Hope this isn't too confusing
All of the numbers have different shortcuts.
1. Yes. Divisible by 4: if last two digits are divisible by 4 then the whole number is yes)
2. No. Divisible by 6: it must be even and when you add them up, (44) it must be divisible by 3 (no, 44 is not divisible by 3)
3. Divisible by 8: ( last 3 numbers are divisible by 8 (312) = 39 ( yes it is)
4 Yes. Divisible by 11: ( sum of digits at odd places and sum of digits at even spaces,is either 0 or divisible by 11) yes, 278949. (2+8+9) + (7+9+9)= 19 + 25 = 44 and 44 is divisible by 11)
5. No. Divisible by 12 (divisible by 3 and 4, sum of digits is divisible by 3 ; and last 2 digits divisible by 4: 87654395 : 52/3= 18 (yes) 95/4(no) this number not divisible by 12
6. No. Divisible by 15: divisible by 3 and 5 ..87654385 = 46/3 = 15..(No) divisible by 5 yes. The number is not divisible by 15
For this case we have the following equation:
w = || F || • || PQ || costheta
Where,
|| F ||: force vector module
|| PQ ||: distance module
costheta: cosine of the angle between the force vector and the distance vector.
Substituting values:
w = (60) * (100) * (cos (45))
w = 4242.640687 lb.ft
Answer:
The work done pushing the lawn mower is:
w = 4242.640687 lb.ft
The special is cheaper than Bella's price. Then the correct option is B.
<h3>What is the linear system?</h3>
A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.
Suppose another company offers a special banquet price of $4,000 for 150 people.
Then the special is cheaper than Bella's price.
Then the correct option is B.
More about the linear system link is given below.
brainly.com/question/20379472
#SPJ1
Answer:
this should be 132 units i hope this helps! :)
Step-by-step explanation:
so these figures are similar
we are given 3 side measurements on one, and 3 on the other
we know that side BA is 10 units, and that SR which is the same side, is 14 units
we can conclude that they added 4 units to this side
so with the other side lengths that we are given we can figure out what the length of the perimeter of RSTUV is
10 + 4 = 14
15 + 4 = 19
28 - 4 = 24
42 - 4 = 38
25 + 4 = 29
42 TU
28 UV
19 VR
14 SR
29 ST
add all the side together to get 132 units
Answer:
Below in bold.
Step-by-step explanation:
Area = 30 + 12x and area is also = to width * length so we need to look for factors of 30 + 12x.
30 + 12x = 6(5 + 2x)
So 6 and 5 + 2x is one possible answer.
3 and 10 + 4x is another.
12 and 2.5 + x is another.
If we multiply these pairs together we see that the result is
30 + 12x in each case.
