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ira [324]
3 years ago
5

A freight train travels 1445 miles in 25 hours. What is the train's average rate of speed?

Mathematics
1 answer:
Anit [1.1K]3 years ago
7 0

Answer: 57.8 MPH (Miles Per Hour)

Step-by-step explanation: Take 1445 and divide it by 25 you get 57.8, there's your answer!

If you need any further help or instruction let me know!

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4 0
3 years ago
I need the whole solution
ddd [48]

Confused what the question is. Are you looking for the product or the zeroes?

If you are looking for the product, then:

Use foil to get: sec²(1) - sec²(-csc²) -1(1) -1(-csc²)

= sec² + sec²csc² - 1 + csc²

= sec²csc² + sec² + csc² - 1

= sec²csc² + 1 - 1 (NOTE: sec² + csc² = 1 is an identity)

= sec²csc²

Answer: sec²csc²

***************************************************

If you are looking for the zeroes, then:

Using the zero product property, set each factor equal to zero and solve.

<u>First factor:</u>

sec²Θ - 1 = 0

sec²Θ = 1

secΘ = 1, -1

remember that secΘ is \frac{1}{cos}

\frac{1}{cos} = 1 \frac{1}{cos} = -1

cross multiply to get:

cosΘ = 1 cosΘ = -1

use the unit circle (or a calculator) to find that Θ = 0 and π

<u>Second factor:</u>

1 - csc²Θ = 0

1 = csc²Θ

1, -1 = cscΘ

remember that cscΘ is \frac{1}{sin}

\frac{1}{sin} = 1 \frac{1}{sin} = -1

cross multiply to get:

sinΘ = 1 sinΘ = -1

use the unit circle (or a calculator) to find that Θ = \frac{\pi}{2} and \frac{3\pi}{2}

Answer: 0, π, \frac{\pi}{2} , \frac{3\pi}{2}

7 0
3 years ago
Solve for n (write answer only) 7/n = 4/7
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7 0
2 years ago
Read 2 more answers
9. The total length of the Trans-Canada Highway is 7870 km. About 6% of
nadezda [96]

Answer:

472.2 km

Step-by-step explanation:

5 0
2 years ago
What is the opposite of 3√ ?<br><br><br> 13√<br><br> −3√<br><br> −32 <br><br> 3²
Ivan

Answer:

D or B

Step-by-step explanation:

7 0
3 years ago
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