Jogging is given as 20 hours.
Total hours is given as 50.
Jogging = 20/50 hours, which reduces to 2/5.
A full circle is 360 degrees.
Multiply 360 by 2/5:
360 x 2/5 = 720 / 5 = 144 degrees.
Answer:
JM = 7
Step-by-step explanation:
Triangles LMN and LJK are similar, so corresponding sides have teh same ratio:
LM/MN = LJ/JK
14/(JM+3) = (14 +JM)/15
210 = (JM +3)(JM +14) . . . . . multiply by 15(JM +3)
JM² +17JM -168 = 0 . . . . . . . subtract 210; put in standard form
(JM +24)(JM -7) = 0 . . . . . . factor
The values for JM that make this true are 7 and -24. The length must be positive, so ...
JM = 7
Answer:
74.22
Step-by-step explanation:
a pencil cup is like a cylinder
A=2πrh+2πr2=2·π·1.75·5+2·π·1.752≈74.22013
hope this helps
correct me if this is wrong
Answer:
The equation of line a is y = x
The equation of line b is y = x
Step-by-step explanation:
The equation of the proportional is y = m x, where
- m is the slope of the line (constant of proportionality)
The rule of the slope of a line is m = , where
- (x1, y1) and (x2, y2) are two points on the line
∵ Line a passes through points (0, 0) and (3, 3)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 3
→ Substitute them in the rule of the slope above
∵ m =
∴ m = 1
→ Substitute in the form of the equation above
∴ y = (1)x
∴ y = x
∴ The equation of line a is y = x
∵ Line b passes through points (0, 0) and (3, 2)
∴ x1 = 0 and y1 = 0
∴ x2 = 3 and y2 = 2
→ Substitute them in the rule of the slope above
∵ m =
∴ m =
→ Substitute in the form of the equation above
∴ y = () x
∴ y = x
∴ The equation of line b is y = x
4x=3(x-6)-2
distribute
4x = 3x-18 -2
combine like terms
4x =3x-20
subtract 3x from each side
x = -20