Answer:
21. 162 (rounded to nearest thousandth)
Step-by-step explanation:
Area of a sector: (degree/360) (pi*radius^2)
degree given= 97
radius= diameter/2 = 5
(97/360) (pi*5^2)
(97/360) (pi*25) = 21.16211718
.Answer:
-105
Step-by-step explanation:
Given
for 6 weeks
Required
Represent this as an integer
If the driver spends $105 on his taxi then it means that the money is debited from the driver's bank account.
Debit implies negative and it is represented by a negative symbon
Hence, the integer that represents this scenario is -105
Answer: 1.5s+20
Step-by-step explanation:
Answer:
y = 90 -5/2 x
Step-by-step explanation:
The angle on the left equals x+3x+x = 5x
The angle on the right equals 2y
The two angles are same side interior angles which are supplementary because the lines are parallel
5x+2y = 180
Solving for y
2y = 180-5x
Divide by 2
2y/2 = 180/2 -5x/2
y = 90 -5/2 x
Answer:

Step-by-step explanation:
<u>Graphs</u>
The graph shows the amount of water in gallons as a function of time in seconds.
We are required to find the amount of water in the bucked after 1 second. Since the graph does not show an exact location for t=1, we must find the equation of the line.
Two points are clear on the graph: (0,0) (12,5). This gives us the necessary information to find the equation of the line, which has the form:

Where w is the amount of water in the bucket, t is the time, and m and b are two constants to be determined.
Using the point (0,0):

It follows that b=0
The equation now takes the form:

Using the point (12,5):

We find m:

The final equation is:

Substituting t=1:

The bucket has 5/12 gallons of water at t=1 second. Expressing the answer as an ordered pair:
