The maximum height of the object is 82.7034 from the ground
<h3>What is Velocity ?</h3>
Velocity is the measure of movement of an object with respect to time.
It is measured in m/sec
h = -4.9t²+21.6t +58.9
dh/dt = -9.8t +21.6
At maximum height , velocity = 0
therefore
-9.8t +21.6 = 0
9.8t = 21.6
t = 2.204 sec
h = -4.9 (2.204)²+ 21.6 * 2.204 +58.9
h = -23.803 +47.606 +58.9
h = 82.7034 from the ground
h = 23.80 from the point it is launched.
The maximum height of the object is 82.7034 from the ground
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If W(-10, 4), X(-3, -1), and Y(-5, 11) classify ΔWXY by its sides. Show all work to justify your answer. WX = ________ XY = ________ WY = ________ Classify: ______________________
Answer:
20 dogs
Step-by-step explanation:
Answer:
38.40 ft
Step-by-step explanation:
The problem statement tells you the proportion is ...
height/shadow = (4 ft)/(2.4 ft) = (tree height)/(23.04 ft)
Multiplying by 23.04 ft, we find ...
tree height = (23.04 ft)(4/2.4) = 38.40 ft
The height of the tree is 38.40 ft.
The cost of one bag is given as
$5
<h3> How much did one bag of popcorn cost?</h3>
Generally, the equation for the First family is mathematically given as
4x + 5y = 50
Equation Second family:
6x + 4y = 54
We have a system of 2 equations with 2 variables.
4x + 5y = 50
6x + 4y = 54
Since we are being asked for the cost of one bag of popcorn, which we will refer to as x, we will first remove y and then proceed to find x.
Both sides of the first equation need to be multiplied by -4, and both sides of the second equation need to be multiplied by 5. We are asked for the price of 1 bag of popcorn, x, so we will eliminate y and solve for x.
-16x - 20y = -200
30x + 20y = 270
In conclusion, Simply adding the equations will get rid of y.
14x = 70
x = 70/14
x = 5
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