Answer:
$900.10
Step-by-step explanation:
15 percent of 999.99 = $849.15
(999 x 15)/100 = $149.85
849.15 with 6 percent sales tax is 900.10
Answer:
9x+14y
Step-by-step explanation:
First Multiply the number outside of the brackets with the numbers inside the brackets. Ex:3 x 3x and 3 x -y
17y-2x+3(3x-y)+2x
That should get you to this.
17y-2x+9x-3y+2x
Next combine like terms.
14y+9x
Hope this helps!
The fence is 210 ft long.
There is a post every 3.5 ft.
If you divide 210 ft by 3.5 ft, you get the number of spaces between posts.
(210 ft)/(3.5 ft) = 60
The fence starts with a post. Then there is 3.5 ft of fencing. Then there is another post. Then there is another 3.5 ft of fencing followed by a post. In total there are 61 posts.
Here's another way of thinking of why you end up with 60 posts.
For each 3.5 ft of fencing, you place a post at the end of the fencing.
Since there are 60 3.5-ft-long pieces of fencing, there will be 60 posts, one at the end of each piece of fencing. The first thing that is done is to put the initial post before any fencing is put up. The first post plus 60 more posts add up to 61 posts.
Now that you see why there are 61 posts, we can calculate their cost.
61 * $8.50 = $518.50
Y = mx + b
M= your slope or rise over run
B = your y-intercept
For example if the rise was 5 and the run is 6, the equation would say
y = 5/6 + b
The / being your fraction bar
The y-intercept is where your line crosses the y-axis
So say that the line crosses the y-axis at 10
y = 5/6 + 10
That about sums it all up!
We know that
The arrangement forms an isosceles triangle with equal legs of 8 miles.
The angle between the legs is equal to

°
Therefore, the other two angles are
Angles = (180-60)/2 = 120/2 = 60°
It can, therefore, be noted that all angles are equal and thus the resulting triangle is actually an equilateral triangle and thus all the sides are equal.
Hence
the answer is
the distance between the two ships is 8 miles apart
alternative Method
Applying the law of cosines
<span>c²=a²+b²-2*a*b*cos C
</span>where
a=8 miles
b=8 miles
C is the angle between the legs-------> 123-63------> 60 degrees
c is the distance between the two ships
so
c²=8²+8²-2*8*8*cos 60------> c²=64-------> c=√64------> c=8 miles