All categories

2 years ago

9. If a train travels 270 mi. in 9 hr., what is its average speed?

Mathematics

2 answers:

Aleks [24]2 years ago

5 0

Answer:

30 miles per hour

Step-by-step explanation:

You divide the distance by time to receive the average speed.

270 / 9 = 30

RoseWind [281]2 years ago

5 0

Answer:

The train travels 30 miles in 1 hour

Step-by-step explanation:

First, you take the miles and divided it by the hours. That will give you the average speed/MPH (miles per hour)

You might be interested in

10 3/4 -7 1/4 subtracting mixed numbers???

kirza4 [7]

Oh yeah the answer is 3 2/4 or 3 1/2 if you want to simplify.

4 0

3 years ago

zubka84 [21]

Answer:

See Explanation Below

Step-by-step explanation:

Given

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx.cos x.$

Required

Prove

To start with; we open the bracket on the left hand side

$(sin x - cos x)^2 = (sin x - cos x)(sin x - cos x)$

$(sin x - cos x)^2 = (sin x )(sin x - cos x)- (cos x)(sin x - cos x)$

$(sin x - cos x)^2 = sin^2 x -sinx cos x - sin xcos x + cos^2 x$

$(sin x - cos x)^2 = sin^2 x -2sinx cos x + cos^2 x$

Reorder

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

From trigonometry;

$sin^2x + cos^2x = 1$

So;

$(sin x - cos x)^2 = sin^2 x + cos^2 x - 2sinx cos x$

becomes

$(sin x - cos x)^2 = 1 - 2sinx cos x$

Also from trigonometry;

$sec^2x - tan^2x = 1$

So,

$(sin x - cos x)^2 = 1 - 2sinx cos x$

becomes

$(sin x - cos x)^2 = sec^2x - tan^2x - 2sinx cos x$

Proved

3 0

3 years ago

Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d

zhuklara [117]

Step 1:
Set Variables (We will use x & y)

x = years
y = total orangutan population

Step 2:
Set up Equations

784 - 25x = y
817 - 36x = y

Step 3:
Set equations equal to each other & solve

784 - 25x = 817 - 36x
784 = 817 - 11x
-33 = -11x
3 years = x

5 0

3 years ago

Read 2 more answers

In right triangle PQR, tanP =sqrt 3/2. Find the length of the hypotenuse of triangle PQR.

Aleksandr [31]

$\sqrt{ \sqrt{3}^2+2^2} = \sqrt{3+4} = \sqrt{7}$