The length of the missing side of the triangle is 129.96
<h3>Right angle triangle</h3>
Right angle triangle are triangle that has one of its sides as 90 degrees. The sides can be found using Pythagoras theorem. Therefore,
c² = a² + b²
where
c = hypotenuse
a and b are the other legs.
Therefore,
19² - 15.2² = a²
a = 361 - 231.04
a = 129.96
learn more on right triangle here: brainly.com/question/20795478
Answer:
The length of the pipe = 17 feet
Step-by-step explanation:
length = 15 feet
width = 8 feet
Pythagorean theorem,
(diagonal)² = (length)² +(width)² {all angles of rectangle are 90°}
= 15² + 8²
= 225 + 64 = 289
diagonal = √289 = √ 17 * 17
= 17 feet
<span>Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
**
y^2=-12x
This is an equation of a parabola with a horizontal axis of symmetry.
Its standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex(0,0)
4p=12
p=3
Focus:(-3,0)
Directrix: x=3
see the graph below as a visual check on the answers:
..
y=±(-12x)^.5</span>