This "road" they are running is basically an L-shape, and combined with the direct distance from start to end forms a triangle. This triangle has a hypotenuse of 13 (since the direction of the road changes from south to west, we can pretty much assume that it is a right triangle with legs of 5 and X.)
So to find X, we use the Pythagorean Theorem.
a²+b²=c²
(5)²+X²=13²
25+X²=169
X²=144
Distance cannot be negative, so we know that X=12. This is the length of the remainder of the road.
To find total distance, just add the two lengths of road together.
5+12=17
Answer:
30
Explanation:
the formula for calculating the area of a right-angled triangle is ½ × base × height, where the base of the triangle is one of its sides, and the height of the triangle is a line connecting the opposite vertex (corner) of the triangle to the base at a right angle.
in this case, because the triangle is already a right-angled one, we do not have to draw a hypothetical line to serve as the height.
all we have to do is apply the formula using the numbers given in the diagram to represent the base and the height.
½ × base × height = ½ × 12 × 5 = 30
i hope this helps! :D
We are told that to calculate the depth d of snow, in centimeters, that accumulates in Harper's yard during the first h hours of a snowstorm we can use the equation: .
To find number of hours it will take for 1 centimeter of snow to accumulate in Harper's yard we will substitute d=1 in our given equation.
Dividing both sides of our equation by 5 we will get,
Therefore, it will take of an hour or 12 minutes for 1 centimeter of snow to accumulate in Harper's yard.
Answer:
d=36m
Step-by-step explanation:
d=2r=2·18=36m