Answer:
y+(21)=-4(x-7)
Step-by-step explanation:
the point slope equation , two point
m=y2-y1/x2-x1
m=23+21/-4-7=44/-11= -4
y+(21)=-4(x-7)
This is adding two vectors, one magnitude 300 direction east, and one magnitude 100 direction 30 degrees northeast.
For the resulting sum we can use the Law of Cosines or just add up the components. Let's try it both ways.
Components first. In the east direction we have
300 + 100 cos 30° = 300 + 100(√3/2) = 386.60 miles per hour
In the north direction we have
0 + 100 sin 30° = 100 (1/2) = 50 miles per hour
So a total speed of
sqrt{386.6^2 + 50^2} = 389.82 miles per hour
Answer: 389.82
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OK let's try the Law of Cosines. We have sides 300 and 100 and included angle 150°.
Answer:
2
Step-by-step explanation:
It is the only one that makes sense
1. <APC = <DQB [ Given]
2. Arc(AC = BD) [ Equal angles subtend equal arcs]
3. AB//CD [From 2]
Answer:
The number of tiles the rug will cover is 54 tiles
Step-by-step explanation:
Here we have,
Total area covered by the rug = 18 ft²
Size of one tile = 1/3 ft²
Therefore the number of tiles that can fit into the the area is given by;
Total area of the rug ÷ Area of one tile
= 18 ft² ÷ 1/3 ft²
Here we note that we are dividing a number by a fraction which is the same as multiplying the number by the inverse of the fraction as follows
= 18 × 3/1 ft²/ft² = 54 tiles
The number of tiles the rug will cover = 54 tiles.
