Answer:
63.5
Step-by-step explanation:
The diagonals of a rhombus bisect opposite angles.
The longer diagonal bisects the 42° angle
The larger angle of the rhombus is 180 - 42 = 138
Let x = the length of the longer diagonal
You know two sides and the included angle of a triangle.
Using the law of cosines we get
x^2 = 34^2 + 34^2 - 2(34)(34) cos 138
= 1156 + 1156 - 2312 c0s 138
= 4030.1508...
x = sq rt 4030.1508...
= 63.5
There are 120 different ways the people can line up
<h3>How to determine the number of ways?</h3>
The number of people that arrived is:
n = 5
Take the factorial to calculate the number of ways they can line up
n! = 5!
Expand
n! = 5* 4 * 3 * 2 * 1
Evaluate
n! = 120
Hence, there are 120 different ways the people can line up
Read more about permutation at:
brainly.com/question/11732255
#SPJ1
1.x=c-h
2.h=w/g
3.a=k+b
4.r=kw
Answer:
.
Step-by-step explanation:
Use the binomial theorem: given any variables a,b and a positive integer n, .
In this case, take
Usually, the terms on a polynomial of two variables are ordered starting with the highest power of x (x^12 in this case) and the lowest power of y. The powers of x decrease and the powers of y increase, so the last term has the highest power of y and the lowest power of x .
Then, the second term is k=1 as it has the second highest power of x, so replacing these values this term is:
.
Answer:
21600 feet
Step-by-step explanation:
There are 10800 seconds in 3 hours so multiply that by 2 and youll get 21600