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kvv77 [185]
2 years ago
12

Two trains leave towns 474 kilometers apart at the same time and travel toward each other. One train travels13 km/m faster than

the other. If they meet in 2 hours, what is the rate of each train?
Mathematics
1 answer:
guajiro [1.7K]2 years ago
3 0

Answer:

112 km/h

125 km/hr

Step-by-step explanation:

Distance = time * speed

Distance  = distance train 1 + distance train 2

474 = 2(s) + 2(s + 13)

Distribute

474 = 2s + 2s + 26

Combine like terms

474 = 4s + 26

Subtract 26 from both sides

448 = 4s

Divide both sides by 4

112 = s

s = 112 km/h

s + 13 = 125 km/hr

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ehidna [41]

The probability that the first slice of the cake will have the marble exists

7/66.

<h3>How to determine the probability using parts A and B?</h3>

Part A of the question demands that the volume of the cake be

estimated.

The volume of the cake exists, $V=\pi(\frac{d}{2} )^{2} h \\

$&V=\pi(\frac{9}{2} )^{2} * 4

$V=81 \pi

The part B of the question requires that the volume of each cut be

computed

The volume of each cut exists, V = 27

To estimate the required probability

We simply divide the volume of each cut by the volume of the cake.

$P=\frac{27}{81 \pi}

$P=\frac{1}{3 \pi}

Expand $\pi$

$&P=\frac{7}{3 * 22} \\

$&P=\frac{7}{66}

Therefore, the probability that the first slice of the cake will contain the

marble exists at 7/66.

To learn more about probability refer to:

brainly.com/question/24756209

#SPJ4

4 0
2 years ago
Draw and classify the polygon with the given vertices. Find the perimeter and the area of the polygon. M(-2,5), N(3,-2), P(-2,-2
Nadusha1986 [10]

Answer:

<em>Perimeter = 20.6cm  to 1dp  = 20.60cm to 2dp</em>

<em>Area = Base = 8.6/2 = 4.3 x 4.069  = 17.5cm^2</em>

<em>Height is found 4.07  cos( 54.47deg) 5/8.6 = 4.069cm</em>

Step-by-step explanation:

<em>Right angle side triangle, sides </em>

<em>= MN =8.6cm </em>

<em>= NP=5cm </em>

<em>= PM=7cm </em>

<em>= 25sq + 49sq = 74sq</em>

<em>MN^2 =√74 = 8.60232526704 = 8.6cm</em>

<em>P = 8.6 + 5 + 7 = 20.6cm </em>

5 0
3 years ago
Read 2 more answers
Frances added two numbers and the resulting sum was an irrational number. If the first number was 54
faust18 [17]

Answer:SOMEONE PLZZZ ANSWER THIS I NEED THE ANSWER TO

!!!!!!

Step-by-step explanation:

5 0
3 years ago
The company has 5 employees, who earn a total of $1,000 each working day. They are paid each Monday for their work in the five-d
Angelina_Jolie [31]

5 x 1,000 = 5,000 a week or 20,000 a month.

take 1,000 divide by 5 and you get 200 a day


$400 on december 31


6 0
3 years ago
Read 2 more answers
A Wooden board is leaning against the house the base of the board is 10 feet from the base of the house and the base of the boar
astra-53 [7]

Answer: 12.20 feet.

Step-by-step explanation:

Observe in the figure attached that a right triangle is formed.

Then, you  need to remember the identity:

cos\alpha=\frac{adjacent}{hypotenuse}

In this case you can identify that:

adjacent=10\\hypotenuse=x

\alpha=35\°

Then, to find the length of the wooden board (x), you need to substitute values and solve for x.

Therefore, you get:

cos(35\°)=\frac{10}{x}\\\\(x)(cos(35\°))=10\\\\x=\frac{10}{cos(35\°)}\\\\x=12.20

The length of the wooden board is: 12.20 feet.

5 0
3 years ago
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