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Answer:
2) ABCD is a RECTANGLE.
Perimeter = 30 units
Step-by-step explanation:
Here, the given points of the quadrilateral are:
A(6, –4), B(11, –4), C(11, 6), D(6, 6)
Now, if P(a,b) and Q(c,d) are any two given points, then the distance between them is given by DISTANCE FORMULA as:
Use this to find the length of all 4 sides:
AB with coordinates A(6, –4), B(11, –4) is given as:
⇒ AB = 5 units
BC with coordinates B(11, –4), C(11, 6) is given as:
⇒ BC = 10 units
CD with coordinates C(11, 6), D(6, 6) is given as:
⇒ CD = 5 units
AD with coordinates A(6, –4),D(6, 6) is given as:
⇒ AD = 10 units
Now, here AB = CD = 5 units, AD = BC = 10 units
Also, in a RECTANGLE, OPPOSITE SIDES ARE EQUAL IN LENGTH.
Hence, ABCD is a RECTANGLE.
Perimeter = AB + BC+ CD + AD = 5 + 10 + 5 + 10 = 30 units
Answer:
(a) A = (20mg)/(2^(t/30))
(b) 12.6mg
(c) 129.6years
Step-by-step explanation:
To calculate the amount remaining after a number of half-lives, n, we can make use of:
Where A = amount remaining
B = initial amount
(a) A = (20mg)/(2^(t/30))
(b) Mass after 20years
A = (20mg)/(2^(20/30)) ≈ 12.6mg
(c) After how long will only 1mg remain:
1mg = (20mg)/(2^(t/30))
Taking log of both sides we have:
Log(20) = (t/30)log(2)
t/30 = (log(20))/(log(2)) ≈ 4.3
t/30 = 4.3
t = 30 x 4.3 ≈ 129.6years.