9514 1404 393
Answer:
20 miles
Step-by-step explanation:
The north and east distances form the legs of a right triangle. The straight-line distance between the trains is the hypotenuse of that triangle. The Pythagorean theorem can be used to find the length of the hypotenuse (d).
d² = 12² +16²
d² = 144 +256 = 400
d = √400 = 20
The two trains are 20 miles apart.
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<em>Additional comment</em>
You may recognize the given distances are in the ratio 3 : 4. You may recall that side ratios of 3 : 4 : 5 make a right triangle. If so, you recognize that the straight-line distance is (4 miles)×5 = 20 miles. (3:4:5 right triangles show up often in algebra and geometry problems, so might be something you want to look for.)
Answer:
2.45 seconds to the nearest hundredth.
Step-by-step explanation:
Acceleration a = -5, distance s = 15, time = ?.
Final velocity = v = 0.
We need to use the equations of motion under constant acceleration.
v^2 = u^2 + 2as where u is the initial velocity
0 = u^2 + 2*-5*15
u^2 = 150
so u = √150
Now we use v = u + at:
0 = √150 - 5t
t = √150/5
t = 2.45 seconds.
If the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B. 
<em><u>Recall:</u></em>
An inverse proportion relationship is represented with the equation, y = k/x.
k is the constant, which is: k = xy
<em><u>Given:</u></em>
Width varies inversely with the length of a rectangle, if:
width = 4
length = 12
The constant, k = (4)(12)
k = 48
To write the equation that matches the scenario given, plug in the value of k = 48 into y = k/x, which is:
Therefore, if the <em>width </em>(4) of a <em>rectangle </em>varies inversely as its <em>length </em>(12), the equation that represents the inverse variation is: B.
Learn more here:
brainly.com/question/13345186
If h have 2 to be left it will be 2 to the power of 5
Answer:
3x+7
Step-by-step explanation:
Three times a number, let x be the number and 7 so plus 7
