Answer: (square root 6)/2
Step-by-step explanation:
1/2(2*square root 2)sin60
2x+2x+3x+3+3x+3=146
10x+6=146
10x=140
x=14
45 units is the longest side
Hope this helped!!!!!
Answer:
(b) (a) (d) (a) (c)
Step-by-step explanation:
(i) The probability of an even card is 1/2 because the number of even cards and odd cards are the same so there is a 50% of getting an even card. (b)
(ii) Since the card is replaced, there is still a card for all numbers between 1-20. There are 8 prime numbers and 20 cards so the probability of getting a prime number is 8/20 or 4/10 or 2/5. (a)
(iii) The card was not replaced so there are only 19 cards and there are only 5 numbers that are multiples of 3 and greater than 4. The probability must be 5/19. (d)
(iv) A sure event means that it will happen 100%. So P(A) = 1 since the number one represents 100%. (a)
(v) All cards have replaced and there is only one number that is a multiple of 3 and 5 which is 15. 1 card out of 20 is a desired outcome so 1/20 is the probability. (c)
So area is 168 sq ft
That means that length * width = 168 sq ft
Since length = 10 + 2 w
we get (10+2w)(w) = 168
Multiply it out and you get 2w^2 + 10w - 168 = 0
This is a quadratic equation. You can use the formula here, but i'll just tell you the answer
w = -12, or 7
since it can't equal -12 (ever heard of a barn with a length of -12?), you figure out the answer is 7.
If the width is 7, then the length is 10+2(7) = 24.
Have a nice day!
Answer:
3.4121 * 10 ^4
Step-by-step explanation:
34,121 is same as
3.4121 * 10 ^4
because the first number has to be between 0 and 10 and if you move the decimal 4 places to the right you got the initial number
