Answer:
Step-by-step explanation:
It is given that in △ABC, ∠ABC=90°, BH is an altitude and AB=9 and AC=12, thus using the Pythagoras theorem in △ABC, we get





Now, From ΔABC and ΔHBC, we have
∠ABC=∠BHC(each90)
∠ACB=∠HCB (Common)
By AA similarity, ΔABC is similar to ΔHBC.
Thus, using the similarity condition, we get



Answer:
6
Step-by-step explanation:
Answer:
The equation for the variation is:

Step-by-step explanation:
The relationship is given by the quotient between the two variables: (1) distance of the storm, and (2) the number of seconds to hear the thunder. That is:

Answer:
D. 21
Step-by-step explanation:
28-21=7
28-7=21
Hello!
To find the surface area of the given cylinder, we need to use the formula of the surface area of a cylinder.
The formula for the surface area of a cylinder is SA = 2πrh + 2πr².
In this formula, r is the radius and h is the height.
In the given diagram, we see that the height is 6 meters, and the radius 9 meters. With those values, we can substitute them into our formula and solve for the surface area.
In some cases, you are given the diameter. To find the radius, you would need to divide the diameter by two.
SA = 2π(9)(6) + 2π(9)²
SA = 54(2π) + 2(81π)
SA = 108π + 162π
SA = 270π
SA ≈ 848.2 m²
Therefore, the surface area of the given cylinder is choice A, 848.2 m².