Answer:
320 in.²
Step-by-step explanation:
Let's think of the shape as a normal rectangle with a height of 16 inches. Now all we need is the length. If you look at the right corner, it looks like a piece has been cut out. Since that piece has the same length and height of 8 inches, it is a square. This tells us the missing length of the entire length of the rectangle. Now the length of the rectangle is 16 inches + 8 inches, which is 24 inches.
The total area of the rectangle is 16 × 24, which is 384.
Then from the total area, we just need to subtract the area of the cut-out part. The area of the cut-out square is 8 × 8, which is 64.
384 - 64 = 320
The total surface area of the following complex shape is 320 in.²
The answer is C. |-31|=3
The absolute value of -31 should’ve been 31 not 3
Answer:
-12
Step-by-step explanation:
18 plus 13 is 41 29 subtracted from 41 is -12
The mean of a dataset is the all members of the dataset added together and then divided by the number of members in the set. From your description of the number line, I've created a list of members.
16, 17, 17, 17, 17, 19, 19, 19, 19, 21, 22, 22, 23, 25
Adding all members of this set up produces the value 273. There are 14 members in the set, so 273 / 14 = 19.5. Thus, the mean of the set is 19.5
Answer: option C
Step-by-step explanation:
The diagram of the triangle is shown in the attached photo. The triangle is a right angle triangle ABC
Assuming the given angle is #,
Recalling the trigonometric ratio,
tan # = opposite / adjacent
If tan # = 4, it means
opposite / adjacent = 4/1
Therefore, opposite = 4 and adjacent = 1
Applying Pythagoras theorem,
Hypotenuse^2 = opposite ^2 + adjacent ^2
Hypotenuse = AC
Opposite = 4
Adjacent = 1
AC^2 = 4^2 + 1^2 = 17
AC = ± √17
To determine cos #, we would apply another trigonometric ratio,
Cos# = adjacent /hypotenuse
Cos# = 1/±√17
Cos # =-1 /√17 or 1/√17
