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yan [13]
3 years ago
15

A boat has a speed of 5 mph in calm water. It takes the boat 3 hours to travel updtream but only 2 hours to travel the same dist

ance downstream. Using the data in the table, what is the value of c, the speed current?
Mathematics
1 answer:
N76 [4]3 years ago
8 0
<span>
2(5+c)=3(5-c) 
solve for c 
10+2c=15-3c 
5c=5
c=1</span>
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The vector ab has a magnitude of 20 units and is parallel to the<br> vector 4i + 3j.<br> find ab.
stepladder [879]

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j. Hence, The vector AB is 16i + 12j.

<h3>How to find the vector?</h3>

If we have given a vector v of initial point A and terminal point B

v = ai + bj

then the components form as;

AB = xi + yj

Here, xi and yj are the components of the vector.

Given;

The vector ab has a magnitude of 20 units and is parallel to the

vector 4i + 3j.

magnitude

\sqrt{4^2 + 3^2} \\\\\sqrt{16 + 9} \\\\= 5

Unit vector in direction of resultant = (4i + 3j) / 5

Vector of magnitude 20 unit in direction of the resultant

= 20  x (4i + 3j) / 5

= 4 x (4i + 3j)

= 16i + 12j

Hence, The vector AB is 16i + 12j.

Learn more about vectors;

brainly.com/question/12500691

#SPJ1

7 0
2 years ago
Which of the following options have the same value as 96% of 25​
Maru [420]
96% of 25 is 24 hope this helps
8 0
4 years ago
Find the probability.
KATRIN_1 [288]

Using it's concept, it is found that there is a 0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

<h3>What is a probability?</h3>

A probability is given by the <u>number of desired outcomes divided by the number of total outcomes</u>.

In this problem, there are 15 bottles.

  • 5 are orange, hence the is a 5/15 = 1/3 probability that the coach gets orange, hence P(A) = 1/3.
  • After the coach, there will be 14 bottles remaining, of which 4 are orange, hence the probability that the friend gets orange is of P(B) = 4/14 = 2/7.
  • For you, there will be 13 bottles remaining, of which 5 will be of fruit-punch, hence the probability you get fruit-punch is of P(C) = 5/13.

The probability of the three outcomes occurring is given by:

p = \frac{1}{3} \times \frac{2}{7} \frac{5}{13} = \frac{10}{273} = 0.0366

0.0366 = 3.66% probability that your coach and your friend get orange and you get a fruit-punch.

More can be learned about probabilities at brainly.com/question/14398287

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6 0
2 years ago
I NEED THE ANSWER ITS DUE SOON !!! Points will be rewarded
DENIUS [597]

Answer:

Jaden added instead of subtracting 23 and 5

Step-by-step explanation:

3 0
3 years ago
What do u mean by Trigonometry ? <br><br><br>​
MrMuchimi

What do u mean by Trigonometry ?

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.

Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.

Trigonometry is known for its many identities. These trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.

Hope it helps!

Pa brainliest?

8 0
3 years ago
Read 2 more answers
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