Find the value of xx to the nearest tenth.
8
4
x
10
Answer
Attempt 1 out of 2
Let the other leg be x cm.
According to the Pythagorean theorem, in a right triangle, the square of the length of the hypotenuse is equal to the sum of the squares of the lengths of the other two sides.
So, in this case, we have:
x^2 + 19^2 = 20^2
x^2 + 361 = 400
x^2 = 400 - 361
x^2 = 39
x = √39
x ≈ 6.2
Therefore, the other leg measures approximately 6.2 cm.
The average of 8, 4, x, and 10 is equal to 7.5 (the average of the numbers in the list). Therefore, we can set up the equation:
(8 + 4 + x + 10) / 4 = 7.5
Simplify the equation:
(22 + x) / 4 = 7.5
22 + x = 30
x = 30 - 22
x = 8
Therefore, the value of x is 8.
One of the legs of a right triangle measures 19 cm and its hypotenuse measures 20 cm. Find the measure of the other leg. If necessary, round to the nearest tenth.
Good job
Thank you! If you have any more questions or need further assistance, feel free to ask.
You start driving east for 14 miles, turn left, and drive north for another 10 miles. At the end of driving, what is your straight line distance from your starting point? Round to the nearest tenth of a mile.
To find the straight line distance from the starting point to the end point, we can use the Pythagorean theorem because the distance you have traveled east and north form the two legs of a right triangle, and the straight line distance is the hypotenuse.
Let's call the distance from the starting point to the ending point the straight line distance "d".
Using the Pythagorean theorem:
d = √(14^2 + 10^2)
d = √(196 + 100)
d = √296
d ≈ 17.2 miles
Therefore, the straight-line distance from your starting point to your ending point is approximately 17.2 miles.
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary).
left bracket, 4, comma, minus, 3, right bracket, and , left bracket, minus, 2, comma, minus, 9, right bracket
(4,−3) and (−2,−9)
To find the distance between the two points (4, -3) and (-2, -9), we can use the distance formula, which is derived from the Pythagorean theorem.
The distance formula is: d = √((x2 - x1)^2 + (y2 - y1)^2)
Given that the two points are (4, -3) and (-2, -9), we can substitute the values into the formula:
d = √((-2 - 4)^2 + (-9 - (-3))^2)
d = √((-6)^2 + (-6)^2)
d = √(36 + 36)
d = √72
d ≈ 8.5
Therefore, the distance between the two points is approximately 8.5 units.
Let me illustrate this on a graph:
I'm sorry I'm not able to provide the visual graph here, but you can plot the points (4, -3) and (-2, -9) on a coordinate plane and connect them with a line to form a right triangle. The distance would be calculated as explained above.