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gregori [183]
3 years ago
7

Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed

by a reflection along line m will cause a ________ rotation. Question 18 options: A) 56° B) 112° C) 180° D) 28°

Mathematics
1 answer:
Tasya [4]3 years ago
7 0

Answer:

  B)  112°

Step-by-step explanation:

After the double reflection the point is effectively rotated by an amount that is double the angle between the lines of reflection:

  2·56° = 112°

_____

In the attached, lines l and m are separated by 56°, as required by the problem statement.

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Answer:

The volume of the tank is 1235ft³

Step-by-step explanation:

To calculate the volume of a cylinder we have to use the following formula:

v = volume

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π = 3.14

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v = (π * r²) * h

we replace the unknowns with the values we know

v = (3.14 * (5.5ft)²) * 13ft

v = (3.14 * 30.25ft²) * 13ft

v = 94.985ft² * 13ft

v = 1234.805ft³

Round to the nearest whole number

v = 1234.805ft³ = v = 1235ft³

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3 years ago
Y = -12 when<br> x = -3 ,<br> find y when<br> x = -1 .
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1. Write an equation in point-slope form for the line through the given point with the given slope.
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Answer: y + 2 = \frac{-1}{2} ( x - 4 )

Step-by-step explanation:

The equation of a line in point - slope form is given as ;

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