Answer:
h = 20 km
Step-by-step explanation:
Mario's path forms a right triangle with legs 16 km and 12 km and hypotenuse h. Let's use the Pythagorean Theorem (a² + b² = c²) to solve for h.
16² + 12² = h²
256 + 144 = h²
400 = h²
h = 20 km
M = (f(5) -f(-2))/(5 -(-2)) = (-10 -1)/7
m = -11/7
The slope of the line is -11/7.
Answer:
34.98 square units.
Step-by-step explanation:
It is given that DEF is a triangle, EF=10, DF=7 and DE=12.
Information of sides of triangle is relevant to calculating area.
We should use Heron's formula.
According to Heron's formula, the area of triangle is
where,
For triangle DEF, let a=10, b=7 and c=12.
Now,
Area of triangle is
Therefore, the area of triangle DEF is 34.98 square units.
Answer:
B. -√13/4
Step-by-step explanation:
cos 0 = -√3/4 => x=-√3 , h=4
tan 0 > 0
y should be on quadrant III
y= √4²-3= √16-3=√13 => -√13
so, sin 0 = y/h = -√13/4