Answer:
it's an acute angle.
less than 90 degrees
Step-by-step explanation:
the right angle ( abd) is 90 degrees.
you have another number which is 75 degrees
subtract 90 degrees - 75 degrees and you answer is 15
this is system of equations
2x + 5y = -1 times this one by 5 to make the y's opposite
-10x -25y = 5
10x - 25y = -5 (this is it times by 5, now add them)
__________
0 + 0 = 0
now since everything cancels and both sides are equal it has infinite solutions beaus they are actually the same line.
Answer:
width is 220
length is 420
Step-by-step explanation:
420 is 200 more than 220.
when you add all the sides, 420+420+220+220 is 1280
Answer:
As per the question, we need to convert product of sum into sum of product,
Given:
(A' +B+C')(A'+C'+D)(B'+D'),
At first, we will solve to parenthesis,
= (A'+C'+BD) (B'+D')
As per the Rule, (A+B)(A+C) = A+BC, In our case if we assume X = A'+C', then,
(A' +B+C')(A'+C'+D) = (A'+C'+B)(A'+C'+D) = (A'+C'+BD)
Now,
= (A'+C'+BD) (B'+D') = A'B' + A'D' + C'B' +C'D' +BDB' +BDD"
As we know that AA' = 0, it mean
=A'B'+A'D'+C'B'+C'D'+D*0+B0
=A'B'+A'D'+C'B'+C'D' as B * 0 and D*0 = 0
Finally, minimum sum of product boolean expression is
A''B'+A'D'+C'B'+C'D'
=
Answer:
C. The divergence of F is StartFraction 1 Over StartAbsoluteValue Bold r EndAbsoluteValue squared EndFraction
∇•F = 1/|r|²
Step-by-step explanation:
The position vector r = (x, y, z)
r = xi+yj+zk
|r| = √x²+y²+z²
|r|² = x²+y²+z²
Given the radial field F = r/|r|²
Divergence of the radial field is expressed as:
∇•F = {δ/δx i+ δ/δy j + δ/δy k} • {(r/|r|²)
∇•F = {δ/δx i+ δ/δy j + δ/δy k} • {xi/|r|² + yj/|r|² + zk/|r|²}
∇•F = δ/δx(x/|r|²) + δ/δy(y/|r|²)+δ/δz(z/|r|²)
Check the attachment for the complete solution.