D, because it is the only one that contains multiples. All others contain factors.
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.5 as a decimal and 50% as a percent
Answer:
D. Pythagorean
Step-by-step explanation:
Given the identity
cos²x - sin²x = 2 cos²x - 1.
To show that the identity is true, we need to show that the left hand side is equal to right hand side or vice versa.
Starting from the left hand side
cos²x - sin²x ... 1
According to Pythagoras theorem, we know that x²+y² = r² in a right angled triangle. Coverting this to polar form, we have:
x = rcostheta
y = rsintheta
Substituting into the Pythagoras firnuka we have
(rcostheta)²+(rsintheta)² = r²
r²cos²theta+r²sin²theta = r²
r²(cos²theta+sin²theta) = r²
(cos²theta+sin²theta) = 1
sin²theta = 1 - cos²theta
sin²x = 1-cos²x ... 2
Substituting equation 2 into 1 we have;
= cos²x-(1-cos²x)
= cos²x-1+cos²x
= 2cos²x-1 (RHS)
This shows that cos²x -sin²x = 2cos²x-1 with the aid of PYTHAGORAS THEOREM
Answer:
6 packages of forks
Step-by-step explanation:
If Jasmine wants to have an equal quantity of forks and spoons, we need to list the multiples of each quantity and determine the least common multiple (LCM).
Forks: 10, 20, 30, 40, 50, 60, 70, 80, 90
Spoons: 12, 24, 36, 48, 60, 72, 84, 96
The LCM in this example is 60. In order to have exactly 60 forks and 60 spoons, Jasmine will need to buy 6 packages of forks [60 ÷ 10 = 6] and 5 packages of spoons [60 ÷ 12 = 5].
<span>When a plane intersects both nappes of a double-napped cone but does not go through the vertex of the cone, the conic section that is formed by the intersection is a curve known as hyperbola.
The standard form of the equation of the hyperbola is shown below:
[(x-h)^2/a^2]-[(y-k)^2/b^2]=1 (Horizontal axis)
</span>[(y-k)^2/a^2]-[(x-h)^2/b^2]=1 (Vertical axis)<span>
Therefore, the answer is: Hyperbola.
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