Answer:
X = 13.13 feet
Step-by-step explanation:
Let the distance between Lila and Mark be x.
Let the distance between Avery and lila be A= 20
Let the distance between Avery and Mark be B= 30
Angle x = 200-180=20°
To solve this question we will use the cosine formula which is
X² = A²+ B² -2ABcosx
X²= 20² + 30² -2(20)(30)cos20
X²=1300-1127.6
X²= 172.4
X= 13.13
Answer:
The ship is located at (3,5)
Explanation:
In the first test, the equation of the position was:
5x² - y² = 20 ...........> equation I
In the second test, the equation of the position was:
y² - 2x² = 7 ..............> equation II
This equation can be rewritten as:
y² = 2x² + 7 ............> equation III
Since the ship did not move in the duration between the two tests, therefore, the position of the ship is the same in the two tests which means that:
equation I = equation II
To get the position of the ship, we will simply need to solve equation I and equation II simultaneously and get their solution.
Substitute with equation III in equation I to solve for x as follows:
5x²-y² = 20
5x² - (2x²+7) = 20
5x² - 2y² - 7 = 20
3x² = 27
x² = 9
x = <span>± </span>√9
We are given that the ship lies in the first quadrant. This means that both its x and y coordinates are positive. This means that:
x = √9 = 3
Substitute with x in equation III to get y as follows:
y² = 2x² + 7
y² = 2(3)² + 7
y = 18 + 7
y = 25
y = +√25
y = 5
Based on the above, the position of the ship is (3,5).
Hope this helps :)
It is 5389.030 to nearest hundredth
Answer:
3: 
4: 
Step-by-step explanation:
Question 3 can be re-written as:
which equals:
Question 4 can be re-written as:
Doing the first 2 brackets gives us:
Expanding these two:
Simplifying it:
