The answer would be (14,7).
Answer:
The height of the parallelogram relates to the height of the circle because it is equal to the radius of the circle. The height goes from the circumference to the point of any section of the circle. I hope this helps.
Step-by-step explanation:
He starts saving $ in January to buy a gift in June. (which is 6 months, or 5 months not including June)
Each month he saves 2/3 of his allowance, which is $14.
[his allowance each month is $21, 2/3 of his allowance is $14]
(you multiply 21 by 2/3 = 42/3 = 14)
The gift he wants to buy is $110
x = the number of months
y = total cost
14x = y
14x = 110 [he saves $14 each month, he wants to have a total of $110 to buy a gift]
Plug in 6 for x in the equation
14(6) = 110
84 = 110 (He is $26 short, so saving either for 5 or 6 months will not get Ian $110)
Ian will not have enough money because he is $26 short for 6 months or $40 short for 5 months. (you can decide whether you want to go by 5 months or 6(including June), sorry for the confusing answer)
Answer:
12.48 meters^2
Step-by-step explanation:
This question is asking for the area of the carpet. For a triangle you would do the same equation as a square (length x width) divided by 2. This is 4.8 x 5.2 = 24.96/2 = 12.48
![y=mx+b](https://tex.z-dn.net/?f=y%3Dmx%2Bb)
m - a slope
b - a y-intercept
![b=-\dfrac{13}{3}](https://tex.z-dn.net/?f=b%3D-%5Cdfrac%7B13%7D%7B3%7D)
therefore
![y=mx-\dfrac{13}{3}](https://tex.z-dn.net/?f=y%3Dmx-%5Cdfrac%7B13%7D%7B3%7D)
Put the values of the coordinates of the point (-5; -1) to the equation
![x=-5;\ y=-1\\\\-1=m\cdot(-5)-\dfrac{13}{3}\ \ \ |\cdot3\\\\-3=-15m-13\ \ \ |+13\\\\10m=-15\ \ \ |:10\\\\m=\dfrac{-15}{10}\\\\m=-\dfrac{3}{2}](https://tex.z-dn.net/?f=x%3D-5%3B%5C%20y%3D-1%5C%5C%5C%5C-1%3Dm%5Ccdot%28-5%29-%5Cdfrac%7B13%7D%7B3%7D%5C%20%5C%20%5C%20%7C%5Ccdot3%5C%5C%5C%5C-3%3D-15m-13%5C%20%5C%20%5C%20%7C%2B13%5C%5C%5C%5C10m%3D-15%5C%20%5C%20%5C%20%7C%3A10%5C%5C%5C%5Cm%3D%5Cdfrac%7B-15%7D%7B10%7D%5C%5C%5C%5Cm%3D-%5Cdfrac%7B3%7D%7B2%7D)
Answer: