Answer:225
Step-by-step explanation:
Answer:
1. >; 2. >
Step-by-step explanation:
1.
⅜ (?) 0.295 Convert ⅜ to a decimal fraction
0.375 (?) 0.295
We can use a <em>number line</em> to decide which number is greater.
In Fig. 1 below, when we go from 0.295 to 0.375, we are moving to the <em>RIGHT</em>, so 0.375 is greater than 0.295.
0.375 > 0.295
2.
-0.770 (?) -4/5 Convert ⅘ to a decimal fraction
-0.770 (?) -0.800
In Fig. 2 below, when we go from -0.80 to -0.77, we are moving to the <em>RIGHT</em>, so -0.770 is greater than -0.800.
-0.770 > -0.800
First, tan(<em>θ</em>) = sin(<em>θ</em>) / cos(<em>θ</em>), so if cos(<em>θ</em>) = 3/5 > 0 and tan(<em>θ</em>) < 0, then it follows that sin(<em>θ</em>) < 0.
Recall the Pythagorean identity:
sin²(<em>θ</em>) + cos²(<em>θ</em>) = 1
Then
sin(<em>θ</em>) = -√(1 - cos²(<em>θ</em>)) = -4/5
and so
tan(<em>θ</em>) = (-4/5) / (3/5) = -4/3
The remaining trig ratios are just reciprocals of the ones found already:
sec(<em>θ</em>) = 1/cos(<em>θ</em>) = 5/3
csc(<em>θ</em>) = 1/sin(<em>θ</em>) = -5/4
cot(<em>θ</em>) = 1/tan(<em>θ</em>) = -3/4
Answer:
Function 1
Step-by-step explanation:
Answer:
C) translated 1 unit to the left and then rotated 180° counterclockwise about the origin
Step-by-step explanation:
by inspection, shape A has been translated 1 unit to the left and then rotated 180° counterclockwise about the origin
