The measure of the side
is approximately 33 and the measure of angle
is approximately 12.321°.
<h3>How to find a missing angle in a triangle by law of sine and law of cosine</h3>
In this problem we must apply the law of cosine and the law of sine to determine the angle Y:
<h3>Law of cosine</h3>



<h3>Law of sine</h3>




The measure of the side
is approximately 33 and the measure of angle
is approximately 12.321°. 
To learn more on triangles, we kindly invite to check this verified question: brainly.com/question/25813512
Rewrite as (2^1/2 + 2^1/2)*(18^1/2-2^1/2) = 8
Answer:
1, 2, 4
Step-by-step explanation:
- 4 1/12·2 2/3 = 49/12·11/4 = 49/12·33/12 = 1617/144 = 11 11/48 Good
- 2 1/5·6 1/4 = 11/5·25/4 = 44/20·125/20 = 5500/400 = 13 3/4 Good
- 1 1/2·3 1/5 = 3/2·16/5 = 15/10·32/10 = 480/100 = 4.8 Doesn't Work
- 3/4·8 1/5 = 3/4·41/5 = 15/20·164/20 = 2460/400 = 6 3/20 Good
- 5 1/2·5 = 11/2·5 = 55/2 = 27 1/2 Doesn't Work
(Note: Division of big numbers should be done by simplification, although not shown here.)
Answer:
DC = 2
Step-by-step explanation:
The wrong equation was used.
The right equation to use based on the midsegment theorem of a trapezoid is:
MN = ½(AB + DC)
MN = 8
AB = 14
Substitute
8 = ½(14 + DC)
Multiply both sides by 2
8*2 = ½(14 + DC)*2
2*8 = 14 + DC
16 = 14 + DC
16 - 14 = 14 + DC - 14
2 = DC
DC = 2
Answer:
90 g of water should be added and he will make 900 g of solution.
Step-by-step explanation:
Let x g be the amount of salt Ilya add to 810g of water to make 10% solution. Then 810+x g is the amount of new solution. Thus,
810+x - 100%,
x - 10%.
Mathematically,

So 90 g of water should be added and he will make 810+90=900 g of solution.