$193.50
start by multiplying 240 by .25 (25%) to find out how much is 25% of 240. this equals 60.
then, subtract $60 from $240. equals 180.
next, to add the sales tax, multiply 180 by 0.075 (7.5%) this is $13.50.
lastly, add the tax, which is $13.50, to the suit's sale price, which is $180.
180+13.5= $193.50
The area of the entire sector of DEF = 60 / 360 * PI * radius^2
sector area = 1 / 6 * 3.14159265... * 20^2
sector area =
<span>
<span>
<span>
209.4395102393
</span>
</span>
</span>
segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412
</span>
</span>
</span>
triangle DEF Area =
<span>
<span>
<span>
173.206
</span>
</span>
</span>
segment area = <span>
<span>
209.4395102393
</span>
-173.206
</span>
segment area =
<span>
<span>
<span>
36.2335102393
</span>
</span>
</span>
segment area =
36.23 m
Source:
http://www.1728.org/circsect.htm
Using the slope concept, it is found that the distance from point A to point B is of 887 feet.
<h3>What is a slope?</h3>
The slope is given by the <u>vertical change divided by the horizontal change</u>.
It's also the tangent of the angle of depression.
In this problem, the vertical change is of 126 feet.
At point A, the angle is of 6º, while the horizontal position is of 
, hence:
At point B, the angle is of 22º, while the horizontal position is of 
, hence:
Hence, the distance in feet is of:
More can be learned about the slope concept at brainly.com/question/18090623
Answer:
a. Parallel
b. Not parallel
Step-by-step explanation:
Systems which have no solutions are parallel lines. These lines do not intersect and therefore have no solution. Remember, parallel lines have the same slope. Compare the slope in each equation when in y=mx+b format to see if they are parallel.
a. y= 2x + 3 y-2x=-3 becomes y = 2x - 3
m = 2 m= 2
The slopes are the same so these are parallel lines.
b. 3x + y = 2 becomes y= -3x + 2 y = 1/3 x + 1/2
m = -3 m= 1/3
The slopes are different so this is not parallel.
Since -3 and 1/3 are the negative reciprocals of each other. These lines are actually perpendicular.
Answer:
4,500
Step-by-step explanation:
150 x 30
15 x 3 = 45, add 2 0's at end, 4,500
