Answer:
A= 320 and B = 280
Step-by-step explanation:
- Amount of sodium from first material = 0.15*A
- Amount of sodium from second material = 0.3*B
Now, if we combine the two chemicals to get a new chemical, which is 22% sodium, then the total amount of combined sodium is amount of sodium from both sources
<=> 0.15A + 0.3B = 0.22*(A+B)
<=> 0.07A - 0.08B = 0 (1)
- But we have a second equation, because we know that A + B = 600 (2)
Solve the system of two equations, (1) and (2), we have:
A= 320 and B = 280
Answer:
<em>x=74.73°</em>
Step-by-step explanation:
<u>Law of cosines</u>
In a general triangle, the law of cosines relates the lengths of the sides of the triangle to the cosine of one of its angles.
The law of cosine is expressed as:

Where a and b are the lengths of two sides of the triangle, x is the angle contained between them, and c is the other side length.
If all side lengths are known, we can solve the above equation for the angle x:

From the image, we must select a and b as the sides adjacent to angle x in any order. Thus a=17, b=22, c=24. Substituting:

Operating:


Using a scientific calculator:
x=74.73°
Answer:
$928
Step-by-step explanation:
23200/100 = 232
232 * 4 = 928
Answer:
FIFTY - FIVE THOUSAND FIVE HUNDRED AND FIFTY-FIVE
Step-by-step explanation:
Y = 4
y intercept is 4
The line would be horizontal and it would intersect the y axis at the point (0,4)