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2 years ago

What is the constant of proportionality y=4.75x

Mathematics

1 answer:

Temka [501]2 years ago

4 0

Answer:

4.75

Step-by-step explanation:

The equation of y proportional to x is

y = kx ← k is the constant of proportionality

y = 4.75x ← is in this form

with k = 4.75

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1 year ago

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Approximately what is the length of the rope for the kite sail, in order to pull the ship at an angle of 45° and be at a vertica

Lera25 [3.4K]

Answer:

212m

Step-by-step explanation:

The set up will be equivalent to a right angled triangle where the height is the opposite side facing the 45° angle directly. The length of the rope will be the slant side which is the hypotenuse.

Using the SOH, CAH, TOA trigonometry identity to solve for the length of the rope;

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1 year ago

it takes max 1.8 hours to walk home from work at a rate of 3.5km/h. how long would it take max to cover the same distance walkin

NikAS [45]

Time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

<h3>Solution:</h3>

Given it takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

We have to find time taken by Max to cover the same distance walking at 4.2 km/h

The relation between speed and time is given as:

$speed = \frac{distance}{time}$

CASE 1:

It takes Max 1.8 hours to walk home from work at a rate of 3.5km/h

Let us first find the distance covered

Time taken = 1.8 hours and speed = 3.5 km/hr

$3.5 = \frac{distance}{1.8}\\\\distance = 3.5 \times 1.8 = 6.3$

Hence distance covered is 6.3 km

Now we have to find the time taken to cover same 6.3 km walking at 4.2 km\hr

$4.2 = \frac{6.3}{time taken}\\\\time taken = \frac{6.3}{4.2} = 1.5$

So time taken by Max to cover the same distance walking at 4.2 km/h is 1.5 hours

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1 year ago