M+g≤40
12m+14g=x where x is his total earnings for the week
12m+12g+2g=x, so x-2g=12(m+g) and x-2g≤480. Or x≤480+2g. His earnings cannot exceed 480+2g.
Area of rectangle=length * breadth
=6*11=66kmOR,6000m*11000m=66000000m
Yes, it is a rational number.
Answer:
Step-by-step explanation:
3 sinθ=3 cos 2θ
sin θ=cos 2θ
sinθ=1-2sin² θ
2sin²θ+sin θ-1=0
2sin²θ+2sinθ-sinθ-1=0
2sin θ(sin θ+1)-1(sin θ+1)=0
(sin θ+1)(2 sin θ-1)=0
sin θ=-1=-sin 90=sin (180+90)
θ=270
or sin θ=1/2=sin 30,sin (180-30)
θ=30,150
solution set is {30,150,270}
Answer:
D) In geometry, deductive rules can be used to prove conjectures.
Step-by-step explanation:
Geometry is the part of mathematics that deals with the relationships between lines, angles and surfaces. On the other hand, deductive rules refers to argument forms where true premises result in a conclusion that must be true and are called valid arguments. Deductive arguments that are not in a valid form are called invalid arguments. What is important here is that If I assume the premises are true, is it possible that the conclusion could be false? If the answer "yes" then the argument is invalid and valid if you answer "no".
So, we can use deductive rules to prove conjectures. A conjecture is a theory based on information that is not complete. Thus, we can use the question If I assume the premises are true, is it possible that the conclusion could be false? to get valid or invalid arguments.