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3 years ago

Long division with 489

Mathematics

2 answers:

scoray [572]3 years ago

8 0

9.4 is the answer to this problem

RUDIKE [14]3 years ago

3 0

Answer:

9.4

Step-by-step explanation:

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On a cold day, hailstones fall with a velocity of 2i − 6k m s−1 . If a cyclist travels through the hail at 10i m s−1 , what is t

Paraphin [41]

Answer:

The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

Step-by-step explanation:

Given : On a cold day, hailstones fall with a velocity of $2\hat{i}-6\hat{k}\text{ m/s}$ . If a cyclist travels through the hail at $10\hat{i} \text{ m/s}$ .

To find : What is the velocity of the hail relative to the cyclist and At what angle are the hailstones falling relative to the cyclist?

Solution :

The velocity of the hailstone falls is $V_h=2\hat{i}-6\hat{k}\text{ m/s}$

The velocity of the cyclist travels through the hail is $V_c=10\hat{i} \text{ m/s}$

The velocity of the hail relative to the cyclist is given by,

$V_{hc}=V_h-V_c$

Substitute the value in the formula,

$V_{hc}=2\hat{i}-6\hat{k}-10\hat{i}$

$V_{hc}=-8\hat{i}-6\hat{k}$

So, The velocity of the hail relative to the cyclist is $V_{hc}=-8\hat{i}-6\hat{k}$

Now, The angle of hails falling relative to the cyclist is given by

$\theta = \tan^{-1}(\frac{-6}{-8})$

$\theta = \tan^{-1}(\frac{3}{4})$

$\theta = 36.86^\circ$

So, The angle at which hailstones falling relative to the cyclist is $\theta = 36.86^\circ$

4 0

4 years ago

Which expression is equivalent to 2(5 − 3x)? A) 10 − 5x B) 10 − 6x C) 7 − 5x D) 7 − 6x

krok68 [10]

The answer is b 10-6x

6 0

3 years ago

the gross monthly salary of a manager is $5875. Calculate her net annual salary after deductions of $976 were made monthly

Sergio039 [100]

Answer:

Her net annual salary is of $58,788

Step-by-step explanation:

The gross monthly salary is the salary earned before deductions are applied.

The net monthly salary is the salary after deductions are applied.

In this problem:

Gross monthly salary of a manager is $5875.

Deductions of $976

So net monthly salary = 5875 - 976 = $4899

Net yearly salary:

An year has 12 months. So

12*$4899 = $58,788

Her net annual salary is of $58,788

7 0

3 years ago

Each side of a rectangle must be perpendicular to two of its other sides. Is it possible for a rectangle to be formed by the int

tamaranim1 [39]

It’s A I had the same question and got it correct

6 0

3 years ago

Read 2 more answers

Which expression represents the distance between the point (a,0) and (0,5)

ycow [4]

That would be
sqrt ( (a-0)^2 + (0-5)^2)

= sqrt (a^2 + 25)

5 0

3 years ago