the amount of time that she runs on the n-th day is:
T = 4min*n + 11min
And on day number 30 is:
T = 4min*30 + 11min = 133min
<h3>
How long did she run on the 30'th day?</h3>
We know that:
She ran for:
- 15 minutes on the 1* day
- 19 minutes on the 2nd day
- 23 minutes on the 3rd day
- 27 minutes on the 4th day.
So on each consecutive day that she runs, she adds 4 minutes to the running time. This is a linear relationship.
So, if we define n as the day number, we can write the time T of running as:
T = 4min*n + b
Where b is a constant, notice that when n = 1 (the first day) the time of running is 15 minutes, then:
15 min = 4min*1 + b
15 min - 4min = 11 min =b
Then the amount of time that she runs on the n-th day is:
T = 4min*n + 11min
And on day number 30 is:
T = 4min*30 + 11min = 133min
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The missing angle of the given triangle is 59°.
What is vertically opposite angles?
Angles that are vertically opposed to one another are always equal to one another. A vertical angle and the angle to which it is next are also supplementary angles; that is, they sum up to 180 degrees. As an illustration, if two lines connect to form an angle, say X=45°, then the angle's opposite angle is also 45°.
Here consider angle with 31° and 49° triangle is 1. We know that sum of all angles in triangle is add upto 180°. Then,
⇒ 49°+31°+x = 180°
⇒ 80° + x= 180°
⇒x= 180°-80°=100°
Then unknown angle in triangle 1 ia 100°.
Now according to the vertically opposite angle theorem , opposite angles are equal to each other. Then ,
In triangle 2 angle is 100° and 21°. Then missing angle is,
⇒ 100°+21°+missing angle =180°
⇒Missing angle = 180°-100°-21°
⇒Missing angle = 59°
Therefore the answer is 59°.
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Answer:
Step-by-step explanation:
What percent of values is between the first and third quartiles
50 < 75 < 87.5 < 100 < 125 < 150 < 175 < 200 < 212.5 < 225 < 250
Then we have 5 values between the first and third quartiles which are :
100, 125, 150, 175, 200
Therefore,
The percent of values between the first and third quartiles is :
First of all, 15 minutes is 1/4 of an hour. So 8:15 is 8.25 hours.
(8.25 hours/day) x ( 9 $/hour) x (5 days) = $371.25
In 2005 there were 9million bicycles in Beijing