Parallel means lines that never meet, and perpendicular are lines that meet at right angles.
If 72 is increased be 130 precent what is the result
1 answer:
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Answer:
The required function is and the graph of the function is shown below.
Step-by-step explanation:
It is given that A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.
It means the initial liquid in tank is 17 gallons and rate of change is 4 gallons per hour.
y-intercept is (0,18).
Slope is -4.
The liquid in tank is defined by the function
At y=0 the tank will empty.
The x-intercept is (4.5,0).
Therefore the required function is and the graph of the function is shown below.
Answer:
- a) 7 km
- b) 298°
Step-by-step explanation:
<em>See attached diagram (not to scale). </em>
<em>All given details reflected.</em>
a) <u>Find the measure of XZ using the law of cosines:</u>
- y = √(5² + 3² - 2*5*3*cos 135°) = 7 km (rounded)
b) <u>Now using the law of sines find the measure of angle X:</u>
- 7 / sin 135° = 5 / sin X
- sin X = 5 sin 135° / 7
- m∠X = arcsin (5 sin 135° / 7 ) = 28° (rounded)
<u>The bearing of Z from X is:</u>
- 270° + 28° = 298°
