All categories

3 years ago

Please help! Vectors and angles

2 answers:

6 0

The velocity of the ship = 22 ∠157° = (22 cos 157°) i+ (22 sin 157°) j

The velocity of current = 5 ∠213° = (5 cos 213°) i+ (5 sin 213°) j

So, the resultant velocity = 22 ∠157° + 5 ∠213°
= (22 cos 157°) i+ (22 sin 157°) j + (5 cos 213°) i+ (5 sin 213°) j
= (22 cos 157° + 5 cos 213°) i + (22 sin 157° + 5 sin 213°) j
= -24.444 i + 5.873 j
= 25.14 ∠166.5°

The correct answer is option (1)
<span>1) 25 knots at 166.5 degree</span>

Inessa [10]3 years ago

4 0

You're right, It was A!

You might be interested in

Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

blsea [12.9K]

Answer:

a) Percentage of students scored below 300 is 1.79%.

b) Score puts someone in the 90th percentile is 638.

Step-by-step explanation:

Given : Suppose a student's score on a standardize test to be a continuous random variable whose distribution follows the Normal curve.

(a) If the average test score is 510 with a standard deviation of 100 points.

To find : What percentage of students scored below 300 ?

Solution :

Mean $\mu=510$ ,

Standard deviation $\sigma=100$

Sample mean $x=300$

Percentage of students scored below 300 is given by,

$P(Z\leq \frac{x-\mu}{\sigma})\times 100$

$=P(Z\leq \frac{300-510}{100})\times 100$

$=P(Z\leq \frac{-210}{100})\times 100$

$=P(Z\leq-2.1)\times 100$

$=0.0179\times 100$

$=1.79\%$

Percentage of students scored below 300 is 1.79%.

(b) What score puts someone in the 90th percentile?

90th percentile is such that,

$P(x\leq t)=0.90$

Now, $P(\frac{x-\mu}{\sigma} < \frac{t-\mu}{\sigma})=0.90$

$P(Z< \frac{t-\mu}{\sigma})=0.90$

$\frac{t-\mu}{\sigma}=1.28$

$\frac{t-510}{100}=1.28$

$t-510=128$

$t=128+510$

$t=638$

Score puts someone in the 90th percentile is 638.

5 0

3 years ago

How do I solve this arithmetic sequence and find the next four terms?

ololo11 [35]

Answer:

252

Step-by-step explanation:

t50 = t1 + (n - 1)(d)

= 7 + (50 - 1) (5)

= 7 + (49)(5)

= 7 + 245

= 252

6 0

3 years ago

Read 2 more answers

Value of x<br><br>30x=30-30

Vladimir79 [104]

Answer:

Step-by-step explanation:

$30x = 30 - 30$

$= > 30x = 0$

$= > x = \frac{0}{30}$

$= > x = 0$

5 0

3 years ago

Read 2 more answers

Simplify y+1<3 please need help

Zepler [3.9K]

STEP-BY-STEP SOLUTION:

Let's first establish the inequality which we need to solve as displayed below:

y + 1 < 3

To begin with, we need to make ( y ) the subject by keeping it on the left-hand side of the inequality and placing all other numbers on the right-hand side of the equality as displayed below:

y + 1 < 3

y < 3 - 1

Then, we simply simplify / solve as displayed below:

y < 3 - 1

y < 2

ANSWER:

y < 2

4 0

3 years ago

Pachacha [2.7K]

Answer:

New area: 12ft^2

Step-by-step explanation:

1/3 of 9 is 3

1/3 of 12 is 4

Area = l x w

so 3 x 4 = 12

4 0

3 years ago