Answer:
θ = 38°
Step-by-step explanation:
The lower right triangle is congruent to the upper left triangle, so we have θ and 20° being the two acute angles in the triangle. The law of sines tells you ...
sin(θ)/9 = sin(20°)/5
sin(θ) = (9/5)sin(20°)
θ = arcsin(9/5·sin(20°)) ≈ 38°
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Another solution to the triangle is θ = 180° -38° = 142°. The diagram clearly shows θ as an acute angle, so we take this second solution to be extraneous.
It will take 40 minutes.
To solve, divide 60 by 3. 60 is how many minutes there are in a minute. 3 is how long it takes to paint 2/5 of the room. We do not need to use the number 2/5 in this situation. Now back to 60 divided by 3. The answer is 20 minutes. Now multiply 20 by 2 to get 2/3 of an hour. Therefore, it takes 40 minutes to paint 2/5 of a room.
<span>A new kind of temporary pavilion support for a square roof uses just two poles set at the diagonal corners of a square. The allowable distance between the poles is 18 feet. Find the area of the roof. The sides will have lengths of 18/sqrt(2). Since they are perpendicular, the area of the square will be (18^2)/2 = 81*4/2 = 162 square feet.
I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!
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She now has $122. If you add $55 and $67, since that is how much she earned doing chores, it will give you your answer. Hope this helped!
