Answer:
27
Step-by-step explanation:
1^3 = 1
2^3 = 8
3^3 = 27
4^3 = 64
5^3 = 125
The missing number is 27.
Answer:
Step-by-step explanation:
3+6+x+4+3=94
16+x=94
x=78
The mode is 4
Answer: I believe the answer here would be 52.5 degrees.
Step-by-step explanation: Because an isosceles triangle has two equal sides, their base angles would be the same. The angles of a triangle add up to 180 degrees, so you would subtract 75 from 180 and divide 105 by two in order to find one of the base angles.
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 :)
Step-by-step explanation:
1. yes 4+16 = 20
2. yes 32 - 4 = 28
3. yes 4(10) = 40
4. no 24/6 = 4
