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Veronika [31]
3 years ago
6

Mrs galvan's truck averages 24.94 miles per gallon of gasoline. His gasoline tank holds a maximum of 25 gallons. How far could M

r. Galvan travel in miles on a full tank of gasoline?
​
Mathematics
1 answer:
ch4aika [34]3 years ago
6 0

Answer: He could drive 623.5 miles on a full tank of gasoline

Step-by-step explanation:

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Step-by-step explanation:

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2 years ago
Solve the equation cos (x/2) = cos x + 1. what are the solutions on the interval 0° ≤ x &lt; 360°?
Sedbober [7]

Answer:

Step-by-step explanation:

cos (x/2)=cos x+1

cos (x/2)=2cos ²(x/2)

2 cos²(x/2)-cos (x/2)=0

cos (x/2)[2 cos (x/2)-1]=0

cos (x/2)=0=cos π/2,cos (3π/2)=cos (2nπ+π/2),cos(2nπ+3π/2)

x/2=2nπ+π/2,2nπ+3π/2

x=4nπ+π,4nπ+3π

n=0,1,2,...

x=π,3π

or x=180°,540°,...

180°∈[0,360]

so x=180°

or

2cos(x/2)-1=0

cos (x/2)=1/2=cos60,cos (360-60)=cos 60,cos 300=cos (360n+60),cos (360n+300)

x/2=360n+60,360n+300

x=720n+120,720n+300

n=0,1,2,...

x=120,300,840,1020,...

only 120° and 300° ∈[0,360°]

Hence x=120°,180°,300°

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Which line is perpendicular to the line y=-1/3x-2 and passes through point (1,4)
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Option 3)  y = 3x+1

Step-by-step explanation:

<u><em>Given equation is:</em></u>

y = -\frac{1}{3} x -2

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So the  ⊥ line has a slope = m =  3

Now,

Point = (x,y) = (1,4)

So, x = 1, y = 4

<u><em>Putting this in slope intercept form to get b</em></u>

=> y = mx+b

=> 4 = (3)(1) + b

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=> y = 3x+1

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