Answer:
5
Step-by-step explanation:
6 over 30 simplify it and boom (divide 30 by 6)
Answer:
76
or 238.76 ![units^{3}](https://tex.z-dn.net/?f=units%5E%7B3%7D)
Step-by-step explanation:
The volume of a cylinder is V = ![\pi r^{2} h](https://tex.z-dn.net/?f=%5Cpi%20r%5E%7B2%7D%20h)
Here the radius is r =
= ![\frac{1}{2}(4)=2](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%284%29%3D2)
The height is given as 19 ft
Then plug in all the numbers into the equation
V = ![\pi (2^{2})(19) = 76\pi = 238.76 units^{3}](https://tex.z-dn.net/?f=%5Cpi%20%282%5E%7B2%7D%29%2819%29%20%3D%2076%5Cpi%20%3D%20238.76%20units%5E%7B3%7D)
<span>The problem is to calculate the angles of the triangle. However, it is not clear which angle you have to calculate, so we are going to calculate all of them
</span>
we know that
Applying the law of cosines
c²=a²+b²-2*a*b*cos C------> cos C=[a²+b²-c²]/[2*a*b]
a=12.5
b=15
c=11
so
cos C=[a²+b²-c²]/[2*a*b]---> cos C=[12.5²+15²-11²]/[2*12.5*15]
cos C=0.694------------> C=arc cos (0.694)-----> C=46.05°-----> C=46.1°
applying the law of sines calculate angle B
15 sin B=11/sin 46.1-----> 15*sin 46.1=11*sin B----> sin B=15*sin 46.1/11
sin B=15*sin 46.1/11-----> sin B=0.9826----> B=arc sin (0.9826)
B=79.3°
calculate angle A
A+B+C=180------> A=180-B-C-----> A=180-79.3-46.1----> A=54.6°
the angles of the triangle are
A=54.6°
B=79.3°
C=46.1°
Answer:
See below
Step-by-step explanation:
Part A
<em><u>Formula</u></em>
M = 2/3 * log(E/Eo)
<em><u>Givens</u></em>
M = ??
E = 2 * 10^15 joules
Eo = 10^4.4
<em><u>Solution</u></em>
M = (2/3) * log(2 * 10^15 / 10^4.4)
M = (2/3 ) log (7.96 * 10 ^ 11)
M = (2/3) * 11.901
M = 7.934
Part B
What the question is saying is that E/Eo = 10000
You don't have to figure out exact values.
M = 2/3 * log(10000)
M = 2/3 * 4
M = 8/3 or 2 2/3 or 2.66667
If you have choices, please list them.