Answer:
a. True. Rational numbers are closed under the sum operation, therefore, the sum of two rational numbers is always a rational number.
b. True. irrational numbers are closed under the sum operation, therefore, the sum of two irrationals numbers is always a irrational number.
c. True. The square of a real number is always a number greater than zero, and the sum of two numbers greater than zero is greater than zero.
d. True. The real numbers are closed under the product operation, then if a and b are reals numbers, the product ab is also a real number.
Step-by-step explanation:
Answer:
V=378 inch³
Step-by-step explanation:
The package is in the shape of a cuboid. The volume of a cuboid is given by :
V = lbh
l=length, b=breadth and h=height
Area of base = 54 inch²
Height of box, h = 7 in
It means that, volume of the package is :
V = 54 × 7
V=378 inch³
So, the volume of the package is 378 inch³.
Answer:
step three is wrong
Step-by-step explanation:
just did it
In Graph x-axis represents number of visits and y-axis represents cost.
As graph comes up to be a linear one, so we can clearly say that cost is increasing linearly in multiples of 5.5 with increase in number of visits.
Example :
If museum is visited once then cost (y) = 5.5 x 1 = 5.5
If museum is visited twice then cost (y) = 5.5 x 2 = 11
If museum is visited thrice then cost (y) = 5.5 x 3 = 16.5
... cost (y) goes on in creasing when number of visits (x) increase with multiples of 5.5
Going from top to bottom
A) All sides add up to 180 so just subtract the other angles from 180 to get the last ----- 180-(53+78)= 49. x=49
B) The little square means 90 and since the lines are equal the other two angles are equal. so ------2x+90=180 bring 90 over 2x=90 then divide by the 2 and get x=35
C) For this one since they all have a x you can say all of them added together is 180 so ----- 3x-11+6x-10+x=180 you can add like terms and have 10x-21=180 add 21 over 10x=201 then divide 201 by 10 and get x=20.1
D) This will take two different equations first do as you did in A for the right triangle ---- 180-(75+67) and get 38 now the angle on the other triangle that it is across from is the same. 38 now do it once again 180-(28+38) and get x=114
Exterior angles add up to the inside angle across from it to make 180.
A) Find out what the inside angle is first --- 180-(73+62)=45 now x+45= 180 so just subtract 45 over and get x=135
B) Same as above but the square is 90. 180-(31+90)=59 now x+59=180 subtract 59 over and have x=121
C)Because the two lines are equal (Indicated by the ticks) the angles at the end are as well. so now you have 98+2x= 180 subtract 98 over get 2x=82 then divide by the 2 and get x=41
D) This one requires some thinking. We know that all three angles inside equal 180 and the one outside and the one inside equal 180 but we don't know what the angle inside by the outside angle is. (sorry if that's confusing) but since the outside one minus 180 is the inside one then we can put that in x+28+4x-3+7x-15-180 = 180 (I put everything in but for the missing angle I put the outside one minus 180) you can first combine terms and have 12x-170=180 add 170 over and have 12x=350 then divide by 12 and get about 29.1 but that's just the missing angle! Next you can put that with the outside one and get 7x-15+29.1=180 combine 7x+14.1=180 subtract 14 7x=166.1 then divide and get x=23.7
I hoped this helped - all the answers are at the bottom of the explanation and the only one i'm not sure of is the last D
