Answer: 20 ft
Step-by-step explanation:
The mirror is set away from the flagpole on the same scale set away from her.
The distance she stand's away from the mirror is 1/4 of the length of the distance between the mirror and the flag pole because she's 1/4 of the flagpole's size.
This means her size x4 is the size for the flag pole. This checks out because 12x4=48
So to find the height we must do 5x4
5x4=20
a. f(a) =5a+12
we have 1. a=6
Therefore, where ever we find a we'll substitute in 6
f(6) =5(6) +12
6f=30+12
6f=42
so therefore 1. a=6 will match c on the right
2. a=2
f(2) =5(2) +12
2f = 10+12
2f = 22
therefore 2. a=2 will match a on the right
3. a=4
f(4) =5(4) +12
4f=20+12
4f=32
therefore 3. a=4 will match d on the right
4. a=5
f(5) =5(5) +12
5f=25+12
5f=37
therefore 4. a=5 will match b on the right
Answer:
22 m
Step-by-step explanation:
The computation of the how much far does the boat travel is as follows:
sin 43 degrees = 15 ÷ d
d = 15 ÷sin 43 degrees
= 15 ÷ 0.6820
= 21.99
= 22 m
Hence, the how much far does the boat travel is 22 m
We simply applied the above formula so that the correct value could come
The same is to be considered
Answer:
Step-by-step explanation:
Given that a rectangle is inscribed with its base on the x-axis and its upper corners on the parabola
the parabola is open down with vertex at (0,2)
We can find that the rectangle also will be symmetrical about y axis.
Let the vertices on x axis by (p,0) and (-p,0)
Then other two vertices would be (p,2-p^2) (-p,2-p^2) because the vertices lie on the parabola and satisfy the parabola equation
Now width = 
Area = l*w = 
Use derivative test
I derivative = 
II derivative = 
Equate I derivative to 0 and consider positive value only since we want maximum
p = 
Thus width=
Length =
Width = 
Answer: 4 ties or draws
8 wins, 4 ties, 20 losses
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Explanation:
The ratio 2:1:5 is of the format wins:ties:losses where getting a draw is the same as getting a tie.
So one possibility is that they won 2 matches, tied once, and lost 5 matches. The only problem is that it doesn't fit with the statement that "The team lost 12 more matches than they won."
We could guess-and-check our way to the answer, but I think using algebra is the most efficient route.
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Let x = number of ties
2x = number of wins and 5x = number of losses
Note the ratio 2x:x:5x reduces to 2:1:5 after dividing everything by x.
Since the team lost 12 more matches than they won, this means,
loss count = (win count) + 12
5x = (2x) + 12
5x-2x = 12
3x = 12
x = 12/3
x = 4
The team tied 4 times and has 2x = 2*4 = 8 wins and 5x = 5*4 = 20 losses.
The ratio 8:4:20 reduces to 2:1:5 when you divide all parts by the GCF 4.
Also, the gap between 8 wins and 20 losses is 20-8 = 12 to help fully confirm we have the correct answer.
