Answer:
the answer is 2.78 percent
Answer:
<h2><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em><em><u> </u></em><em><u>×</u></em><em><u> </u></em><em><u>2x</u></em></h2>
Step-by-step explanation:

= <em><u>2x × 2x × 2x (In expanded notation form) (Ans)</u></em>
Ok, so since it doesn't give a value for "my age", we'll call it x. So the sentence translates into an equation...
200 reduced means... 200 -
by 2 times my age means... 2x
equals 16 means... = 16
200 - 2x = 16
Now let's solve for x to find "my age"
First subtract 200 from each side to begin to isolate x
-2x = -184
Divide each side by -2 to isolate x
x = -184/-2
x = 92
I'm 92 years old!
Answer:
The rate of change of the tracking angle is 0.05599 rad/sec
Step-by-step explanation:
Here the ship is traveling at 15 mi/hr north east and
Port to Radar station = 2 miles
Distance traveled by the ship in 30 minutes = 0.5 * 15 = 7.5 miles
Therefore the ship, port and radar makes a triangle with sides
2, 7.5 and x
The value of x is gotten from cosine rule as follows
x² = 2² + 7.5² - 2*2*7.5*cos(45) = 39.04
x = 6.25 miles
By sine rule we have

Therefore,

α = Angle between radar and ship α
∴ α = 58.052
Where we put
to get
and differentiate to get
= 3.208 degrees/second = 0.05599 rad/sec.
<span>a/b = 3/5 ----- a = (3b)/5
a + b = 136 --- (3b)/5 + b = 136
3b + 5b = 680
8b = 680
b = 85
a = (3b)/5 = (3 * 85)/5 = 51
a = 85 and b = 51</span>