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Flura [38]
3 years ago
15

Two trains leave stations 494 miles apart at the same time and travel toward each other. One train travels at 100 miles per hour

while the other travels at 90
miles per hour. How long will it take for the two trains to meet? do not do any rounding.
Mathematics
1 answer:
svet-max [94.6K]3 years ago
3 0

Answer:

The trains will meet after 2.6 hours.

Step-by-step explanation:

Add up the distances traveled by the two trains:

distance1 = (100 mph)(t hours)

distance2 = (90 mph)(t hours)

Sum of distance1 and distance2 = 494 miles = (190 mph)(t hours)

Solving for t, we get   t = 494 miles / 190 mph  = 2.6 hours

The trains will meet after 2.6 hours.

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A point D (3, 2) is rotated clockwise through 90°. Find the new coordinates of D'.
qwelly [4]

Answer:

the rule for rotating 90 degrees clockwise is (x,y) to (y,-x). (3,2) will turn into (2,-3)

Step-by-step explanation:

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A man wants to paint his room with an area of 515 square feet. He mixses the following paints to make a shade of green
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3 years ago
The petronas towers in Kuala Lumpur, Malaysia, are 452 meters tall. A woman who is 1.75 meters tall stands 120 meters from the b
bazaltina [42]

Answer:

75.1^{\circ}

Step-by-step explanation:

In this problem, we have:

H = 452 m is the height of the Petronas tower

h = 1.75 m is the height of the woman

d = 120 m is the distance between the woman and the base of the tower

First of all, we notice that we want to find the angle of elevation between the woman's hat the top of the tower; this means that we have consider the difference between the height of the tower and the height of the woman, so

H' = H-h = 452-1.75=450.25 m

Now we notice that d and H' are the two sides of a right triangle, in which the angle of elevation is \theta. Therefore, we can write the following relationship:

tan \theta = \frac{H'}{d}

since

H' represents the side of the triangle opposite to \theta

d represents the side of the triangle adjacent to \theta

Solving the equation for \theta, we find the angle of elevation:

\theta = tan^{-1}(\frac{H'}{d})=tan^{-1}(\frac{450.25}{120})=75.1^{\circ}

3 0
3 years ago
Solve for x<br>A:10 B:14.5 C:20 D:6÷3​
den301095 [7]

By applying Cathetus theorem, the value of x is equal to 10 units.

<h3>How to determine the value of x?</h3>

In order to determine the value of x, we would apply Cathetus theorem (leg rule), which states that each leg of a right-angled triangle is the geometric mean that's directly proportional between the hypotenuse and the part of the hypotenuse that's directly below the leg.

In this context, we have:

x² = m × a

x² = (21 + 4) × 4

x² = 25 × 4

x² = 100

x = √100

x = 10 units.

Read more on Cathetus theorem here: brainly.com/question/11357448

#SPJ1

7 0
2 years ago
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