Answer:
Step-by-step explanation:
The hour hand is 20 mm and the minute hand is
- 200% of 20 mm = 2*20 mm = 40 mm long
The tip of the hour hand travels 1/12 of the circle and the tip of the minute hand travels full circle in one hour.
Find each length and their difference using circumference formula.
<u>Hour hand</u>
- 1/12*(2*3.14*20) = 10.47 mm (rounded)
<u>Minute hand</u>
<u>The difference between the two above</u>
- 251.2 - 10.47 = 240.73 mm
By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.
<h3>How to use quadratic equations to determine the age of a man in terms of blood pressure</h3>
In this problem we have a <em>quadratic</em> function that models the <em>blood</em> pressure as a function of age. As the latter is known, we must use the quadratic formula to determine the former:
129 = 0.006 · A² - 0.02 ·A + 120
0.006 · A² - 0.02 · A - 9 = 0
A = 1.667 + 38.733
A = 40
By knowing the <em>blood</em> pressure and applying the <em>quadratic</em> formula, the age of a man whose normal <em>blood</em> pressure is 129 mm Hg is 40 years old.
To learn more on quadratic equations: brainly.com/question/1863222
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Answer:
Congressman Stevens will win the race
Step-by-step explanation:
Considering the margin of error, the possible outcomes for each candidate would be:
Congressman Stevens: from (54 - 3)% to (54+3)%
Challenger Jones: from (44 - 3)% to (44+3)%
Congressman Stevens: from 51% to 57%
Challenger Jones: from 41% to 47%
Therefore, even considering the margin of error, the pollster would be able to safely predict that Congressman Stevens will win the race.
The right answer to that would be A
Answer:
m<ADC = 42°
Step-by-step explanation:
Based on the inscribed angle theorem, the inscribed angle, m<ADC is ½ the measure of minor arc AC.
If minor arc is given as 84°, therefore:
m<ADC = ½(84)
m<ADC = 42°