Answer:
hypotenuse = 10
Step-by-step explanation:
If you can tell at first glance it is a 3,4,5 triangle (6,8,10)/2=(3,4,5). Then you know that c has to equal 5.
If not,
a^2+b^2=c^2
6^2+8^2=c^2
36+64=c^2
100=c^2
10=c
Answer:
dy/dx = 
Step-by-step explanation:
-y + 2x²- x = -5y³
2x² - x = y - 5y³
4x - 1 = dy/dx - 15y².dy/dx
dy/dx(1 - 15y²) = 4x - 1
dy/dx = 
check the picture below.
so the playground is really just 3 rectangles and one triangle, now the triangle has a base of 8 and a height of 6. We can simply get the area of each figure, sum them up and that's the area of the playground.

Answer: Nicole has 88 erasers in all
Step-by-step explanation:
Number of erasers that Nicole has = 83
Number of erasers given to Nicole= 5
Total number of erasers Nicole has in all = 83+5= 88 erasers
Therefore Nicole has 88 erasers.
Answer:
3.5x + 2.50y = 1237.50
425 = x + y
Step-by-step explanation:
number of adult tickets: x
number of student tickets: y
3.5x + 2.50y = 1237.50
( value of adult ticket [3.50]* number of adult tickets [x]) + (value of student ticket [2.50] * number of student tickets [y]) = total value (1237.50)
425 = x + y
(number of adult tickets [x]) + (number of student tickets [y]) = total (425)