Answer:
a)ab and yz, ac and xy, bc and xz
b)yz = xy = xz 30 = 37.5 = 45 3 = 3 = 3
ab ac bc 40 50 60 4 4 4
c)they are similar because all sides break down to ¾
Step-by-step explanation: i did this on my test
Answer:
$1.68
Step-by-step explanation:
15.28 x .11=1.68
Answer: Choice D)
The angle between the two vectors is approximately 71.6 degrees
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Work Shown:
Each time I write the word "dot" I mean "dot product".
|u| = length of vector u
|u| = sqrt(u dot u)
|u| = sqrt(<8,4> dot <8,4>)
|u| = sqrt(8*8 + 4*4)
|u| = sqrt(64 + 16)
|u| = sqrt(80)
|u| = sqrt(16*5)
|u| = sqrt(16)*sqrt(5)
|u| = 4*sqrt(5)
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|v| = length of vector v
|v| = sqrt(v dot v)
|v| = sqrt(<9,-9> dot <9,-9>)
|v| = sqrt(9*9 + (-9)*(-9))
|v| = sqrt(81+81)
|v| = sqrt(2*81)
|v| = sqrt(2)*sqrt(81)
|v| = sqrt(2)*9
|v| = 9*sqrt(2)
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u dot v = <8,4> dot <9,-9>
u dot v = 8*9 + 4*(-9)
u dot v = 72-36
u dot v = 36
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cos(theta) = (u dot v)/(|u|*|v|)
cos(theta) = (36)/(4*sqrt(5)*9*sqrt(2))
cos(theta) = (36)/(36*sqrt(10))
cos(theta) = 1/(sqrt(10))
cos(theta) = sqrt(10)/10
theta = arccos(sqrt(10)/10)
theta = 71.56505
which rounds to 71.6 when rounding to one decimal place (nearest tenth)
That's why the approximate answer is roughly 71.6 degrees
Factored form: c(c-8) = 0
Then apparently, c = 0 or c = 8
Answer:
12.49 = r
13 = r to the nearest cm.
Step-by-step explanation:
The formula to calculate the volume is:
V = π*r^2*h
We know that V = 10291 cm^3 and Height (h) = 21cm
V = π*r^2*h
10291 = π*r^2*21
Divide both side by 21
10291/21 = (π*r^2*21)/21
490.05 = π*r^2
Now divide both side by π
490.05/π = (π*r^2)/π
155.99 = r^2
Now square root both side
√155.99 = √(r^2) Note: square and square root cancel eachother out.
12.49 = r or,
13 = r
