Answer:
A. The length of the third side is approximately 5 feet.
B. A =
, B =
and C =
.
Step-by-step explanation:
Let the triangle be ABC. Given two sides and an included angle, let us apply the cosine rule to determine the third length.
A. Let side a = 6 feet and c = 3 feet, thus;
=
+
- 2ac Cos B
=
+
- 2(6 x 3) Cos 
= 36 + 9 - 36 x 0.5
= 45 - 18
= 27
b = 
= 5.1962
b = 5.2 feet
b ≅ 5 feet
The length of the third side is approximately 5 feet.
B. Given that B =
, then let us apply the Sine rule to determined the measure of A.
=
So that,
= 
Sin A = 
Sin A = 0.99923
A =
0.99923
= 87.75
A ≅ 
Since the sum of angle in a triangle =
.
Then,
A + B + C = 
+
+ C = 
+ C = 
C =
- 
= 
C = 
Thus,
A =
, B =
and C =
.
Pythagorean theorem you times 40 by 2 then 9 by 2 then square root
You could move the decimal to the right 6 times
0.2 x 10^6
0200000 or 200,000(remember that if there's only two digits there will be one less zero than the exponent)
The percentage of the radioactive isotope left is 25.0000%.
<h3>What is the half life?</h3>
The half life of a radioactive isotope is the time that will elapse before only half of the number of original isotopes will remain.
Now;
We are told that;
Half life (t1/2) = 55 days
Time taken (t) = 115 days
Ratio of isotope remaining = N/No
Thus;
N/No = (1/2)^t/t1/2
N/No = (1/2)^115/55
N/No = (1/2)^2
N/No =1/4
Hence, the percentage = 1/4 * 100/1 = 25.0000%
Learn more about half life of an isotope:brainly.com/question/16387602
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Answer:
12.5
Step-by-step explanation:
A 10x10 grid would have 100 units. If you divide it into 8 equal units you would do:
100 / 8
Which gets you, 12.5