Answer:
- the angle at H is 120 degrees
- the missing segment is DC
Step-by-step explanation:
The "roof" FGH is bigger than 90 degrees because FG and GH are not acute. .
Without instruction we can assume FGH is 120 degree.
This means GHF is 30 degrees to complete the triangle FGH.
So the angle around H, or JHG is 90 + 30 = 120 degrees
For the ratio, we can simply look at the comparison between the small figure DJHGF
and the large figure DCBAE, and we see that the denominator
DJ in the small figure is DC in the large figure.
Answer: The length of the second arc is 12 feet.
Step-by-step explanation:
Since we know that
A rope is swinging in such a way that the length of the arc is decreasing geometrically,
Length of first arc = 18 feet
Length of third arc = 8 feet
Let the length of second arc be x
As we know that
Hence, the length of the second arc is 12 feet.
According to the model, the year will the population exceed 470 million is 2060
What is the first step to take?
The first step in this case is to use the model to compute the population figure in each year as shown below:
N = 3.21t + 277.3
Year 2020:
t=20
N = 3.21(20) + 277.3
N=341.50
Year 2025:
t=25
N = 3.21(25) + 277.3
N= 357.55
Year 2030:
t=30
N = 3.21(30) + 277.3
N=373.60
Year 2035:
t=35
N = 3.21(35) + 277.3
N= 389.65
Year 2060:
t=60
N = 3.21(60)+ 277.3
N= 469.90
Year 2065:
t=65
N = 3.21(65)+ 277.3
N= 485.95
Since all the years given do not give the correct year, let us equate the target population figure to the model and solve for t
470= 3.21t + 277.3
470-277.3=3.21t
192.70=3.21t
t=192.70/3.21
t=60.03(approximately 2060)
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Answer:
Subtracting a negative number
The choice which is equivalent to; √(4-x²)/√(2-x) is; √(2-x).
<h3>Which choice is equivalent to the quotient?</h3>
According to the task content, it follows that the expression whose equivalent is to be determined can be evaluated as follows;
√(4-x²)/√(2-x) = √(4-x²)/(2-x)
Hence, the numerator can be evaluated by difference of two squares where;
(4-x²) = (2-x)(2+x)
Hence; we have; √(2-x)(2+x)/(2-x) = √(2-x).
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