Answer:
6 ft above ground.
Step-by-step explanation:
The roller coaster starts from an elevation of +20 feet from the ground.
Now, it first corns 78 ft, then drops 85 ft.
So, the final elevation will be (20 + 78 - 85) = 13 feet above the ground on the second hill.
Again, it climbs 103 ft. and drops 110 ft. and finally his elevation will be = 13 + 103 - 110 = 6 ft above ground. (Answer)
Answer:
48
Step-by-step explanation:
In similar polygons, every side of one polygon is a certain number of times bigger than the corresponding side of the other polygon. This number is the scale factor. Since the perimeter of each polygon is the sum of the lengths of the sides of that polygon, the perimeters also have the same scale factor that the sides do.
For example, if a triangle has 3 sides measuring 5 cm each and a similar triangle has 3 sides measuring 10 cm each, you see that each side of the second triangle is 2 times the length of the corresponding side of the first triangle. The scale factor from the smaller triangle to the larger triangle is 2. Now look at the perimeters. Since 5 + 5 + 5 = 15 and 10 + 10 + 10 = 30, the perimeters are 15 cm and 30 cm, and again, the perimeter of the second triangle is the same 2 times bigger than the perimeter of the first triangle.
Now look at your problem.
The perimeter of the smaller flag to the right is 16.
We see a side on the larger flag is 15, but we don't see the same side length on the smaller flag, so 15 does not help us.
Now we see that a side of the smaller flag measures 4 and the corresponding side of the larger flag measures 12. We divide the larger side length by the corresponding smaller side length to find the scale factor.
12/4 = 3
The scale factor from the smaller flag to the larger flag is 3. The perimeters also have the same scale factor of 3.
perimeter = 3 * 16 = 48
Answer: 48
Answer:
The line intercepts the y-axis and 
Step-by-step explanation:
The intersection on the y-axis of a line is found to be 
.
That is, the intercept with the y-axis is the value of the function when x is equal to zero.
In this case we know the following points of the function:
x : -2 -1 0 1 2 3
y : 16 12 8 4 0 -4
Note that when then .
Therefore the line intercepts the y-axis and
Answer:
d(A,B)=1
Step-by-step explanation:
To find distance between points A(xA,yA) and B(xB,yB), we use formula:
d(A,B)=(xB−xA)2+(yB−yA)2−−−−−−−−−−−−−−−−−−−√
In this example: xA=3 , yA=5 , xB=3 and yB=6 so:
d(A,B)d(A,B)d(A,B)=(3−3)2+(6−5)2−−−−−−−−−−−−−−−√=0+1−−−−√=1
Answer:
0.15x
Step-by-step explanation:
15% of anything is 15/100 or 0.15 of it. You find that value by multiplying the "anything" by 0.15.
Since we don't know the value of x, the best we can do is show that the number of interest is x multiplied by 0.15.
