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yanalaym [24]
3 years ago
11

Let u = <-3, -5>, v = <-3, 1>. Find u + v. <-2, -8> <-8, -2> <0, -6> <-6, -4>

Mathematics
1 answer:
salantis [7]3 years ago
7 0

Answer:

<-6,-4>

Step-by-step explanation:

To find u+v, all you have to do is add the corresponding components of each.

That is for example on this problem, you would do

<-3,-5>+<-3,1>

=<-3+-3,-5+1>

=<-6,-4>.

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The range of a projectile fired at an angle θ with the horizontal and with an initial velocity of v 0 feet per second is r = 1 v
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Projectile motion is characterized by a motion that has two vector forces: the velocity along the x and y directions. As a result, the motion follows an arc-shaped direction. These two directions are actually independent of each other. 

There are already derived equations for this so it is already convenient. However, your given equation for range is incomplete. The correct equation is:

R = v₀²sin2θ/g

where
R = 140 ft
v₀ = 120 ft/s
g = 32.2 m/s²

Substituting the values,

sin 2θ = Rg/v₀²
sin 2θ = (140)(32.2)/(120²)
sin 2θ = 0.313
2θ = sin ⁻¹ (0.313)
2θ = 18.24°
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Answer:

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9,460,800÷1,861,440=

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4 years ago
If 5/9 of a tank can be filled in 2 minutes, how many minutes will it take to fill the whole tank ? A) 2.4 minutes B) 2.8 minute
Rina8888 [55]

Answer:

D.

Step-by-step explanation:

Set this up as a ratio with #parts of tank on top and #minutes on the bottom and then solve it as a proportion with x being the unknown number of minutes in the second ratio.

\frac{\frac{5}{9} }{2}=\frac{1}{x}

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