Answer:
Step-by-step explanation:
area of sector = {Ф ( in degrees)/360}πr²
Ф = 60
π=3.14
r=10
area = (60/360) x 3.14 x 10²
= (1/6)x3.14 x100 = (1/6)x314= 314/6 = 52.33
Answer:
Step-by-step explanation:
let price of one pretzel=x
price of one soda=y
3x+4y=11.25 ...(1)
5x+2y=8.25 ...(2)
multiply by 2
10x+4y=16.50 ...(3)
(3)-(1) gives
7x=5.25
x=0.75
from (1)
3(0.75)+4y=11.25
2.25+4y=11.25
4y=11.25-2.25
4y=9
y=9/4=2.25
cost of one pretzel=$0.75
cost of one soda=$2.25
For it to be a linear equation, the same difference in x must produce the same difference in y always.
Choice A.
difference in x: 2 - 1 = 1
difference in y: -6 - (-2) = -4
difference in x: 3 - 2 = 1
difference in y: -2 - (-6) = 4
A difference of 1 in x gave a difference of -4 in y and another difference of 1 in x gave a difference of 4 in y.
This is not linear.
Choice B.
difference in x: 2 - 1 = 1
difference in y: -5 - (-2) = -3
difference in x: 3 - 2 = 1
difference in y: -9 - (-5) = -4
A difference of 1 in x gave a difference of -3 in y and another difference of 1 in x gave a difference of -4 in y.
This is not linear.
Choice C.
difference in x: 2 - 1 = 1
difference in y: -10 - (-2) = -8
difference in x: 3 - 2 = 1
difference in y: -18 - (-10) = -8
Do the other differences. All differences in y are -8 corresponding to a difference in x of -1.
This is linear.
Choice D.
The differences in y vary. It is not linear.
Answer: Choice C is linear.
∠MJK = 90 (It is a rectangle, so all its corners are right angles)
∠MJL = 90 - 27 = 63 (Complementary angles)
∠JLK = 180 - 90 = 27 = 63 (Sum of all angles in a triangle is 180)
∠KML = 27 (Isosceles triangle)
∠MNL = 180 - 27 - 27 - 126 (Sum of all angles in a triangle is 180)
The answer is C.
step one: add all 3 numbers. 25.
step 2: 200 divided by 25. 8.
step 3: 8 x all the other numbers ( separate ) 96, 64, 40.
step 4: add them. 200.
96 students want a beef meal, 64 chicken and 40 pasta.
