The area of the base is:
A = root ((s-a) * (s-b) * (s-c) * (s))
Where,
a, b, c: sides of the triangle
s = (a + b + c) / 2
We have then:
s = (9 + 9 + 9) / 2
s = 13.5
A = root ((13.5-9) * (13.5-9) * (13.5-9) * (13.5))
A = 35.07
Then, the surface area of the prism is:
S.A = 2 * A + 9h + 9h + 9h
Where,
h: height of the prism:
Substituting values:
421.2 = 2 * (35.07) + 9h + 9h + 9h
Clearing h:
27h = (421.2 - 2 * (35.07))
h = (421.2 - 2 * (35.07)) / (27)
h = 13
Answer:
the height of the box is:
h = 13 inches
Answer:
A:2
B:-5
C:8
D:-147
Step-by-step explanation:
A: For this one, you can cancel out the negatives. Then just divide 14 by 7. Your final answer is 2. Final Answer : 2
B: This one you can forget about the negative for the first bit. Just divide 15 by 3 to get 5. Now the negative is only on one side of the equation so therefore we add the negative back into our answer. Final Answer : -5
C: Just divide 32 by 4 to get 8. No removal or substitution is needed for this one because both numbers are positive. Final Answer : 8
D: Multiply both numbers normally forgetting about the negative at first. 49 * 3 is 147. Now one of our numbers contain a negative so we plug back the negative into our answer. Final Answer : -147
slaves is the correct answer
The maximum height the ball achieves before landing is 682.276 meters at t = 0.
<h3>What are maxima and minima?</h3>
Maxima and minima of a function are the extreme within the range, in other words, the maximum value of a function at a certain point is called maxima and the minimum value of a function at a certain point is called minima.
We have a function:
h(t) = -4.9t² + 682.276
Which represents the ball's height h at time t seconds.
To find the maximum height first find the first derivative of the function and equate it to zero
h'(t) = -9.8t = 0
t = 0
Find second derivative:
h''(t) = -9.8
At t = 0; h''(0) < 0 which means at t = 0 the function will be maximum.
Maximum height at t = 0:
h(0) = 682.276 meters
Thus, the maximum height the ball achieves before landing is 682.276 meters at t = 0.
Learn more about the maxima and minima here:
brainly.com/question/6422517
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