Answer:
The angle W is approximately 7°.
Step-by-step explanation:
Since angle X is adjacent to sides y and w and opposite to side x, we calculate the length of side x by Law of the Cosine:
(1)
Where:
- Side lengths, in centimeters.
- Angle, in sexagesimal degrees.
If we know that 
, 
and 
, then the length of the side x is:
By Geometry we know that sum of internal angles in a triangle equals 180°. If X is an obtuse, then Y and W are both acute angles. By Law of the Sine we find angle W:
(2)
![W = \sin^{-1}\left[\left(\frac{w}{x} \right)\cdot \sin X\right]](https://tex.z-dn.net/?f=W%20%3D%20%5Csin%5E%7B-1%7D%5Cleft%5B%5Cleft%28%5Cfrac%7Bw%7D%7Bx%7D%20%5Cright%29%5Ccdot%20%5Csin%20X%5Cright%5D)
If we know that , and , then the angle W is:
Hence, the angle W is approximately 7°.
The answer is 20 because 292+20=312
Step-by-step explanation:
The expression for he earning of Allison and her allowance is as follows :
15x+100y
Part A
Variables are x and y. Coefficients are 15 and 100.
Part (B)
There are two terms in this expression. + is used to separate the terms. 15x and 100y are the terms.
Part (C) As $15 shows her earning from allowances. Hence, 15x shows allowance.
Answer: 8 quarters 19 dimes
Step-by-step explanation:
we already know 8+19=27, if 4 quarters equals a dollar then you use 4 quarters each to create 2 dollars.
then, use 10 dimes to create another dollar summing it up to $3. now all we have to do is make 90 cents, and we've already used 18 coins.
if we used another 9 dimes, that would equal 90 cents.
in conclusion, 4+4= 8
8+10= 18
18+9= 27, and having $3.90
-11.2 + 4(2.1 + q) = -0.8
-11.2 + 8.4 + 4q = -0.8
4q = -0.8 + 11.2 - 8.4
4q = 2
q = 1/2 Answer
3x = -9
x = -9 / 3
x = -3 Answer
