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enyata [817]
3 years ago
6

Find the angle between the vectors (9,-1 ) and (4,2). Carry your intermediate computations to at

Mathematics
1 answer:
nasty-shy [4]3 years ago
7 0

Answer:

33°

Step-by-step explanation:

(9 , -1), (4 , 2)

cos α = (x₁ * x₂ + y₁ * y₂) / (√(x₁² + y₁²) * √(x₂² + y₂²))

x₁ = 9,  

x₂ = 4,  

y₁ = -1,  

y₂ = 2

cos α = (9*4 + -1*2) / (√(81+1) * √(16+4))

         = 34/ (√82 * √20)

         ≈ 0.8396

α = 32.91° ≈ 33°

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Dahasolnce [82]
We know that
<span>on an analog clock
60 minutes is equal to a circumference of 360</span>°
so
360/60-----> 6°
that means 
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16 minutes----------> X
x=16*6-----> 96°

the length of a circumference=2*pi*r
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the length of a circumference=2*pi*8-----> 50.24 in

if 360° (full circle) has a length of----------------> 50.24 in
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13.40 in

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3 years ago
Write the equation for a parabola with a focus at (0,-5) and a directrix at y=-3
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7 0
4 years ago
In a certain town, 22% of voters favor a given ballot measure. For groups of 21 voters, find the variance for the number who fav
raketka [301]

c. 4.6

       

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Calculating the variance requires finding the product of 21 and 22%. To make this easier we convert 22% into it's decimal form and construct the equation. To back check this answer we can use 10% of 21 voters which equals 2.1% then double that amount to reach 4.2%, knowing that we now have a close approximation of the variance we can eliminate answers a, b, and d, leaving c as the only logical choice.

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4 years ago
Why is it that sin 5π
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4 years ago
What is the mass of 2.5 moles of carbon dioxide?
GarryVolchara [31]

Answer:

110 grams

Step-by-step explanation:

CO2 molecule is made up of Carbon (atomic mass =12) and oxygen (atomic mass=16).

So first finding the mass of 1 molecule of CO2 which is equals to

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= 12+(16*2)= 12+32= 44 a.m.u.

Now 1 molecule of CO2 has mass 44 amu so mass of 1 mole CO2 will be 44 grams.( 1 a.m.u.=1.6729*10^-33 grams. 1 mole = 6.022*10^23, so 44 a.m.u.=73.6076*10^-33 grams approx. For one mole CO2, 73.6076*10^-33*6.022*10^23 which is approximately equals to 44 grams. )

1 mole CO2= 44grams, so 2.5 moles = 44*2.5= 110 grams

So our answer is 110 grams.

lowkey hope this helped you, good luck whatever you need it for Imaooo

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3 years ago
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