Step-by-step explanation:
comvert units into one unit
4ft 2in = 4 + 2/12 ft
3ft 4in = 3ft + 4/12ft
Know that the ratio of tan(x) = O / A
and set up proportions
solve for h
Given:
100m = distance
120s = time
Asked:
Speed = ?
Formula:
Speed = d/t
Solution:
Speed = 100m/120s
Speed = 0.83333333333
Speed = 0.83m/s
Final Answer:
The speed of the sailboat is 0.83m/s
Answer:
2(5)+5=15
Step-by-step explanation:
1. you have the equation 2b+c
2. then you add the numbers for c and b
3. so b=5 and c=5
4. once you add it into the problem then you get 2(5)+5 make sure you remember to times 2 x 5
5. then you do PEMDAS
6. you do multiply so 2x5 is 10
7. then do 10+5 and you get 15 as your answer.
X² <span>+ 11x + 7
because 7 is a prime number, this doesn't factor prettily. you'll want to use the quadratic formula; if you aren't familiar with it, i'd either research it or look it up in your textbook, because it's clunky and not easily understood in this format:
(-b </span>± √((b)² - 4ac))/(2a)
in your equation x² + 11x + 7 ... a = 1, b = 11, and c = 7. what you do is you take the coefficients of every term, then plug it into your equation:
(-11 ± √((11)² - 4(1)(7))/(2(1))
not pretty, i know. but, regardless, you can simplify it:
(-11 ± √((11)² - 4(1)(7))/(2(1))
(-11 ± √(121 - 28))/2
(-11 ± √93)/2
and you can't simplify it further. -11 isn't divisible by 2, and 93 doesn't have a perfect square that you can take out from beneath the radical. the ± plus/minus symbol indicates that you have 2 answers, so you can write them out separately:
(x - (-11 - √93)/2) and (x + (-11 - √93)/2)
they look confusing, but those are your two factors. they can be simplified just slightly by changing the signs in the middle due to the -11:
(x + (11 + √93)/2) (x - (11 - √93)/2)
and how these would read, just in case the formatting is too confusing for you: x plus the fraction 11 + root 93 divided by 2. the 11s and root 93s are your numerator, 2s are your denominator.
