Answer:
The answer is 168!
Step-by-step explanation:
6*4=24 (There are two triangles so you don't have to divide by 2, 24 is simply the answer to both), 6*9=54, 5*9*2=90, 90+54+24=168! I hope this helps! Have a great rest of your day!
Step-by-step explanation:
Given that,
The length of a ladder, H = 20 feet
The height of the wall, h = 15 ft
We know that,

h is perpendicular and H is hypotenuse
So,

Now using Pythagoras theoerm,

Hence, the angle made by the ladder and the ground is 48.59° and the ladder is 13.2 feet from the wall on the ground.
Answer:
A
Step-by-step explanation:
-When the function moves to the right or left to the x axis, the number has to be in "( )"
-If it moves to the right, you SUBTRACT the amount of units
-It it moves to the left, you ADD the amount of units.
So in this case, it is moving to the right 12 units so it is 
Answer:
c. 6.5 seconds.
Step-by-step explanation:
We have been given that a a paper plane is thrown from the top of a 147-foot cliff into the water below, the height of the plane at any given time can be determined by the formula
, where h is the height of the plane at t seconds.
To find the time, when plane will be at a height of exactly 20.25 feet, we will substitute
in our given formula and solve for t as:






Take square root of both sides:


Since time cannot be negative, therefore, the plane will be at a height of exactly 20.25 feet after 6.5 seconds and option 'c' is the correct choice.
Answer:
Step-by-step explanation:
Population of X is {1, 1, 2, 2, 2, 3, 3, 3}
Based on that, X's expected value, variance and standard deviation can be calculated as follows:
Expected Value, μ = 2.125 or 2.13
Variance, σ2 = 0.609375 0r 0.61
Standard Deviation, σ = 0.78062475 or 0.78