Answer:
the probability of selecting sticks with boys name is 46% and a girls probablility for her sticks is 54%
Step-by-step explanation:
For part A: the constant is 83.50. the variable would be c and w. and the coefficient would be 10c or 15w.
part B: so 10(4)+15(15)+83.50 -----> 10x4= 40------> 40+15(15)+83.50---->15x15=225
40+225+83.50=348.50
part C The coefficient would change because a constant is always constant, a variable is just a letter standing in for a number which would make the coefficient the one that changes for $10 to $20.
hope that help!
Answer: B
Function 2's rate of change is 3/2, and Fuction 1's rate of change is 2/5
3/2 is bigger than 2/5
Proof:
3/2 (3 ÷ 2) = 1.5
2/5 (2 ÷ 5)= 0.4
Answer:
D=6
Step-by-step explanation:
A quick and easy way to find the distance between these points is to use the distance formula: d= √(x2-x1)^2 + (y2-y1)^2, where (x1,x2) and (y1,y2) are the coordinates of the first and second point. (It doesn't matter which point is (x1,x2) or (y1,y2), just stay consistent)
Plug in the coordinates:
d= √(0-(-6)^2+ (8-8)^2
Simplfy
d=√(6)^2+(0)^2
d=√36
d= 6
There is a theorem that says that this angle (formed by thre points on the circumference) is half such arc called EF.
We can deduct it as well.
1) Call O the center of the circle. The central angle (EOF) = arc EF = 151°
2) Draw a chord from F to D and other chord from D to E.
You have constructed two triangles, FOD and DOE.
3) Triangle FOD has two sides equals (because both are the radius of the circcle). Then, this is an isosceles triangle and it has two angles of the same measure. Call this measure a.
4) Triangle DOE is also isosceles, for the same reason explained in the poiint 3. Call the measure of its equal angles b.
5) The sum of the angles of the two triangles is 180° + 180 ° = 360°.
This is a + a + b + b + (360 - central angle) = 360°
=> 2a + 2b = central angle
=> 2(a+b) = cantral angle
=> (a+b) = central angle / 2 = 151° / 2 =71.5°
(a+b) is the angle that you are looking for.
Then the answer is 71.5°