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:
B: 5/13
Step-by-step explanation:
pythagoras theorem: a^2 + b^2 (sides) = c^2 (hypotenuse)
a^2 + 12^2 = 13^2
a^2 + 144 = 169
a^2 = 25
a = 5
sin = opp/hyp
sin 5/13
Hope this helps
Answer:
cubic meter of clay will be used to create all the pyramids
Step-by-step explanation:
The remaining part of the question is given in the attached file
Solution
The total clay used is equal to the sum of volumes of two triangular and three rectangular pyramids.
For Rectangular Pyramid,
Volume of three rectangular pyramids

Substituting the given values in above equation, we get -
cubic centimeter
For triangular Pyramid,
Volume of two triangular pyramids

cubic centimeter
Total clay used = Volume of 3 rectangular pyramid + volume of 2 triangular pyramid
Cubic centimeter
Hello!
Answer:

The answer should have positive sign.
Step-by-step explanation:
First, you subtract by 5 from both sides of an equation.

Then, simplify and subtract by the numbers from left to right.


You divide by 6 from both sides of an equation.

Finally, divide numbers from left to right.

, which is our correct answer.
Hope this helps you!
Have a nice day! :)
-Charlie
Thank you so much!
P is at 0,-1
Q is at 2,-1
R is at 2, -2
S is at 0, -2