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3 years ago

11

A train is moving at an average speed of 424/4 hm/h. How much distance will it cover in 16/5 hours?

1 answer:

gulaghasi [49]3 years ago

6 0

Answer:

339.2hm

Step-by-step explanation:

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Write an equation in slope intercept form for the line with slope -4 and why intercept -1

sladkih [1.3K]

Answer:

y = -4x -1

Step-by-step explanation:

The slope intercept form of an equation is

y = mx +b where m is the slope and b is the y intercept

y = -4x -1

8 0

3 years ago

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Zaheer, a boy of height 1.5m was watching the entire programme. Initially he observed the top of theflagpoleat an angle of eleva

torisob [31]

Answer:

$h = 15.163\ meters$

Step-by-step explanation:

(Assuming the correct angles are 30° and 45°)

We can use the tangent relation of the angle of elevation to find two equations, then we can use these equations to find the height of the pole.

Let's call the initial distance of the boy to the pole 'x'.

Then, with an angle of elevation of 30°, the opposite side to this angle is the height of the pole (let's call this 'h') minus the height of the boy, and the adjacent side to the angle is the distance x:

$tan(30) = (h - 1.5) / x$

Then, with an angle of elevation of 45°, the opposite side to this angle is still the height of the pole minus the height of the boy, and the adjacent side to the angle is the distance x minus 10:

$tan(45) = (h - 1.5) / (x - 10)$

So rewriting both equations using the tangents values, we have that:

$0.5774 = (h - 1.5) / x$

$1 = (h - 1.5) / (x - 10) \rightarrow (h - 1.5) = (x - 10)$

From the first equation, we have that:

$x = (h - 1.5) / 0.5774$

Using this value of x in the second equation, we have that:

$h - 1.5 = \frac{ (h - 1.5) }{0.5774} - 10$

$h + 8.5 = \frac{ (h - 1.5) }{0.5774}$

$0.5774h + 4.9079 = h - 1.5$

$0.4226h = 6.4079$

$h = 15.163\ meters$

5 0

3 years ago

Divide. Write your answer as a decimal.<br><br> 0.459 divided by 0.17 =

Rudik [331]

Answer:

0.459 divided by 0.17 equals 2.7

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Find the distance between two points: (5,3),(8,5)

kozerog [31]

Answer:

$\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}$

<em>OR </em><em>in </em><em>Decimal</em>,

$\boxed{\rm \: Distance=\underline{\underline{3.605}}}$

Step-by-step explanation:

<u>Given:</u>

Two points, that is (5,3) & (8,5)

<u>To Find:</u>

The Distance of the two given points

<u>Solution:</u>

To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :

$\boxed{ \rm \: Distance = \sqrt{(x_2 - x_1) {}^{2} + (y_2 - y_1) {}^{2} } }$

According to the Question,

$\rightarrow \: \rm \: x_2 = 8$

$\rightarrow \: \rm \: x_1 = 5$

$\rightarrow \: \rm \: y_2 = 5$

$\rightarrow \: \rm \: y_1 = 3$

Now Substitute the values on the formula of Distance and then Simplify:

$\rm \: Distance= \sqrt{(8 - 5 )^{2} + (5 - 3) {}^{2} }$

<em>[Follow PEMDAS rule while simplifying]</em>

$\rm \: Distance= \sqrt{3 {}^{2} + 2 {}^{2} }$

$\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}$

$\rm \: Distance= \sqrt{9 + 4}$

$\rm \: Distance= \sqrt{13}$

$\rm \: Distance= {3.605}$

Hence, the distance between the two given points would be $\sqrt{13}$ or $3.605$ .

$\rule{225pt}{2pt}$

I hope this helps!

Have a good day! :)

<em>[Desmos Graph solution is attached]</em>

5 0

2 years ago

Please factorise p^2-16p-80

TiliK225 [7]

Answer:

p^2 - 16p - 80

Vieta's formulas

because 4 * (-20) = -80 and 4 + (-20) = -16

p^2 - 16p - 80 = (p + 4)(p - 20)

3 0

3 years ago

Read 2 more answers