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jeka94
2 years ago
12

A car moves with an average speed of 45 miles/hour. How long does the car take to travel 90 miles? A. 2 minutes B. 2 hours C. 45

minutes D. 45 hours E. 90 minutes
Mathematics
2 answers:
AlexFokin [52]2 years ago
8 0

Answer: Like very one said 2 hours would be your answer

Step-by-step explanation:

PLATO USERS ONLY!!

svlad2 [7]2 years ago
5 0

We know that distance = rate(time). We need to solve for time here.

d = rt\\90 = 45t\\t = \frac{90}{45}\\t = 2


The car took 2 hours to travel 90 miles at a speed of 45 mi/hr


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The coordinates below represent two linear equations.
vovikov84 [41]
First write the equations in the slope-intercept form:
y=mx+b \\ \\
m=\frac{y_2-y_1}{x_2-x_1}

Line 1 passes through the points (-6,-6) and (-4,-3).
m=\frac{-3-(-6)}{-4-(-6)}=\frac{-3+6}{-4+6}=\frac{3}{2} \\ \\
(-6,-6) \to x=-6, \ y=-6 \\
-6=\frac{3}{2} \times (-6) + b \\
-6=-9+b \\
b=3 \\ \\ y=\frac{3}{2}x+3

Line 2 passes through the points (0,3) and (2,6).
m=\frac{6-3}{2-0}=\frac{3}{2} \\ \\
(0,3) \to x=0, \ y=3 \\
3=\frac{3}{2} \times 0 + b \\
b=3 \\ \\
y=\frac{3}{2}x+3

These are two identical lines so the system of equations has infinitely many solutions. The answer is D.
7 0
3 years ago
Read 2 more answers
Determine the principal value of the function: Arc sin(square root of 3/2)
Drupady [299]

Answer:

π/3

Step-by-step explanation:

We have to find the principal value of \text{arc sin}(\frac{\sqrt{3}}{2} )

arc sin means sin inverse. The sin inverse is a one to one function with its range between -\frac{\pi}{2} \textrm{ to } \frac{\pi}{2}

The principal value of the arc sin will lie within the above given range.

value of sin (60) or sin(\frac{\pi}{3}) is \frac{\sqrt{3}}{2}.

\frac{\pi}{3} lies between -\frac{\pi}{2}\textrm{ and } \frac{\pi}{2}

So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3

5 0
3 years ago
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Nonamiya [84]

Answer:

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3 years ago
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Aleksandr-060686 [28]

Answer:

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5 0
3 years ago
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Vikentia [17]

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5 0
3 years ago
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