuredangle D$

7 0

4 years ago

What is the value of 12⁰?

vodka [1.7K]

Hello,

Answer:

12⁰ = 1

Step-by-step explanation:

We have any number with exponent 0 = 1

(a⁰) = 1

5 0

2 years ago

Read 2 more answers

My cost is $5 how much do I need to charge to make a 25% profit margin

kotegsom [21]

Markup Percentage = Gross Profit Margin<span>/Unit </span>Cost<span> = </span>$25<span>/$100 = </span>25<span>%</span>

4 0

4 years ago

Micheal is three time as old as Jean in seven year he will be twice old as she will be then how old are they both

PtichkaEL [24]

Answer:

Michael is 21 years old while Jean is 7 years old.

Step-by-step explanation:

Given that Micheal is three times as old as Jean, but in seven years he will be twice old as she will be, to determine how old are they both at this time, the following calculation must be performed:

M = 3J

M + 7 = 2J + 7

7 = 1/3

7 x 3 = 21

21 + 7 = 28

7 + 7 = 14

21 / 7 = 3

28 / 14 = 2

Therefore, Michael is 21 years old while Jean is 7 years old.

5 0

3 years ago