Answer:
1. the red balloon
2.they both ascended at the same rate
Step-by-step explanation:
Answer:
about 2.9° north of east
Step-by-step explanation:
If we orient the directions so north is in the +y direction and east is in the +x direction, the car is traveling 13 km at an angle of -45°, then 16 km at an angle of +40°. We can add these vectors by adding their components in the x- and y-directions.
13(cos(-45°), sin(-45°)) ≈ (9.19239, -9.19239)
16(cos(40°), sin(40°)) ≈ (12.25671, 10.28460)
The sum of these vectors is then ...
= (21.44910, 1.09221)
and the resultant angle is ...
arctan(1.09221/21.44910) ≈ 2.915° . . . . measured north of east
The resultant direction is about 2.9° north of east.
Answer:
X = 2
Explaination:
To find x, we can solve the rational equation by combining expressions, and isolating the variable x.
6/x=9/3
So, Y is 3 when X is 9.
so, it should go like this:
9/3, 6/2, 3/1
that's how you find it.
Answer:
(2.5,10.5)
Step-by-step explanation:
Given that a ball is thrown verically upwards with an initial velocity. We know that the path is a trajectory as a parabola.
From graph we find that horizontal is in yards and vertical is in feet.
WE have to find the coordinates of A
When ball is thrown upward, acceleration due to gravity is -32 ft/s^2
Since height = s=+h0
we get h0 as initial height.
But without any calculation from the graph we find out these coordinates as
x coordinate = 2.5(since in the middle of 0 and 5)
y coordinate = 10.5(since in the middle of 9 and 12)
(2.5,10.5) is the coordinate of A
Answer: The dimensions of the flower bed are,
39 ft, 57 ft and 78 ft.
Step-by-step explanation: Of the three sides, one side is twice the length of the shortest. Let the shortest side be labelled as b. That means one of the sides of the flower bed measures twice b, that is, 2b.
Also we are told that the third side measures 18 feet more than the shortest side, b. The third side can now be represented by b + 18.
So the triangle has sides
b, 2b and b + 18
If the perimeter is 174, then
b + 2b + (b + 18) = 174
b + 2b + b + 18 = 174
4b + 18 = 174
Subtract 18 from both sides of the equation
4b = 156
Divide both sides of the equation by 4
b = 39.
Therefore the shortest side of the triangle measures 39 ft while the other two sides measure 78 ft (twice the length of b) and 57 ft (18 ft more than the shortest side)
