Answer: Rita's paddling speed in still water is 2.5 miles pet hour and the speed of the river's current is 0.5 miles per hour.
Step-by-step explanation:
Let x represent Rita's paddling speed in still water.
Let y represent the speed of the river's current.
On a canoe trip, Rita paddled upstream (against the current) at an average speed of 2 miles per hour relative to the riverbank. This means that
x - y = 2 - - - - - - - - - - - - -1
On the return trip downstream (with the current) . Her average speed was 3 miles per hour. This means that
x + y = 3 - - - - - - - - - - - - -2
Adding equation 1 and equation 2, it becomes
2x = 5
x = 5/2 = 2.5 miles per hour.
Substituting x = 2.5 into equation 1, it becomes
2.5 - y = 2
y = 2.5 - 2 = 0.5 miles per hour
Answer:
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
Z < −
6
Interval Notation:
(
−
∞
,
−
6
)
Step-by-step explanation:
Same as 3-2, or 1 Commutative property of addition
Answer:
The slope of the line is 1.
Step-by-step explanation:
To solve this problem, we should use the equation for slope, which is given below:
slope = m = (y2-y1)/(x2-x1)
We can now plug in two points that are given in the table.
slope = m = (9-5)/(9-5)
We can simplify our expression for slope by first computing the subtraction inside the parentheses.
slope = m = 4/4
If we simplify the expression further by dividing the numerator by the denominator, we get:
slope = m = 1
Therefore, the correct answer is slope = 1.
Hope this helps!
Answer:
The distance to the top of the balloon is approximately 33.977 meters
Step-by-step explanation:
The (horizontal) distance from the hot air balloon from the observer, <em>l</em> = 30 m
The angle of elevation to the top of the balloon, θ = 28°
With the balloon standing upright, the distance to the top of the balloon, <em>d</em>, the height of the balloon, <em>h</em> and the horizontal distance to the balloon, <em>l</em>, form a right triangle, where;
d = The hypotenuse side
l = The leg adjacent to the reference (given) angle,
h = The leg opposite to the given angle, θ
By trigonometric ratios, we have;
From which we get;
The distance to the top of the balloon, <em>d </em>≈ 33.977 m