Answer:
38°
Step-by-step explanation:
The measure of required angle can be obtained by using cosine law.
From the given triangle we find that:
a = 5, b = 3, c = 7,
Since,
cos (A) = (b^2 +c^2 - a^2) /2bc
Therefore,
cos (A) = (3^2 + 7^2 - 5^2) /(2*3*7)
cos (A) = (9 + 49 - 25) /(42)
cos (A) = (33) /(42)
cos (A) = 0.785714286
A = arccos(0.785714286)
A = 38.213210675°
A = 38°
A: the formula would be f(x) = P(R) ^T or f(x) = Principle(rate)^time
B: f(x) = 20,000(0.85)^5
C: = 8,874.10625
D: Yes, the final answer makes sense compared to the origional cost of the car in relation to the formula. As well, time decreases the value of a car, so for the cost to be so low only makes sense due to the cars decrease in value or an extended and elongated amount of time.
E: You can solve this equation graphically by plotting th point at 20,000 and then taking 85% of 20,000 and plotting it each time until you get to the fifth year.
Answer:
The correct method for recording numerical information from an experiment is the quantitative method.
Step-by-step explanation:
This method represents the way of recording that tracks variables (sometimes more than one) and how they interact with each other. This will help to establish relationship within your experiment.
- Simplify ⇨ 19m + 14 - 3 (3m + 7)
Use the distributive property to multiply -3 by 3m+7.
Combine 19m and -9m to get 10m.
Subtract 21 from -14 to get -35.
Answer:
(-3.07, 11.07)
Step-by-step explanation:
Given that a sports writer wished to see if a football filled with helium travels farther, on average, than a football filled with air. To test this, the writer used eighteen adult male volunteers. These volunteers were randomly divided into two groups of nine subjects each.
Group Group One Group Two
Mean 300.00 296.00
SD 8.00 6.00
SEM 2.67 2.00
N 9 9
The mean of Group One minus Group Two equals 4.00
standard error of difference = 3.333
df = 16
t = 1.2000
Margin of error = 3.3333* t critical = 3.3333*2.121
95% confidence interval of this difference: From -3.07 to 11.07
