Answer:
8√5 units.
Step-by-step explanation:
See the diagram in the coordinate plane attached.
A rhombus has four equal sides and to find the perimeter of the rhombus we have to measure any of the sides of the figure of the rhombus.
The coordinates of the topmost point are (-1,-1) and that of the rightmost point are (3,-3).
Therefore, side length of the rhombus will be
units.
So, the perimeter of the rhombus will be (4 × 2√5) units = 8√5 units. (Answer)
The distance between two points
and
on a coordinate plane is given by
Let the least possible value of the smallest of 99 cosecutive integers be x and let the number whose cube is the sum be p, then

By substitution, we have that

and

.
Therefore, <span>the least possible value of the smallest of 99 consecutive positive integers whose sum is a perfect cube is 314.</span>
Answer:
92.5
Step-by-step explanation:
Lets say, first number = x
Second number = 3x+7
Total = 49
(x)+(3x+7)= 49
4x+7 = 49
4x = 42
x = 42/4
x= 10.5
x= 10.5
3x+7 = 3(10.5)+7 = 92.5
Hope this helps!!
Answer:
To break-even, Zorah needs to play for 8 hours.
Step-by-step explanation:
<u>To calculate the break-even point in hours, we need to use the following formula:</u>
Break-even point in units= fixed costs/ contribution margin per unit
Break-even point in units= 120 / (25 - 10)
Break-even point in units= 8 hours
To break-even, Zorah needs to play for 8 hours.
Answer:
5.911334
Step-by-step explanation: