Answer:
Half a pound.
Step-by-step explanation:
To find the number of pounds he ate, multiply the fractions.
He ate 1/2 a pound.
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
We are asked to simplify the ratio of 34 laptops out of 116 computers into the simplest form. The greatest common factor is 2. hence, we divide each number by 2. 34 divided by 2 is equal to 17 while 116 divided by to is equal to 58. Hence the answer to this problem is b. 17 <span>laptops : 58 computers. </span>
Answer:
105
Step-by-step explanation:
l is parallel m so angle 3+angle 6=180
(1. -2) (2. 0) (3. 6) (4. 3)
