20 divided by 1683 is 0.011883541295306
Answer:
12/5
Step-by-step explanation:
Width times Length = the area
w*5 = 12
w = 12/5
There are standard formulas for this type of problem. However, it can also be solved by a combination of simple steps.
First, the shortest distance from the point (3,5) to the line y = x +4 (line1) will be along a straight line perpendicular to line1. Give the perpendicular line the name line2. Since the slope of line1 is 1, the slope of line2 will be -1.
Second, since line2 must go through (3,5) and also have a slope of -1, the point slope form can be used for line2:
y - 5 = (-1) (x -3)
So the equation of line2 is y = -x +8.
Third, the point of intersection of line1 and line2 can be found by solving the set of equations:
y = x +4
y = -x + 8
The solution of this set of two equations is x = 2, y = 6 i.e. the point (2,6) .
Fourth, the distance formula can be used to find the distance between (3,5) and (2,6)
d = sqrt( (3-2)2 + (5-6)2 ) = sqrt(2)
This is the desired distance.
Answer:
She ran a total distance of 8,800m or 8.8km
Step-by-step explanation:
In this question, we are asked to calculate the total distance ran by Leilani if at each meet she runs a distance that is exactly equal to a quarter of the total and she competed 22 times during the year.
Firstly, we proceed to calculate the the distance she runs at each relay for her team. We were told she runs a distance equivalent to a quarter.
Mathematically, the distance she runs will be ; 1/4 * 1,600 = a distance of 400 meters
Now, we are told that she ran at 22 different track meets last year. So the total distance she ran will be 22 * 400 = 8,800m or 8.8km
Answer:
200
Step-by-step explanation:
The reason why this answer is 200 is because it gave us a clue that 30 students said that pie was their favorite desert, what is half of 30? 15 so therefore, the pattern is half of each.
Ice cream: 35x2=70
Cake: 27x2=54
Candy: 23x2=46
Pie: 15x2=30
So, 70+54+46+30=200
