Answer:
45.27feet
Step-by-step explanation:
Given the height of the balloon (in feet) represented by the equation h=−16t2+28.7t+32.4, where t is the time (in seconds)
Note that the velocity of the balloon at maximum height is zero, hence;
v = dh/dt =0
-32t+28.7 = 0
-32t = -28.7
t = 28.7/32
t = 0.897secs
Get the maximum height
Recall that h=−16t²+28.7t+32.4
h = -16(0.897)²+28.7(0.897)+32.4
h= -12.87+25.74+32.4
h = 45.27feet
Hence the maximum height reached is 45.27feet
This graph will start at (.5, 0) as the vertex.
To find this, all you need to do if find the point where inside the absolute value sign is equal to 0. Since the graph can never have a negative value, this will be the lowest point.
2x - 1 = 0
2x = 1
x = .5
From there, you can plot each point by going up two and to the left one.
Examples of Points: (1.5, 2) and (2.5, 4)
You can also plot the other side of the graph by going up two and to the right one.
These points can be found using the slope, which is the number attached to x (2).
Example of Points (-.5, 2) and (-1.5, 4).
This is the concept of geometry, for us to prove the similarity of angles we can use the following postulates:
SAS (side-angle-side)
ASA (Angle side Angle)
SSS (side side side)
AAS (Angle Angle side)
therefore, given that AAA is used to prove similarity, another postulate that can be used to strengthen the postulate is SAS, because we already have the angle sizes, adding more sides will make the prove even stronger since we shall have three corresponding angles plus wo corresponding sides.
We call two numbers a and b, notice a>b
<span>The sum of two numbers is 110: a+b=110
</span><span>The larger number is 2 less than 7 times the smaller: a=7b-2
And by replacing a=7b-2 we have an equation: 7b-2+b=110
or 8b=110+2, and 8b=112, that means b=112:8= 14
We have two numbers: 14 and 96</span>
Answer:
47.3 m³
Step-by-step explanation:
The garden shed is made up of a rectangular prism and a pyramid.
<h3><u>Volume of a rectangular prism</u></h3>
<h3><u>Volume of a pyramid</u></h3>
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From inspection of the given diagram, the slant height of the pyramid is 3.5 m.
Calculate the perpendicular height of the pyramid using Pythagoras Theorem:
Therefore:
<h3><u>Volume of the garden shed</u></h3>
