Answer:
x + 6
Step-by-step explanation:
Let the smaller number be x
let the larger number be y
According to Question-
x + y = 2y - 4
→ x - y = -4 ...1
if larger number is decreased by 1/3 we get equation -
x + y/3 = -20
→ 3x + y = -60 ...2
adding equation 1 and 2, we get:
4x = -64
→ x = -16
→ y = -60 - 3(-16)
→ y = -60 + 48
→ y = -12
I'm pretty sure your answer should be $4.50 for each drink. I multiplied the price of the popcorn (3.75 including the tax) by 4, since there are 4 people, which gave me 15. Then take 15 out of 33.00 which gave me 18. Divide 18 by 4 (number of people) and get 4.5 or 4 1/2 which equals out to $4.50 for each drink.
3.75 · 4= 15
33.00 - 15= 18
18 ÷ 4= 4.5 or 4 1/2
Hope this helps! =^-^=
Let ABC the vertices of the EQUILATERAL triangle inscribed in the circle centered in O & with R as radius (sketch it to better understand)
Join OA & OB so that to calculate the area of sector BOA
Mesure Angle C = 1/2 mes Arc AB, but C =60° , then Arc AB = 120°
So the central angle AOB = mes ARC OAB = 120°
The area of a sector = mes angle BOA x R² (mind you angle should be in radian) Angle BOA = 120°or 2π/3 (in radian) the Area Sect = (2π/3).R²
Answer:
Step-by-step explanation:
HL=√((-2-4)²+(8-0)²)=√(36+64)=√100=10=radius
so L lies on the circumference of circle.
or eq. of circle is (x-4)²+(y-0)²=10²
(x-4)²+y²=100
Put x=-2,y=8
(-2-4)²+8²=100
36+64=100
or 100=100
which is true.
Hence L lies on the circle.
