Answer:
b = 15°
Step-by-step explanation:
The base angles (c = ∠QRP) of ΔQPR are such that the sum of angles of the triangle is 180°. Since the triangle isosceles, the base angles are equal:
2c +60 = 180
2c = 120
c = 60 . . . . . . degrees; the base angle of ΔQPR
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Likewise, the base angle (∠SRP) of ΔSPR is ...
a = (180 -90)/2 = 45 . . . . . degrees
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The measure of angle b is the difference between the larger and smaller base angles:
b = c -a = 60° -45°
b = 15°
Answer:
12
Step-by-step explanation:
diameter is just radius times 2
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Answer:
21%.
Step-by-step explanation:
We have been given that Martha estimated there were 85 marbles in a jar for a contest. The actual number of marbles in the jar was 107.
We will use percentage error formula to answer our problem.
Let us substitute our given values in above formula.
Therefore, the percent error of Martha's estimation is 21% to the nearest percent.
Answer:
A) In 2004 the population will reach 306 million.
B) In 2033 the population will reach 386 million.
Step-by-step explanation:
Given : The population of a certain country in 1996 was 286 million people. In addition, the population of the country was growing at a rate of 0.8% per year. Assuming that this growth rate continues, the model represents the population P (in millions of people) in year t.
To find : According to this model, when will the population of the country reach A. 306 million? B. 386 million?
Solution :
The model represent the population is
Where, P represents the population in million.
t represents the time.
A) When population P=306 million.
Taking log both side,
Therefore, In 2004 the population will reach 306 million.
B) When population P=386 million.
Taking log both side,
Therefore, In 2033 the population will reach 386 million.