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1 answer:
Answer:
EM = 73 m
Step-by-step explanation:
Using the right triangle MOE
with legs MO = 48. EO = 55 and hypotenuse EM
Applying Pythagoras' identity
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
EM² = 48² + 55² = 2304 + 3025 = 5329 ( take the square root of both sides )
EM = = 73
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Answer:
y = -3x +6
Step-by-step explanation:
The perpendicular line will have the coefficients of x and y swapped (and one of them negated), and will have a constant appropriate to the point the line needs to go through.
The equation will look like ...
x -3y = 3 . . . . . . . . . . . . . given line
3x +y = constant . . . . . . perpendicular line
where "constant" can be found by substituting for x and y.
3x +y = 3(5) +(-9)
3x +y = 6 . . . . equation in standard form
To put this in slope-intercept form subtract 3x:
y = -3x +6
Answer:
629.92
Step-by-step explanation:
The minimum volume of the can that can hold 4 tennis balls must have at least the same volume as 4 tennis balls.
The volume of one tennis ball, V =
where r = radius of the tennis ball
The diameter of a ball = 6.7 cm
Its radius will be = 6.7 / 2 = 3.35 cm
Volume, V, will be:
V = 157.48
Hence, the volume of 4 balls will be:
4 * V = 4 * 157.48 = 629.92
The minimum volume that the cylindrical can has to have is 629.92 .