Answer:
Step-by-step explanation:
= Half life of carbon = 5730 years
= Decay rate =
Duration of time passed is given by
The scroll is old.
We have two unknowns: x and y. Now, we have to formulate 2 equations. The first would come from the use of the given ratio:
We use the distance formula to find the distance between coordinates:
3/4 = √[(x-4)²+(y-1)²] / √[(4-12)²+(1-5)²]
√[(x-4)²+(y-1)²] = 3√5
(x-4)²+(y-1)² = 45
x² - 8x + 16 + y² - 2y + 1 = 45
x² - 8x + y² - 2y = 28 --> eqn 1
The second equation must come from the equation of a line:
y = mx +b
m = (5-1)/(12-4) = 1/2
Substitute y=5 and x=12 for point (12,5)
5 = (1/2)(12) + b
b = -1
So, the second equation is
y = 1/2x -1 or x = 2 + 2y --> eqn 2
Solving the equations simultaneously:
(2 + 2y)² - 8(2 + 2y) + y² - 2y = 28
Solving for y,
y = -2
x = 2+2(-2) = -2
Therefore, the coordinates of point A is (-2,-2).
Answer:
B) 46 ounces
Step-by-step explanation:
1 pound is 16 ounces, so 16*2 = 32 + 14 = 46!
using the formula above for finding area of trapezoids
a= 20in.
b=29.2in.
h= height= 12.5in.
(a+b)=20+29.2=49.2in.
(a+b)h= (49.2)12.5= 49.2×12.5=615in.
1/2(a+b)h= 1/2 × 615 in.= 615/2= 307.5in.
therefore the area of the trapezoid is 307.5in.