1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
alisha [4.7K]
3 years ago
7

A river flows due south at 4 mi/h. A swimmer attempting to cross the river heads due east swimming at 2 mi/h relative to the wat

er. Find the true velocity of the swimmer as a vector. (Assume that the i vector points east, and the j vector points north.)
Mathematics
1 answer:
Inessa05 [86]3 years ago
5 0

Answer:

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

Step-by-step explanation:

velocity of river with respect to ground = 4 mi/h south

\overrightarrow{V_{R,G}}=4(\widehat{-j})

Velocity of swimmer with respect to river = 2 mi/h east

\overrightarrow{V_{S,R}}=2(\widehat{i})

According to the formula of relative velocity

\overrightarrow{V_{S,R}}=\overrightarrow{V_{S,G}}-\overrightarrow{V_{R,G}}

2\widehat{i}=\overrightarrow{V_{S,G}}+4\widehat{j}

Where, V(S,G) be the velocity of swimmer with respect to ground, it is true velocity of swimmer.  

\overrightarrow{V_{S,G}}=2\widehat{i}-4\widehat{j} mi/h

You might be interested in
Cos x = sin 34°<br> What is the value of x?<br> Enter your answer in the box.
vredina [299]

\bf \textit{Cofunction Identities} \\\\ sin\left(90^o-\theta\right)=cos(\theta) \qquad cos\left(90^o-\theta\right)=sin(\theta) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ cos(x)=\stackrel{90-56}{sin(\stackrel{\downarrow }{34^o})}\implies cos(\stackrel{\downarrow }{x})=sin(90^o-\stackrel{\downarrow }{56^o})\implies cos(56^o)

3 0
3 years ago
Read 2 more answers
HELP ASAP!! What is angle 1 called??
ololo11 [35]
Your right it’s an obtuse angle
7 0
3 years ago
GUYS CAN ANYONE HELP ME WITH 5 and 6 please
Karolina [17]

Answer:

first one is 120cm

second one is 7.5 miles

Step-by-step explanation:

one book is 3.75

maximum books are 25

so 25×3.75 = 93.75

second question he crosses 0.63 to go for work

and 0.63 to go home so in one day he crosses 1.26 miles

in 6 days is (1.26×6) = 7.56

3 0
3 years ago
The nutrition facts label on a container of dry roasted cashews indicates there are 161 calories in 28 grams. You eat 9 cashews
kati45 [8]
Divide calories by grams so 161 / 28= 5.75 now you know 1 gram has 5.75 calories so you multiply 5.75 * 12 to get 69. so 12 grams of <span>cashews = 69 calories </span><span />
7 0
3 years ago
Question 7: Solve this system<br><br> A.(15, 10)<br> B.(-15, 10)<br> C.(-10, 25)<br> D.(10, 15)
Alexandra [31]

Answer:

D. (10, 15)

Step-by-step explanation:

Hi there!

We are given the following system:

\frac{1}{2}x+y=20

x+4y=70

And we want to solve it (find the values of x and y).

Let's use substitution for this problem, where we will isolate one variable on one side, while the other side contains an expression with the other variable. Then, we use the expression to solve for the variable that the expression contains, then use the value of that variable to solve for the aforementioned isolated variable.

Subtract \frac{1}{2}x from both sides in the first equation

y=20-\frac{1}{2}x

Now substitute 20-\frac{1}{2}x as y in x+4y=70

x+4(20-\frac{1}{2}x)=70

Do the distributive property

x+80-2x=70

Combine like terms on the left

-x+80=70

Subtract 80 from both sides

-x=-10

Multiply both sides by -1

x=10

We found the value of x. Now let's use that value to find what y is

Since we know that y=20-\frac{1}{2}x and x=10, we can substitute 10 as the value of x to solve for y

In that case,

y=20-\frac{1}{2}(10)

Multiply

y=20-5

Subtract

y=15

The answer is x=10, y=15, or as a point, <u>(10, 15), aka D</u>

Hope this helps!

4 0
3 years ago
Other questions:
  • Find the product: 6,370 (86)
    12·1 answer
  • Finding whole number equal to fraction 8/1
    15·2 answers
  • 20+x over 8+12/2=1 what does x equal
    14·1 answer
  • 3. Use the figure to complete each statement.
    11·1 answer
  • The graph of f(x)=x2 is shown.
    12·1 answer
  • The amount of money in a bank account that is compounded yearly can be represented by the function A(y) = P(1 + r)y, where P is
    5·2 answers
  • One number is 9 more than twice another. If their difference is 22, what is the larger number?
    7·1 answer
  • It's for todayyyyyyyyyyyyyyyy
    6·1 answer
  • ILL MARK BRAINIEST IF YOU DO THIS CORRECTLY!!!
    13·2 answers
  • Triangle IJK is similar to triangle LMN. Find the measure of side LM. Round your answer to the nearest tenth if necessary.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!