The answer is: " 2291 units " .
____________________________________________
Explanation:
____________________________________________
Formula for "Area of a trapezoid" :
____________________________________________
Area = (1/2) * (base length 1 + base length 2) * height;
or: A = (1/2) * (b + B) * h.
We are missing the value for "b" one of the base lengths.
However, since: A = 68² (given) ; B (the other base length) = 21; and the perpendicular height, "h" = 4 ; we can plug this values into the formula, and solve for "b" ;
________________________________________________
A = (1/2) * (b + B) * h ; ↔ 68² = (1/2) * (b + 21) * 4 ;
↔ <span>4624 = 2 (b + 21) = 2b + 42 ;
</span> ↔ <span>4624 = 2b + 42 ;
</span> ↔ <span>2b + 42 = 4624 ;
Subtract "42" from each side of the equation:
2b + 42 - 42 = 4624 - 42 ;
to get: 2b = 4582 ;
</span>___________________________________________________
Now, divide each side of the equation by: "2" ; to isolate "b" on one side of the equation; and to solve for "b" ;
___________________________________________________
2b / 2 = 4582 / 2 ;
___________________________________________________
to get: b = 2291 units.
___________________________________________________
Hello :)
A carousel would be a rotation. Since a carousel is stationary, it would not be a translation.
Hope this helps and have a great day :D
Answer:
Step-by-step explanation:
Assuming that the patio is a rectangle, we have
Where 
is the length and 
is the width.
Now let's assume that the length of the patio is double than the width.
So, the equation that represents this problem is
B. THE 2 IN THE TENTHS PLACE IS 10 TIMES THE VALUE OF THE 2 IN THE HUNDREDTHS PLACE.
2 2 . 2 2 2
tens ones decimal point tenths hundredths thousandths
2 in the tenths place = 0.20
2 in the hundredths place = 0.02
0.02 x 10 = 0.20
Any line can be expressed in the form y=mx+b where m is the slope and b is y intercept.
Two lines can either be parallel ,overlap or meet at one point .Let us look at different cases :
1)When two lines are parallel they do not intersect at any point and hence the system of equations have no solution.
2) When two lines overlap each other then the two lines touch each other at infinite number of points and we say the system of equations have infinite solutions.
3) When two lines intersect each other at one point we say the system of equation has one solution.
Part A:
The given lines are intersecting at one point so we have one solution.
Part B:
The point of intersection is the solution to the system of equations .In the graph the point of intersection of the lines is (4,4)
Solution is (4,4)
