Answer:
D=36
Step-by-step explanation:
All angles of the triangle add up to 180. Subtract 180-59-55=66
Then the missing measurement is a vertical which means that E=66.
So then 180-78-66=36
The expression given is
The sum of the expression will be,
The sum will be
Answer:
See below. A=45 p=39.64
Step-by-step explanation:
Hi = 9 squares (h)
Gh= 14 squares. (b)
Area of a triangle = 1/2 bxh
1/2 14 x 9
7x9= 45.
Area =45 squares.
Perimiter
A= side hi (9)
B= side gh (14)
C= side gi (unknown)
A^2 + b^2 = c^2
9^2 + 14^2 = 277
C^2 = 277
Square root of 277 =c
C length =16.64 squares
A+b+c = perimeter
9+14+16.64 = 39.64 squares.
Sorry I cannot see the units of measure in the photo
Answer:
the time taken for the radioactive element to decay to 1 g is 304.8 s.
Step-by-step explanation:
Given;
half-life of the given Dubnium = 34 s
initial mass of the given Dubnium, m₀ = 500 grams
final mass of the element, mf = 1 g
The time taken for the radioactive element to decay to its final mass is calculated as follows;
![1 = 500 (0.5)^{\frac{t}{34}} \\\\\frac{1}{500} = (0.5)^{\frac{t}{34}}\\\\log(\frac{1}{500}) = log [(0.5)^{\frac{t}{34}}]\\\\log(\frac{1}{500}) = \frac{t}{34} log(0.5)\\\\-2.699 = \frac{t}{34} (-0.301)\\\\t = \frac{2.699 \times 34}{0.301} \\\\t = 304.8 \ s](https://tex.z-dn.net/?f=1%20%3D%20500%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%20%5C%5C%5C%5C%5Cfrac%7B1%7D%7B500%7D%20%3D%20%20%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%3D%20log%20%5B%280.5%29%5E%7B%5Cfrac%7Bt%7D%7B34%7D%7D%5D%5C%5C%5C%5Clog%28%5Cfrac%7B1%7D%7B500%7D%29%20%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20log%280.5%29%5C%5C%5C%5C-2.699%20%3D%20%5Cfrac%7Bt%7D%7B34%7D%20%28-0.301%29%5C%5C%5C%5Ct%20%3D%20%5Cfrac%7B2.699%20%5Ctimes%2034%7D%7B0.301%7D%20%5C%5C%5C%5Ct%20%3D%20304.8%20%5C%20s)
Therefore, the time taken for the radioactive element to decay to 1 g is 304.8 s.
Can be achieved by dividing.
___
8 ÷ 9 = 0.8888
Therefore the answer is B
