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docker41 [41]
3 years ago
7

Lydia drove 302 miles in 10 hours. on average, how fast did she drive in miles per hour? express your answer in simplest form.

Mathematics
2 answers:
nlexa [21]3 years ago
7 0

Answer:

30.2 mph

Step-by-step explanation:

Hello, I think I can help you with this

the speed average is the  is the quotient of the distance traveled and the time used to do it,  mathematical speaking

Average\ speed =\frac{distance}{time}\\

Step 1

Put the values into the equation

Let

Distance:302 miles

Time:10  hours

Average\ speed =\frac{distance}{time}\\\\Average\ speed =\frac{302\ miles}{10\ hours}\\Average\ speed =30.2 \frac{miles}{hour} \\

Average speed=30.2 mph

Have a great day.

vladimir1956 [14]3 years ago
5 0
I think it is 30.2. I am not 100% sure though.
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grandymaker [24]

Important question. No menu of choices given so we'll just have to figure it out.

It's not possible in two dimensions for all three vertices of an equilateral triangle to be lattice points, i.e. points with integer coordinates.  

Since A(-2,1) and B(4,1) have integer coordinates, our other point won't. There will be a √3 involved, the algebraic tell that there's a 30/60/90 triangle lurking somewhere in the problem.

Here the given side is parallel to the x axis which makes things easier.  

|AB| = 4 - -2 = 6

The x coordinate of the third vertex will be the same as that of the midpoint of AB, let's call it M,

M = ( (-2 + 4) / 2, (1 + 1)/2 ) = (1, 1)

We're making some progress.  Whatever our height h is our two candidates for the third vertex C are (1, 1 ± h).

Since |AB|=6, we get |AB|=|BC|=|AC|=6 because it's an equilateral triangle.

The altitude CM bisects the triangle into 2 30/60/90 triangles.  Let's take one of them, AMC.  Angle AMC is a right angle, so we have a right triangle with legs |AM|=3 and |CM|=h, and hypotenuse |AC|=6. The Pythagorean Theorem tells us:

3² + h² = 6²

9 + h² = 36

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4 0
3 years ago
4(x-12)^1/3 = -16<br> Help please, thank you
Lina20 [59]

Hello!

4 (x-12) ^ 1/3 = -16

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Step 2. Add 16 to both sides, 4 /3 x − 16 + 16 = −16 + 16

Step 3: Multiply both sides by 3/4, ( 3/4)*(4/3x)=(3/4)*(0)

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Hope I could help! :)


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3 years ago
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3 years ago
If x varies inversely as y, and x=27 when y=6 find x when y=2
kondaur [170]

For this case we have that the inverse variation is defined as:

y = \frac {k} {x}

Where:

k: It is the constant of proportionality

According to the statement we have:

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