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erma4kov [3.2K]
2 years ago
15

A train travels at a speed of 58.6 km/h. Express this speed ina. m/sb. cm/min​

Mathematics
1 answer:
tekilochka [14]2 years ago
3 0

Answer:

16.27778 m/s

97666.6667 cm/min

Step-by-step explanation:

<u>a. To convert km/hr into m/sec, multiply the number by 5 and then divide it by 18.</u>

m/s = (58.6 * 5) /18 = 16.27778 m/s

<u />

<u>b. 1 Kilometer/Hour = 1666.66666666667 Centimeter/Minute</u>

so 58.6 * 1666.666 =97666.6667 cm/min

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What is 7/10 - 1/4 (fraction)
mylen [45]
7/10 - 1/4 use common denominators
28/40 - 10/40 = 18/40 = 9/20
5 0
3 years ago
Nine and one-half less than four and one-half times a number is greater than 62.5. Which of the following represents the solutio
kolbaska11 [484]
4.5x - 9.5 > 62.5
4.5x > 62.5 + 9.5
4.5x > 72
x > 72/4.5
x > 16 <==
4 0
3 years ago
Read 2 more answers
5. Высота ромба равна 12 дм, что составляет 60% основания. Вычи-<br> сли площадь ромба
Alexandra [31]

Answer:

yes

Step-by-step explanation:

8 0
2 years ago
I'm having a hard time with this question so someone help please
bulgar [2K]

Answer:

  7.7 km

Step-by-step explanation:

This question is asking you to find the third side of a triangle in which two sides and an angle not between them are given. The law of sines provides the necessary relationships.

<h3>Law of Sines</h3>

The Law of Sines tells you that triangle side lengths are proportional to the sine of the opposite angle. For this triangle TPJ, the relation is ...

  t/sin(T) = p/sin(P) = j/sin(J)

We are given T=68°, p=5.2 km, t=7.5 km, and we are asked to find the length of j, the TP distance.

<h3>Setup</h3>

We know the sum of angles in a triangle is 180°, and the sine of an angle is equal to the sine of its supplement. This lets us fill in the Law of Sines equation like this:

  7.5/sin(68°) = 5.2/sin(P) = j/sin(68°+P) . . . . . solve for j

<h3>Solution</h3>

This can be solved in two steps. First, we find angle P, then we use that to find length j.

  sin(P) = 5.2/7.5 × sin(68°) ≈ 0.642847

  P = arcsin(0.642847) ≈ 40.0045°

Now, we can find j:

  j = 7.5 × sin(68° +40.0045°)/sin(68°) ≈ 7.693 . . . km

The distance from the tower to the plane is about 7.7 km.

__

<em>Additional comment</em>

We have used T, P, and J to refer to the vertices at the tower, plane, and jet.

The triangle can also be solved using the Law of Cosines. In that case, the missing side will be the solution to a quadratic equation with irrational coefficients.

3 0
2 years ago
Write an equation of the line that passes through (18, 2) and is parallel to the line 3y−x=−12
rodikova [14]

First isolate the "y" in the equation.

2y - x = -12 Add x on both sides

2y - x + x = -12 + x

2y = -12 + x   Divide 2 on both sides to get "y" by itself

y = \frac{-12 +x}{2}

y = -6 + \frac{x}{2}

Your slope is \frac{1}{2}.

For the equation of the line to be parallel to the given equation, the slopes have to be the same. So the parallel line's slope is also \frac{1}{2}

y = mx + b

y = \frac{1}{2}x + b

To find "b", you plug in the point (18,2) into the equation

y = \frac{1}{2}x + b

2 = \frac{1}{2}(18) + b

2 = 9 + b Subtract 9 on both sides

2 - 9 = 9 - 9 + b

-7 = b


Your equation is:

y =\frac{1}{2}x - 7

8 0
3 years ago
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