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Furkat [3]
3 years ago
8

Help plz, asap!

Mathematics
2 answers:
klio [65]3 years ago
4 0
Triangle 2 is the correct answer.
Montano1993 [528]3 years ago
3 0

Answer:

1 I think but you said they all have the same area

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Suppose r(t) = (et cos t)i + (et sin t)j. Show that the angle between r and a never changes. What is the angle?
tatyana61 [14]

Answer:

Angle = Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

Step-by-step explanation:

Given vector r(t) = e^{t}cost i + e^{t}sint j

As we know that,

velocity vector = v = \frac{dr}{dt}

Implies that

velocity vector = (e^{t} cost - e^{t} sint)i + (e^{t} sint - e^{t}cost )j

As acceleration is velocity over time so:

acceleration vector = a = \frac{dv}{dt}

Implies that

vector a =

(e^{t}cost - e^{t}sint - e^{t}sint - e^{t}cost )i + ( e^{t}sint + e^{t}cost + e^{t}cost - e^{t}sint )j

vector a = (-2e^{t}sint) i + ( 2e^{t}cost)j

Now scalar product of position vector r and acceleration vector a:

r. a = . \\

r.a = -2e^{2t}sintcost + 2e^{2t}sintcost

r.a = 0

Now, for angle between position vector r and acceleration vector a is given by:

cosФ = \frac{r.a}{|r|.|a|} = \frac{0}{|r|.|a|} = 0

Ф = cos^{-1}(0) = 0

Hence, it is proved that angle between position vector r and acceleration vector a = 0 and is it never changes.

4 0
3 years ago
In meters what is the value of x? Pls i really dont know how to do this
Hitman42 [59]

Answer:

x = 75 m

Step-by-step explanation:

This is a problem of similar triangles solved using proportions.

In similar triangles, corresponding side lengths are proportional.

Here the small and large triangles are similar because the have all three angles congruent.

By proportions, identifying corresponding sides,

x/45 = 50/30

solve for x

x = 45*(50/30) = 75 m

6 0
4 years ago
The members of the PTA are ordering pizza for a meeting. They plan to order 2 cheese pizzas for every 3 pepperoni pizzas they or
strojnjashka [21]

Answer:

6 cheese pizzas

Step-by-step explanation:

3 / 9 = 3

3x2=6

3 0
3 years ago
A lies on a bearing of 040° from B.<br>Calculate the bearing of B from A.​
Nimfa-mama [501]

Answer:

220°

Step-by-step explanation:

The bearing of B from A is

180° + 40° = 220°

4 0
3 years ago
Which of the following is an arithmetic sequence? 2, 4, 8, 16, ... 12, 4, 4/3, 16/3 ... 1/2, -1/2, -3/2, -5/2 ... 1/2, -1/2, 1/2
andre [41]

Answer:

the third one, because it has a common difference

4 0
3 years ago
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