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3 years ago

ABC has been translated 5 units to the right, as shown in the diagram. What is the length of A1B1?

Mathematics

2 answers:

kolezko [41]3 years ago

7 0

Answer:

Step-by-step explanation:

If the triangle is translated ANY amount of units ANYWHERE, the length of each segment AND the angles will ALL be the same.

Why?

Because if you translate something, you are only moving it somewhere else. You aren't stretching the shape or making any modifications. You are simply moving it, and that will only change the coordinates the points will be at.

fgiga [73]3 years ago

7 0

Answer:

Step-by-step explanation:

During a Translation the lenghts of the sides don't change

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3 years ago

Angle (theta) is in standard position. If (8,-15) is on the terminal ray of angle (theta), find the values of the trigonometric

mariarad [96]

Answer:

$\sin \theta =\frac{-15}{17}\\cos \theta =\frac{8}{17}\\\tan \theta =\frac{-15}{8}\\\csc \theta =\frac{-17}{15}\\\sec \theta =\frac{17}{8}\\\cot \theta =\frac{-8}{15}$

Step-by-step explanation:

Given: (8,-15) is on the terminal ray of angle

To find: All the trigonometric ratios

Solution:

Trigonometry is a branch of mathematics that explain relationship between the sides and angles of triangles.

If (x, y) lies on the terminal side of θ then $r=\sqrt{x^2+y^2}$

$r=\sqrt{(8)^2+(-15)^2}=\sqrt{64+225}=\sqrt{289}=17$ units

$\sin \theta =\frac{y}{r}=\frac{-15}{17}\\cos \theta =\frac{x}{r}=\frac{8}{17}\\\tan \theta =\frac{y}{x}=\frac{-15}{8}\\\csc \theta =\frac{1}{\sin \theta }=\frac{-17}{15}\\\sec \theta =\frac{1}{cos \theta}=\frac{17}{8}\\\cot \theta =\frac{1}{\tan \theta}=\frac{-8}{15}$

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