Answer:
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The time it will take the thermometer to hit the ground is 22 seconds
<h3>Calculating Time </h3>
From the question, we are to determine the how long it would take the thermometer to hit the ground
From the given information,
The equation for the height as a function of time is
h(t) = -16t² + initial height
From the given information,
The thermometer falls from a weather balloon at a height of 7744 ft
∴ Initial height = 7744 ft
When the thermometer hits the ground, h(t) = 0
Thus, we get
0 = -16t² + 7744
16t² = 7744
t² = 7744/16
t² = 484
t = √484
t = 22 seconds
Hence, the time it will take the thermometer to hit the ground is 22 seconds
Learn more on Calculating time here: brainly.com/question/17162388
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Answer:
k = 2
Step-by-step explanation:
Given the equations:
g(x) = 3x² + 8x + k
f(x) = 2x - 1
At the intersection point:
g(x) = f(x)
3x² + 8x + k = 2x - 1
3x² + 6x + (k+1) = 0
If there is only one intersection point, the discriminant must be equal to zero:
b² - 4(a)(c) = 0
6² - 4(3)(k+1) = 0
36 - 12(k+1) = 0
36 - 12k - 12 = 0
24 = 12k
24/12 = k
2 = k
Answer:
Step-by-step explanation:
The area 
of a triangle is equal to half the product of its length (L) because of its height (h).
The base of the triangles is 
The height of the triangles is 
Then the area of one of the triangles is:
The figure is formed by 12 equal triangles, then the area of the figure 
is:
