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Katyanochek1 [597]

3 years ago

7

A diesel train left Miami and traveled north at an average speed of 45mph. A cattle train left one hour later from the same stat

ion and traveled in the same direction but with an average speed of 60mph. How long did it take the cattle train to catch up to the diesel train?

1 answer:

garik1379 [7]3 years ago

6 0

Answer:

3 hours

Step-by-step explanation:

wbdb

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Find the area of the shaded region round to the nearest tenth

Alenkinab [10]

Answer: 818.4

Step-by-step explanation:

Using the area of a sector formula, we get the area of the entire sector is $(\pi)(27.8^{2})\left(\frac{150}{360} \right)$ .

Using the formula $A=\frac{1}{2} ab \sin C$ , we get the area of the triangle is $\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ})$ .

So, the area of the shaded sector is $(\pi)(27.8^{2})\left(\frac{150}{360} \right)-\frac{1}{2}(27.8)(27.8)(\sin 150^{\circ}) \approx \boxed{818.4}$

6 0

2 years ago

If the odds against Deborahs winning first prize in a chess tournament are 1 to 11 what is the probability of the event that she

Lemur [1.5K]

Answer: $\dfrac{11}{12}$

Step-by-step explanation:

Given

The odds against winning in a chess tournament are 1 to 11.

Odds is defined as the ratio of the probability of occurrence to the non-occurrence of event.

$\therefore \text{Probability that event will occur is P'=}\dfrac{1}{1+11}\\\\\Rightarrow P'=\dfrac{1}{12}$

Probability of non-occurrence i.e. she wins the first prize is

$\Rightarrow P=1-\dfrac{1}{12}\\\\\Rightarrow P=\dfrac{11}{12}$

7 0

3 years ago

The ratio of incomes of two persons is 9:7. The difference in their weekly income is $200. What are their weekly incomes?

irakobra [83]

Let the income of first person be 9x
let the income of the second person be 7x
difference b/w their weekly income=9x-7x=200
=2x=200
x=100
therefore income of first person is 9x=9×100=RS 900
therefore income of second person is 7x=7×100=RS 700

8 0

3 years ago

Read 2 more answers

4 times what equals 276?

Anettt [7]

Just divid
276/4 = 69
So it's 69

3 0

3 years ago

Read 2 more answers

Y = 2x – 1; (-4,<br> ),(0,<br> ),(7,<br> )

spin [16.1K]

Answer:

Step-by-step explanation:

input all the x values into the equation

(-4,-9)

(7,13)

(0,-1)

6 0

4 years ago