Answer:
$333.5
Step-by-step explanation:
First we have to find 45% of 230 and then add that value to 230
(we can also find 145% of 230, which is essentially the same thing)
so 45% of 230 is:
230*(45/100)= $103.5
230+103.5= $333.5
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:
5
Step-by-step explanation:
4(x+3) is 4x+12
2x+22=4x+12
-2x from both sides
get 22=2x+12
-12 from both sides
get 10=2x
divide by 2 to both sides
get 5
Well you will get a right angled triangle
Using Cos x = adj/hyp
cos33.9 = 8.2/hyp
hyp=8.2 / (cos33.9). So it would be <span>9.9 miles to 1 dp</span>
Circumference is 2πr so you subsitute for r also the radius with 10 so you get 20π as the diameter
