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JulijaS [17]
2 years ago
9

Please help! Vectors and angles

Mathematics
2 answers:
BaLLatris [955]2 years ago
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]2 years ago
4 0
You're right, It was A!
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PLEASE HELPP!!!!!<br>what is the slope of the line?<br><br>-3<br><br>1<br><br>0<br><br>undefined
marysya [2.9K]
Answer: -4

The formula for slope is rise/run. This means that between two points, you have to see the distance going up and down/ left and right.

Looking at points (0,-1) and (3,-1), you can see that the height difference is 4 units. This means that the rise is 4.

rise/run

4/run

Left and right, the difference is only one unit.

4/run

4/1

4

This graph is also negative, so let’s add that in.

-4

This is your answer! I know it wasn’t one of the options you provided, but I’m pretty sure that this is the answer.

Hope this helps comment below for more questions :)
4 0
3 years ago
A tank with a capacity of 1000 L is full of a mixture of water and chlorine with a concentration of 0.02 g of chlorine per liter
faltersainse [42]

At the start, the tank contains

(0.02 g/L) * (1000 L) = 20 g

of chlorine. Let <em>c</em> (<em>t</em> ) denote the amount of chlorine (in grams) in the tank at time <em>t </em>.

Pure water is pumped into the tank, so no chlorine is flowing into it, but is flowing out at a rate of

(<em>c</em> (<em>t</em> )/(1000 + (10 - 25)<em>t</em> ) g/L) * (25 L/s) = 5<em>c</em> (<em>t</em> ) /(200 - 3<em>t</em> ) g/s

In case it's unclear why this is the case:

The amount of liquid in the tank at the start is 1000 L. If water is pumped in at a rate of 10 L/s, then after <em>t</em> s there will be (1000 + 10<em>t</em> ) L of liquid in the tank. But we're also removing 25 L from the tank per second, so there is a net "gain" of 10 - 25 = -15 L of liquid each second. So the volume of liquid in the tank at time <em>t</em> is (1000 - 15<em>t </em>) L. Then the concentration of chlorine per unit volume is <em>c</em> (<em>t</em> ) divided by this volume.

So the amount of chlorine in the tank changes according to

\dfrac{\mathrm dc(t)}{\mathrm dt}=-\dfrac{5c(t)}{200-3t}

which is a linear equation. Move the non-derivative term to the left, then multiply both sides by the integrating factor 1/(200 - 5<em>t</em> )^(5/3), then integrate both sides to solve for <em>c</em> (<em>t</em> ):

\dfrac{\mathrm dc(t)}{\mathrm dt}+\dfrac{5c(t)}{200-3t}=0

\dfrac1{(200-3t)^{5/3}}\dfrac{\mathrm dc(t)}{\mathrm dt}+\dfrac{5c(t)}{(200-3t)^{8/3}}=0

\dfrac{\mathrm d}{\mathrm dt}\left[\dfrac{c(t)}{(200-3t)^{5/3}}\right]=0

\dfrac{c(t)}{(200-3t)^{5/3}}=C

c(t)=C(200-3t)^{5/3}

There are 20 g of chlorine at the start, so <em>c</em> (0) = 20. Use this to solve for <em>C</em> :

20=C(200)^{5/3}\implies C=\dfrac1{200\cdot5^{1/3}}

\implies\boxed{c(t)=\dfrac1{200}\sqrt[3]{\dfrac{(200-3t)^5}5}}

7 0
3 years ago
Which of the following polynomial functions is graphed below? OA. f(x) = (x - 2) ^ 2 * (x + 3) * (x - 1) O B. f(x) = (x + 2) ^ 2
laila [671]

The function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

From the graph, we have the following highlights

  • The graph crosses the x-axis at x = -1 and x = 3
  • The graph touches the x-axis at x = -2

The above highlights mean that:

  • The function has a multiplicity of 1 at x = -1 and x = 3
  • The function has a multiplicity of 2 at x = -2

So, the function of the polynomial is:

f(x) =a(x + 2)^2(x + 1)(x - 3)

Assume a = 1.

So, we have:

f(x) =1(x + 2)^2(x + 1)(x - 3)

Multiply

f(x) =(x + 2)^2(x + 1)(x - 3)

Hence, the function of the polynomial is (b) f(x) = (x + 2) ^ 2 * (x - 3) * (x + 1)

Read more about polynomial graphs at:

brainly.com/question/8878887

8 0
2 years ago
What is the answer in substiution y=2x-9 and y=3
ale4655 [162]

Answer:

x= -6

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
What percent of one dollar is a nickle​
-Dominant- [34]

Answer:

5

Step-by-step explanation:

.05 ×100=5 per cent

a nickel is 5 cent

8 0
3 years ago
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