Answer:
a) x=
10°
50°
130°
10°
50°
130°
170°
250°
290°
b) x=
90°
210°
330°
Step-by-step explanation:
2 sin (3x) = 1
a) look at the graph, y=1 when x is near:
10°, 50°, 130°, etc
in the equation: 2 sin (3x) = 1 ⇒ sin (3x) = 0.5 ⇒ 3x = 30° (and others) ⇒ x = 10° (and others). So the values given in solution (10°, 50°, 130°, etc) are true
b) is evident
The triangles given below in the diagram are similar by; D: The SSS Similarity theorem.
<h3>How to interpret similar triangles?</h3>
From triangle similarity theorems, we know that;
If a segment is parallel to one side of a triangle and intersects the other two sides, then the triangle formed is similar to the original and the segment that divides the two sides it intersects is proportional.
Now, from the given diagram, we see the ratio of corresponding sides are congruent as;
45/30 = 54/36 = 36/24 = 1.5
Thus, the triangles are similar by SSS similarity theorem
Read more about Similar Triangles at; brainly.com/question/14285697
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FG goes through the center of the circle, so FG is diameter.
EH=r=3
Answer: EH=3
Answer: The car would need 0.3 gallons of fuel to travel 20km.
Step-by-step explanation: 40mile x 1.6km = 64km
1 gallon 1 mile 1 gallon
20km ÷ 64km = 0.3125
