Answer:
1, 4 or 7
Step-by-step explanation:
The divisibility rule/shortcut for 3 is that the sum of its digits is divisible by 3. So, you currently have 29 (7+1+7+6+2+6+0), and you have to make that number divisible by 3.
adding 1 gets you 30, which we know is divisible by 3.
then, instead of trying every digit, we can note that
30 , 33 , 36 , 39 ....
are divisible by 3.
But the most we can add to the sum of 29 is 9 (because that is the highest digit possible)--so numbers above 38 are irrelevant
so, we want to find out if we can make 29 into 30, 33, or 36
adding 1 to 29 = 30
adding 4 to 29 = 33
adding 7 to 29 = 36
So, by making the first digit 1 , 4 , or 7, you make the number divisible by 3 (making the sentence true)
Since we know a circle has 360 degrees, the sector bounded by a 90 degree arc will be a quarter of circle (360/90 = 4). Then, to calculate the area of that sector, we can calculate the total area of the circle of radius 10, and then divide it by 4.
The area of a cirlce of radius r is:

Then, the area of the sector would be:


Answer:
The correct prove will be:

Step-by-step explanation:

Multiply and Divide by 
= 
⇒ Let
= Ф and 7Ф = 
= sin2Ф sin3Ф sin5Ф ÷ 2cosФ
= 1/2(2sin2Фsin5Ф)sin3Ф ÷ 2cosФ
= (cos3Ф - cos7Ф) sin3Ф ÷ 4cosФ
= 1/2(2cos3Ф sin3Ф) ÷ 4cosФ ∵cos7Ф = 0
= sin6Ф ÷ 8cosФ
= sin(7Ф - Ф) ÷ 8cosФ
= (sin7ФcosФ - cos7ФsinФ) ÷ 8cosФ ∵sin7Ф = 1
= cosФ ÷ 8cosФ
= 1/8
Hence, The correct prove will be:

Keywords: prove, sinФ, cosФ
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Based on the problem Carl will complete...
1/6 of the job per minute.
Fred will complete 1/8 of the job per minute.
Together they will complete... 1/6+1/8 of the job per minute.
That would be 7/24.
How long will that take?
1/(7/24)=24/7=3 3/7
It will take 3 and 3/7 minutes to finish washing the car.
Your best answer is C.
Round up 19 bags they ordered to 20, then multiply by 12 to get 240 apples they ordered.
Round down the 42 to 40. 40 x 8 = 320 apples sold.
200 to start + 240 ordered = 440 apples
440-320 = 120