Answer:
Yes, a triangle with sides 8,15 and 17 is a right triangle.
Step-by-step explanation:
The Pythagorean theorem solely applies to right triangles, and if the sum of the square of the two sides of a triangle equal the square of the hypotenuse, then you have a right triangle.
To set it up, remember that the side opposite 30 degrees will be the smallest of the three numbers, and the side opposite 90 degrees (the hypotenuse) will be the largest, leaving the middle number as opposite 60 degrees. If you solve 8^2 + 15^2, you get 289, which is equal to 17^2.
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Answer:
0.8
Step-by-step explanation:
just took the quiz on this same question
The answer is 57.04 meters.
Solution:
The height y of the rock above the ground as a function of the horizontal distance x from the starting point on top of the hill can be modeled by the equation
y = -0.04x^2 + 1.3x + 56
We now set this equation equal to zero because the height of the ground where the rock will land is zero:
0 = -0.04x^2 + 1.3x + 56
Since we have a quadratic equation, we can calculate for the horizontal distance x by using the quadratic formula
x = [-b ± sqrt(b^2 - 4ac)] / 2a
x = {-1.3 ± sqrt[1.3^2 - 4(-0.04)(56)]} / 2(-0.04)
x = (-1.3 ± sqrt(10.65)) / (-0.08)
x = -24.54 meters or 57.04 meters
There are two solutions for x but one is negative, so we choose the positive value.
