An architect has a floor plan for a house is designing. The length of a room of the house on the floor plan is 10 inches. If the
1 answer:
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Answer:
(a) By cosine rule, /PQ/2=202+152−2×20×15×cos145°
= 400+225−600cos145°
= 625+600×0.8192
= 491.52+625
/PQ/2=1116.52⟹/PQ/=1116.52−−−−−−√=33.41
≊33km ( to the nearest whole number)
(b) By sine rule,
sin<QPR15=sin14533.41
sin<QPR=15sin14533.41
sin<QPR=15×0.573633.41=0.2575
<QPR=14.92°
∴ Bearing of Q from P = 25° + 14.92° = 39.92°.
≊40° (to nearest whole number)
Step-by-step explanation:
hope it helps
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Answer:
D. 140°.
Step-by-step explanation:
We have been given an image of two intersecting lines. We are asked to find the measure of angle 3.
We know that when two line intersect they form two pairs of vertical angles.
Since angle 3 and angle 4 are vertical angle, they will be equal in measure. Using this information, we can set an equation as:
Upon substituting the expression for angle 3 and angle 4 is our equation we will get:
Upon dividing both sides of our equation by -1, we will get:
Upon substituting in expression for angle 3, we will get:
Therefore, the measure of angle 3 is 140 degrees and option D is the correct choice.