Answer:
74 (square) cm
Step-by-step explanation:
First, to find the surface area of both faces, make each face into two right triangles.
Use the formula A = ab/2 to find the surface area of one of the new right triangles. in this case, A = 2x3.5/2 is equal to 3.5.
Double this to find the full surface area for each face, 7 (square) cm.
Next, find the surface area of the base by multiplying the length by the width. in this case, 4x5 = 20, your base surface area.
Next, find the surface areas of the sides the same way as the base. This example has the same measurements as well. 5x4 = 20.
Last, add all of the solutions together to get the surface are of the whole object. 7 + 7 + 20 + 20 + 20 = 74 (square) cm
8x-32+19=8x-13
8x-51=8x-13
16x-51=13
16x/64
X=4
Answer: Option B
2 is NOT in the domain of f ° g
Step-by-step explanation:
First we must perform the composition of both functions:
If
and not ![\sqrt{x} -9](https://tex.z-dn.net/?f=%5Csqrt%7Bx%7D%20-9)
![f (x) = 4x + 3\\\\g (x) = \sqrt{x-9}\\\\f (g (x)) = 4 (\sqrt{x-9}) + 3](https://tex.z-dn.net/?f=f%20%28x%29%20%3D%204x%20%2B%203%5C%5C%5C%5Cg%20%28x%29%20%3D%20%5Csqrt%7Bx-9%7D%5C%5C%5C%5Cf%20%28g%20%28x%29%29%20%3D%204%20%28%5Csqrt%7Bx-9%7D%29%20%2B%203)
The domain of the composite function will be all real numbers for which the term that is inside the root is greater than zero. When x equals 2, the expression within the root is less than zero
![f (g (x)) = 4 (\sqrt{2-9}) + 3\\\\f (g (x)) = 4 (\sqrt{-7}) + 3](https://tex.z-dn.net/?f=f%20%28g%20%28x%29%29%20%3D%204%20%28%5Csqrt%7B2-9%7D%29%20%2B%203%5C%5C%5C%5Cf%20%28g%20%28x%29%29%20%3D%204%20%28%5Csqrt%7B-7%7D%29%20%2B%203)
The root of -7 does not exist in real numbers, therefore 2 does not belong to the domain of f ° g
The answer is Option B.
<em>Note. If </em>![g(x) = \sqrt{x}-9](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%5Csqrt%7Bx%7D-9)
So
And 2 belongs to the domain of the function
Nine point seven hundredths sixty-nine thousandths
1.The outer boundary,especially of a circular area ; perimeter
2.The area within a bounding line