The path is the hypotenuse of a right triangle with legs 30 and 120.
30² + 120² = c²
900 + 14400 = c²
15300 = c²
c=√15300 ≈123.7'
instead of walking 30+120=150 feet they save 26.3 feet by taking the shortcut
Answer:
y = - 4x - 13
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Here m = - 4, thus
y = - 4x ++ c ← is the partial equation
To find c substitute (- 3, - 1) into the partial equation
- 1 = 12 + c ⇒ c = - 1 - 12 = - 13
y = - 4x - 13 ← equation of line
Answer:
C.
The slope means that for every three rides, Brittany uses about 14 tickets.
Step-by-step explanation:
The given line of best-fit is
y = -4.64x + 47.6
Y-intercept is the point where x is zero. For the given equation y-intercept will be 47.6 or 48 rounded to nearest dollar. In other words, y-intercept is also a point where the line cross the y-axis.
From the given graph we can see that the y-axis shows the number of tickets purchased. The point where the line cross y-axis is about 48.
This tells us that Brittany had 48 tickets when she did not take any ride.
In this case, the slope of the line tells us that how many tickets were used for one ride, as x represents the number of rides. For one ride 4.64 tickets were, for 2 rides 2 x 4.64 = 9.28 tickets were used, for 3 rides 13.92 or around 14 tickets were used.
Now if we look at the given options we can easily say the option C is the correct answer.
Option A is not correct as it gives the opposite information than the actual one. Option B is also wrong, as x-intercept will tell us after how many rides the tickets will expire. Option D is wrong as y-intercept gives the number of tickets not the amount of money.
In the given question, there are several information's of immense importance and worth taking a look. based on these information's, the answer to the question can be easily determined.The length that has to be divided into 26 equal parts is 20 yards and 8 inches.Firstly we have to change the yard into inches and then we can divide the total inches into 26 equal parts.
We know
1 yard = 36 inches
20 yards = 720 inches
Then the total length that has to be divided = (720 + 8) inches
= 728 inches
Now we have to divide the 728 inches into 26 equal parts.
Length of each section = (728/26) inches
= 28 inches.
So each of the 26 parts will have a length of 28 inches.
Answer:
6.5 boxes
Step-by-step explanation:
Given
See attachment for closet
Required
Determine the number of boxes needed to fill the closet
First, we calculate the volume of the two section.
According to the attachment
The first section has the following dimension:



The second has the following dimension:
---- see the last label at the top
--- This is calculated by subtracting the length of the first section (4ft) from the total length of the closet (6ft) i.e. 6ft - 4ft

So: The volume of the closet is:




The number of box needed is then calculated by dividing the volume of the closet (208ft^3) by the volume of each box (32ft^3)


