Distribute.
n(n+3)
Answer : n^2+3n
Answer:
- digits used once: 12
- repeated digits: 128
Step-by-step explanation:
In order for a number to be divisible by 4, its last two digits must be divisible by 4. This will be the case if either of these conditions holds:
- the ones digit is an even multiple of 2, and the tens digit is even
- the ones digit is an odd multiple of 2, and the tens digit is odd.
We must count the ways these conditions can be met with the given digits.
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Since we only have even numbers to work with, the ones digit must be an even multiple of 2: 4 or 8. (The tens digit cannot be odd.) The digits 4 and 8 comprise half of the available digits, so half of all possible numbers made from these digits will be divisible by 4.
<h3>digits used once</h3>
If the numbers must use each digit exactly once, there will be 4! = 24 of them. 24/2 = 12 of these 4-digit numbers will be divisible by 4.
<h3>repeated digits</h3>
Each of the four digits can have any of four values, so there will be 4^4 = 256 possible 4-digit numbers. Of these, 256/2 = 128 will be divisible by 4.
Answer:
Part 1) The value of x is 50°
Part 2) The measure of angle LOK is 114°
Option C
Step-by-step explanation:
we know that
if two angles are supplementary, then their sum is equal to 180 degrees
so
(x+64)°+66°=180°
solve for x
x+130°=180°
x=180°-130°=50°
Find the measure of angle LOK
∠LOK=(x+64)°
∠LOK=(50+64)°=114°
37 x 10 = 370
21 x 11 = 231
Mark worked 21 Hours, Jack worked 37 Hours.
1m = 100 cm
so
40 m = 4,000 cm
25 m = 2,500 cm
10 m = 1,000 cm
perimeter of big rectangle = 2(4,000 + 2000) = 12,000 cm
perimeter of small rectangle on the left: 2(2,500 + 800) = 6,600 cm
perimeter of small rectangle on the right: 2(1,000 + 800) = 3,600 cm
perimeter of circle = πd = 3.141593 x 200 = 628.32 cm
total area of the pitch and seating area :
= 12,000 + 6,600 + 3,600 + 628.32 = 22,828.32<span> cm
answer
</span>22,828.32 cm<span>
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