Answer:
3 sets.
1 7 10
2 7 9
3 7 8.
Step-by-step explanation:
The sum must be 18 ( 3*6) and 7 is the middle number ( the median).
So the first and last numbers must add up to 11 with the first number less than 7. As there is no mode no number can be repeated.
So one set is 3 7 8 (the first number can't be 4 as the last number would have to be 7)
Others are 2 7 9,
1 7 10.
Tax=2.5+6+1=9.5
deluxe=38.75x1.095=42.43125
fc atlas=41.10x1.095=45.0045
total purchase price=87.43576
rounded=87.44
Answer:
x = 111°
Step-by-step explanation:
We know that angles in a triangle add up to 180°
Step 1: Find angle supplementary to <em>x</em>
82 + 29 + x = 180
111 + x = 180
x = 69°
Step 2: Find angle <em>x</em>
Both the angles are supplementary, meaning they add up to 180°.
x + 69 = 180
x = 111°
Answer:
4÷7=0.57142857
Step-by-step explanation:
nearest thousandths...
0.517
in decimals... we start in the tenths, hundredths then thousandths.
First of all, this problem is properly done with the Law of Cosines, which tells us
giving us a quadratic equation for b we can solve. But let's do it with the Law of Sines as asked.
We have c,a,A so the Law of Sines gives us sin C
There are two possible triangle angles with this sine, supplementary angles, one acute, one obtuse:
Both of these make a valid triangle with A=20°. They give respective B's:
So we get two possibilities for b:
Answer: 2.3 units and 7.8 units
Let's check it with the Law of Cosines:
There's a shortcut for the quadratic formula when the middle term is 'even.'
Looks good.
