Answer:
The first listed equation is the correct equation to solve
The correct answer is: t = 5 seconds
Step-by-step explanation:
Let me mention first that there is an error in the statement that the gravitational pull of the Earth is 16 ft/s^2. It is in fact 32 ft/s^2, and the actual equation uses half of the acceleration multiplied by the square of the variable time, so it gives as final expression :

and we want to find the value/s for "t" that make this equation equal zero (when it reaches the ground and the object just touches the ground. This makes the equation we want to solve:

which solving for "t" becomes:

So we adopt the positive answer (positive time) since the negative value has no physical meaning for this problem.
That is: t = 5 seconds
Answer:
Two negative make a positive so this equation is basically 39 = n + 12 so you need to subtract 12 from each side. This makes it n = 27
Hope this helps!
Answer:
See Explanation
Step-by-step explanation:
According to the Question,
- Given That, ∠T and ∠S are complementary & ∠S and ∠U are complementary
Thus, m∠T + m∠S = 90 ------ Equation 1
& m∠S + m∠U = 90 ------- Equation 2
- Now, Subtract Equation 2 From Equation 1, we get
m∠T - m∠U = 0
Thus, m∠T = m∠U
The measure of angle T is equal to angle U.(∠U≅∠T).
Answer:
Vol. of the composite figure is 189 m³
Step-by-step explanation:
Find the volume of the larger figure by mult. together its 3 dimensions:
V = (9 m)(8 m)(3 m) = 216 m³.
Next, find the volume of the "notch," which is (3 m)³, or 27 m³.
Finally, subtract the "notch" volume from the 216 m³ volume found earlier:
216 m³ - 27 m³ = 189 m³
You'll notice that 36's prime factors had 2 even, and none other had an even number of even prime factors. Therefore, if you have an even number of even prime factors, your square root will be rational given the data