Number of months that Lance lived in Portugal: x
Number of months that Lance lived in Brazil: y
<span>Lance lived in Portugal and Brazil for a total of 14 months to learn Portuguese:
</span>(1) x+y=14
<span>He learned an average of 130 words per month when he lived in Portugal:
</span>Number of words that Lance learned in Portugal: 130x
<span>and an average of 150 new words per month when he lived in Brazil:
</span>Number of words that Lance learned in Brazil: 150y
<span>In total, he learned 1920 new words:
(2) 130x+150y=1920
</span><span>Write a system of equations to represent this situation:
(1) x+y=14
(2) 130x+150y=1920</span>
Draw or sketch out any problems like this, otherwise they appear abstract.
A circle’s area can be calculated by (pi d^2)/4 We have an area of 56 cm (^2?), so
pi d^2 = 56 x 4 (or 224) d^2 = 224/pi, d = √(224/pi)
A circle circumscribed around a square has a diameter equivalent to the length of the square’s diagonal, so the square’s diagonal is √(224/pi) (same as the circle diameter…)
A square’s side can be calculated, knowing its diagonal length, by use of Pythagoras’ theorem… The diagonal √(224/pi) is squared, divided by two, since the square’s sides are all equal, and the resulting number’s square root is calculated.
Squaring √(224/pi), we get 224/pi, and dividing by two, we get 112/pi, which is 35.6507 (cm^2), and the square root is 5.9708 cm, the side of the square.
I cannot emphasize enough that a drawing or sketch is an invaluable tool for these tasks, it saves having to retain a “picture” in your head. Note that a calculator was not required up until the last moment, dividing 112 by pi, and finding the square root of that answer. Picking up the calculator too early obliges you to transcribe numbers from the calculator to paper, and that can lead to issues. Try to enjoy maths, see it as a challenge not a chore. (and use correct units!)
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Related Questions (More Answers Below)
Question 11= B
Question 13= C
I don't know how to do question 12
Answer and Step-by-step explanation:
Distribute the 1p to the y and -6 and distribute the 2 to the 3y and 6.
10y - 50 + 6y + 12
Now, combine like terms.
16y - 38
#teamtrees #PAW (Plant and Water)
