Answer:
Third side must be greater than 7 and less than 17
Step-by-step explanation:
If a triangle has two sides of lengths 5 and 12, the value for the length of the third side be greater than 7 and less than 17.
Answer:
See Explanation
Step-by-step explanation:
The question is incomplete, as the options to select the required condition from were not listed. So, I will answer on general terms
From the question, we understand that the cube has an open-top and the surface ares is 256 in^2
Let L represents the edge length, the surface area (S) is:

Substitute 256 for S

Divide both sides by 5

Take square roots of both sides:


---- approximated
The volume of the cube is:




<em>So, the edge length of the cube is 7.16 inches and the volume is 366.36 cubic inches</em>
<em />
First we want to calculate at what height and at what time rocket stops ascending.
h' = 256 - 32t = 0
32t = 256
t = 8
h = 256*8 - 16*8^2
h = 1024
Now we want to find time at which it gets 200 feet that means our equation is:
200 = 256t - 16*t^2
-16*t^2 + 256t - 200 = 0
t1 = 0.82s
t2 = 15.17s
time t1 is when rocket is ascending and t2 when it is descending therefore answer is t2
The measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
<h3>What is trigonometry?</h3>
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have a standard-position angle determined by the point (x, y).
The point is (9, 12)
From the Pythagoras theorem, we can find the hypotenuse(h):
h = √(9²+12²)
h = 15
cscθ = hypotenuse/opposite = 15/12 = 5/4
secθ = hypotenuse/adjacent = 15/9 = 5/3
Thus, the measure of the cscθ and secθ are 5/4 and 5/3 respectively option (A) is correct.
Learn more about trigonometry here:
brainly.com/question/26719838
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Answer:
see below for a graph
Step-by-step explanation:
One point can be plotted at the y-intercept: (0, -2). Since the slope tells you the line drops 3 units for each 2 units to the right, the point (2, -5) will be another point on the line. The graph will go through those two points.