Answer:
Below in bold.
Step-by-step explanation:
sin 60 = √3/2
so √3/2 = h / 12
height h = 12√3/ 2
= 6√3 inches or 10.39 inches to nearest hundredth.
Volume = area of base * height = 10*8*6√3
= 480√3 in^3 or 831.38 in^3 to nearest hundredth.
Answer:
ƒ(x) = 3|x – 2| + 1
To find f(-2) substitute - 2 into f(x)
That's
f(-2) = 3| - 2 - 2 | + 1
= 3| - 4| + 1
But absolute value of any number is positive including negative numbers
That's
| - 4 | = 4
So we have
3(4) + 1
12 + 1
<h2>f(-2) = 13</h2>
To find f(1) substitute 1 into f(x)
That's
f(1) = 3 | 1 - 2| + 1
= 3 | - 1| + 1
But | - 1| = 1
= 3(1) + 1
= 3 + 1
<h2>f(1) = 4</h2>
Hope this helps you
A(sub2) = 5 * 5^(2-1)
a(sub2) = 5 * 5^1
a(sub2) = 5 * 5
a(sub2) = 25
Answer:
The answer is A :)
Step-by-step explanation:
Answer:
6 seconds
Step-by-step explanation:
We have to find the t-intercepts of the function. To do so, let's set h(t) = 0.
0 = 96t - 16t²
0 = 16t(6 - t) -- Factor 96t - 16t²
16t = 0 or 6 - t = 0 -- Use Zero Product Property
t = 0 or t = 6 -- Solve for t
We're not looking for the solution t = 0 because that represents when the debris was launched. Therefore, the answer is 6 seconds.