Answer:
a)
b)
Step-by-step explanation:
Polar coordinates are represented as: , where 'r' is the length (or magnitude) of the line, and '' is the angle measured from the positive x-axis.
in our case:
to covert the polar to cartesian:
we can plug in our values:
the Cartesian coordinates are:
(b) to convert (x,y) = (6.06,-3.5)
we'll use the pythagoras theorem to find 'r'
the angle can be found by:
to convert radians to degrees:
writing in polar coordinates:
Answer:
25.
Step-by-step explanation:
I am assuming you only mean the small triangles, not the composite ones.
The second triangle set has 3 triangles on bottom row and 1 on the top - total 4.
The 3rd triangle set has 5 triangles on the bottom , 3 on the next up and 1 on the top - total 9
Following the pattern 4th set will have the number of triaNGLES
7 + 5 + 3 + 1 = 16.
So the 5th will have 9 + 7 + 5 + 3 +1 = 25 triangles.
Answer:
<u>u ≤ -6</u>
Step-by-step explanation:
Given :
Add 2 on both sides :
- 22 + 2 ≤ -4u - 2 + 2
- -4u ≥ 24
Divide both sides by -4 (remember the sign changes direction when divided by a negative number) :
- -4u/-4 ≥ 24/-4
- <u>u ≤ -6</u>
4.4 .
there is 5280 feet per mile. Meaning there is 15840 feet in three miles. Divide 15840 feet by 60(number of minutes in an hour and you get 264 , which is how many feet per minute. Divide 264 by 60(number of seconds in a minute) and you get 4.4, the number of feet per second