Answer:
18 minutes
Step-by-step explanation:
A = A₀ (½)^(t / T)
where A is the final amount,
A₀ is the initial amount,
t is the time,
and T is the half life.
A = 140 when t = 10. Solve for the half life:
140 = 700 (½)^(10 / T)
0.2 = ½^(10 / T)
log 0.2 = (10 / T) log 0.5
10 / T = 2.32
T = 4.31
When A = 40, t is:
40 = 700 (½)^(t / 4.31)
0.057 = ½^(t / 4.31)
log 0.057 = (t / 4.31) log 0.5
t / 4.31 = 4.13
t = 17.8
Rounded to the nearest whole number, it takes 18 minutes.
The length of the median from vertex C is equal to √17. As a median of a triangle is a line segment joining a single vertex to the midpoint of the opposite side of the triangle. In this case, the median will be from vertex C to the mid-point of the triangles side AB.<span> Thus, we can work out the length of the median from vertex C by using the Midpoint formula; M(AB) = (X</span>∨1 + X∨2) /2 ; (Y∨1 + Y∨2) /2 . Giving us the points of the midpoint of side AB, which can be plotted on the cartesian plane. to find the length of the median from vertex C, we can use the distance formula and the coordinates of the midpoint and vertex C , d = √(X∨2 - X∨1) ∧2 + (Y∨2 - Y∨1)∧2.
Answer:
Step-by-step explanation:
3.2x10^6
I believe the answer is B.
Hope this helps <3
Answer:
b = 10
Step-by-step explanation:
The area (A) of a triangle is calculated as
A = 
bh ( b is the base and h the height )
Here h = 3x + 15 and A = 15x + 75, thus
× b × (3x + 15) = 15x + 75
Multiply both sides by 2 to clear the fraction
b(3x + 15) = 30x + 150
Divide both sides by (3x + 15)
b = 
← factor numerator and denominator
= 
← cancel the factor (x + 5) on numerator/denominator
= 
= 10
