Answer:
Yes it is.
Step-by-step explanation:
For a triangle to be a right angled triangle, it needs to verify the pythagoras theorem which is
h² = p² + b²
where h is the longest side.
So,
15² = 12² + 9²
225 = 144 + 81
225 = 225
which is true.
So the triangle is a right angled triangle.
Answer:
3 seconds
Step-by-step explanation:
You want to set h(t)=3, then take the root such that t≠0. You would have:
3=3+48t−16t^2
Let's solve your equation step-by-step.
3=3+48t−16t2
Step 1: Simplify both sides of the equation.
3=−16t2+48t+3
Step 2: Subtract -16t^2+48t+3 from both sides.
3−(−16t2+48t+3)=−16t2+48t+3−(−16t2+48t+3)
16t2−48t=0
Step 3: Factor left side of equation.
16t(t−3)=0
Step 4: Set factors equal to 0.
16t=0 or t−3=0
t=0 or t=3
3 makes more sense than 0 because the ball can't have been in the air for 0 seconds.
So the ball was in the air for 3 seconds.
If you want to know the number that is equivalent to 0.05, you can calculate this using the following two steps:
0.05 equals to 5/100 <span>which simplifies to </span>1/20.
<span>
The result is 1/20.
</span>
Answer:
7: B, 8: A
Step-by-step explanation:
7. The domain of a function is the set of all of the values of x that are in it. In this case, we are given a series of points, so the domain of the function will be the set of x-coordinates of the points. The x-coordinate of a point is the first coordinate in the ordered pair representing the point. For example, in (0, 1), the x-coordinate is 0.
Applying that here, the x-coordinates of the points are 8, 5, 9, and 6, or 5, 6, 8, 9 in ascending order. Therefore, the domain of the function is {5, 6, 8, 9}, or option B.
8. In a system of coordinates, an abscissa is simply an x-coordinate (option A). For example, in our previous example point, (0, 1), the abscissa would be 0, because the point's x-coordinate is 0. Hope this helps!
Answer:
h = 6
Step-by-step explanation: