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2 years ago

14

A train travels 250 miles (m) in 5 hours (h) . Calculate the average speed the train was traveling

2 answers:

Lana71 [14]2 years ago

3 0

Answer50 mph

Step-by-step explanation:

katovenus [111]2 years ago

3 0

Answer:

50 miles per hour

Step-by-step explanation:

formula: s=d/t

250/5= 50 miles per hours

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A window has the shape of a rectangle with a semicircle at the top.

Sidana [21]

Answer:

8+pi/2

Step-by-step explanation:

The area of the rectangle on the bottom is 8, or 2*4. The area of the top is half (because it's a semi circle) of pi*r^2, or just 1/2 pi

7 0

2 years ago

Find the angle between the given vectors. Round your answer, in degrees, to two decimal places. u=⟨2,−6⟩u=⟨2,−6⟩, v=⟨4,−7⟩

NISA [10]

Answer:

$\theta = 108.29$

Step-by-step explanation:

Given

$u =$

$v =$

Required:

Calculate the angle between u and v

The angle $\theta$ is calculated as thus:

$cos\theta = \frac{u.v}{|u|.|v|}$

For a vector

$A =$

$A = a * b$

$cos\theta = \frac{u.v}{|u|.|v|}$ becomes

$cos\theta = \frac{.}{|u|.|v|}$

$cos\theta = \frac{2*6+4*-7}{|u|.|v|}$

$cos\theta = \frac{12-28}{|u|.|v|}$

$cos\theta = \frac{-16}{|u|.|v|}$

For a vector

$A =$

$|A| = \sqrt{a^2 + b^2}$

So;

$|u| = \sqrt{2^2 + 6^2}$

$|u| = \sqrt{4 + 36}$

$|u| = \sqrt{40}$

$|v| = \sqrt{4^2+(-7)^2}$

$|v| = \sqrt{16+49}$

$|v| = \sqrt{65}$

So:

$cos\theta = \frac{-16}{|u|.|v|}$

$cos\theta = \frac{-16}{\sqrt{40}*\sqrt{65}}$

$cos\theta = \frac{-16}{\sqrt{2600}}$

$cos\theta = \frac{-16}{\sqrt{100*26}}$

$cos\theta = \frac{-16}{10\sqrt{26}}$

$cos\theta = \frac{-8}{5\sqrt{26}}$

Take arccos of both sides

$\theta = cos^{-1}(\frac{-8}{5\sqrt{26}})$

$\theta = cos^{-1}(\frac{-8}{5 * 5.0990})$

$\theta = cos^{-1}(\frac{-8}{25.495})$

$\theta = cos^{-1}(-0.31378701706)$

$\theta = 108.288386087$

<em></em> $\theta = 108.29$ <em> (approximated)</em>

4 0

2 years ago

I need help with this, asap!!!

Leni [432]

The answer to this is d!

4 0

2 years ago

Read 2 more answers

The school chorus has 52 students which represents 26% of the seventh graders. How many students are in the seventh grade

barxatty [35]

Answer:

There are 200 students in the seventh grade.

Step-by-step explanation:

For equations like these, you have to use the is/of formula, which is:

Percent/100 = is/of.

Since you are trying to find how many students are in the seventh grade, this means that 52 <u><em>is</em></u> 26% of the total amount of students in the seventh grade. So, the formula would look like so:

26/100 = 52/n.

Next, you have to cross multiply, which means you would multiply 26 by n, and 52 by 100.

Then, you are going to have this left over from the cross multiplying:

5200 = 26n.

Divide 26 on both sides, leaving you with:

1n = 200, or n = 200.

8 0

3 years ago

Use the grouping method to factor the polynomial below completely.

xxMikexx [17]

The correct answer is C, if you use the distributive property and multiply all of them by each other you would get x^3+2x^2+3x+6.

Hope this helps :-)

7 0

2 years ago

Read 2 more answers