Answer:
Step-by-step explanation:
let a=Ann's amt., b=Betty's amt.
a=2b+9
b+2b+9=60
3b+9-9=60-9
3b=51
b=$17
a=34+9=$43
Answer:
213.3
Step-by-step explanation:
The volume of a pyramid is 1/3 base times height.
Using this formula, our square base is 8*8, or 64 square units.
Multiplying that by the height, 10. We get 64*10, 640.
Finally dividing by 3, we have 213.3333333333...
Rounding that to the nearest tenth, 213.3.
Set the to equal:
x^2 - 4x+4 = 2x-4
solve for X
subtract 2x from each side:
x^2 -6x + 4 = -4
subtract 4 from each side:
x^2 -6x = -8
add 8 to both sides:
x^2 -6x +8 = 0
factor the polynomial:
x = 4 and x = 2
using the line equation replace x with 2 and 4 and solve for y
y = 2(2) - 4 = 0
y = 2(4)-4 = 4
so the 2 points the line crosses the curve is (2,0) and (4,4)
using those 2 points you can calculate the length:
distance = sqrt((x2-x1)^2 +(y2-y1)^2
distance = sqrt( (4-2)^2 + (4-0)^2)
distance = sqrt (2^2 + 4^2)
distance = sqrt (4+16)
= sqrt 20
= 2 sqrt(5) EXACT LENGTH
Answer:
The area of the rectangle = 50 cm^2.
Step-by-step explanation:
Let the shortest side of the rectangle be x cm.
Perimeter of the rectangle is:
2x + 2(x + 5).
Perimeter of the triangle = 3 * 2x.
As they have the same perimeter:
2x + 2(x + 5) = 3*2x
2x + 2x + 10 = 6x
6x - 2x - 2x = 10
2x = 10
x = 5 cm.
So the area of the rectangle = x(x + 5)
= 5 * 10
= 50 cm^2.
Answer:
Input : 12
Output : -48
Step-by-step explanation:
Hope it helped
