Answer:
x,y = -4, -15
Step-by-step explanation:
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 :)
Answer:
Need more information
Step-by-step explanation:
31.02 mm.
Step-by-step explanation:
Step 1:
The area of the given circle is 240.48 π sq mm
We need to find the diameter of the circle
Step 2:
The formula for obtaining the area of any circle is π*r² where r represents the radius of the circle
We know that the diameter of circle is 2 times its radius.
Hence equating the formula of the area of the circle to the given value we can find its radius. Then multiplying the radius by 2 , we get the diameter.
Step 3 :
Using the above method , we have
πr² = 240.48 π
=> r² = 240.48 π / π = 240.48
=> r = √240.48 = 15.51 approximately
Hence the diameter of the given circle is 2 * 15.51 = 31.02 mm.
Answer:
28.27530
Step-by-step explanation:
Given the expression 62.834 × 0.45, to solve this expression, first we need to convert it to fraction
62.834 = 62834/1000
0.45 = 45/100
Take the product if the resulting fraction:
62.834 × 0.45 = 62834/1000 × 45/100
= (62834×45)/1000×100
= 2,827,530/100,000
= 28.27530
