<h3>
Answer: C) 3</h3>
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Explanation:
f(x) is the outer function, so the final output -8 corresponds to f(x)
We see that f(-4) = -8 in the first column of the table. I'm starting with the output and working my way backward to get the input. So we started with -8 and worked back to -4.
Then we move to the g(x) function to follow the same pattern: start with the output and move to the input. We start at -4 in the g(x) bubble and move to 3 in the x bubble.
In short, g(3) = -4
So,
f(g(x)) = f(g(3)) = f(-4) = -8
We see that x = 3 leads to f(g(x)) = -8
In the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.
<h3>What is a rebound line?</h3>
Water is released from the earth when it is squeezed or compacted by some force. As a further stage, the stress in the soil is removed, allowing the soil sample to expand back to its original size.
The soil will try to reclaim some of the stress it has lost after the stress has been released. Rebound is the word for this procedure.
We have a statement:
The rail of the table can be considered which of the following when making a bank shot:
The answer is a rebound line.
As the definition of the rebound line, the table's rail can be used as a rebound line.
Thus, in the pool, the rail of the table can be considered a rebound line as the definition suggest the table's rail can be used as a rebound line.
Learn more about the rebound line here:
brainly.com/question/15504221
SPJ1
Answer:
B = 34.2°
C = 58.2° or 121.8°
c= 10.6
Step-by-step explanation:
Step 1
Finding c
We calculate c using Pythagoras Theorem
c²= a² + b²
c = √a² + b²
a= 8, b = 7
c = √8² + 7²
c = √64 + 49
c = √(113)
c = 10.630145813
Approximately c = 10.6
Step 2
Find B
We solve this using Sine rule
a/sin A = b/sin B
A = 40°
a = 8
b = 7
Hence,
8/sin 40° = 7/sin B
8 × sin B = sin 40° × 7
sin B = sin 40° × 7/8
B = arc sin (sin 40° × 7/8)
B ≈34.22465°
Approximately = 34.2°
Step 3
We find C
Find B
We solve this using Sine rule
b/sin B = c/sin C
B = 34.2°
b = 7
c = 10.6
C = ?
Hence,
7/sin 34.2° = 10.6/sin C
7 × sin C = sin 34.2 × 10.6
sin C = sin 34.2° × 10.6/7
C = arc sin (sin 34.2° × 10.6/7)
C = arcsin(0.85)
C= 58.211669383
Approximately C = 58.2°
Or = 180 - 58.2
C = 121.8°
36 divided by 4 = 9
so then you take 3 times 9 which is 27 so the answer is
g=27
Answer:
Susan jogged 1 1/8 miles
Step-by-step explanation:
4 1/2= 18/4. 18/4 ÷ 1/4= 1.125= 1 1/8
