Answer:
∠ XZY ≈ 23.6°
Step-by-step explanation:
Using the sine ratio in the right triangle
sin Z =
=
=
, thus
Z =
(
) ≈ 23.6° ( to 1 dec. place )
Answer:
2/21x7/5 is 14/105
Step-by-step explanation:
Answer:
2x+4
Step-by-step explanation:
Given that a is the average (arithmetic mean) of 4x and 7, b is the average of 5x and 6, and c is the average of 3x and 11
By definition of arithmetic mean,
we have 
Let us calculate sum of a,b,c in terms of x
a+b+c = 
Average = sum/3 = 
Answer:
552
Step-by-step explanation:
This is a problem of permutation which can be solved by rule of fundamental counting principle.
This principle states that if there "m" ways of doing one thing and "n" ways of doing other. Then no. of ways in which both the things can be done together is "m*n". This can be extended for m, n, p,r, s things and so on.
example: if there are 5 shirts and 3 trousers then number of ways in which the shirts and trousers can be worn is 5*3 = 15 ways.
_____________________________________________
The given problem is on similar concepts.
here 6 short stories, 4 novels, and 23 poems have to be assigned to his class.
Thus it can be done in 6*4*23 = 552 ways.
Answer:

Step-by-step explanation:
A rectangular prism's surface area is
.
2·(10·5+2·5+2·10)=160.