They are adjacent. x=15 because you do 2x+4x=90 which simplifies to 6x=90 then you divide both by 6 and get your answer
Area of circle=pi times radius^2
given:
pi=3.14
diameter=16
solve for radius
diameter=2r
d=2r
divid
16=2r
divide 2
8=r
subsitute
pi=3.14
r=8
area=3.14 times 8^2
area=3.14 times 64
area=200.96 square units
Each of the problems asks you to a similar idea: get a common denominator with the fractions and then subtract.
Problem 1: 28 3/8 - 19 5/6
The factors of 8 are 2, 2, and 2. The factors of 6 are 2 and 3. We take one two that's repeated, two more twos from 8, and a 3 for the common denominator. So, 2 * 2 * 2 * 3 = 24 is the lowest common denominator (LCD).
Now change the fractions to the common denominators
3/8 = ? / 24 We go from 8 to 24 multiplying by 3, so 3 multiplied by 3 is 9.
5/6 = ? / 24 We go from 6 to 24 multipling by 4, so 5 multiplied by 4 is 20.
Then,
28 3/8 - 19 5/6
= 28 9/24 - 19 20/24 <----use common denominators
= 27 33/24 - 19 20/24 <--- borrow from the whole number
= 8 13/24 <---- subtract whole numbers and fraction numerators
Problem 2 works similarly to problem 1, with an LCD of 15.
18 2/5 - 9 13/15
= 18 6/15 - 9 13/15
= 17 21/15 - 9 13/15
= 8 8/15
Thus the differences are 8 13/24 (1st) and 8 8/15 (2nd).
<h3>
Answer: (2,0)</h3>
Explanation:
The vector (0,2) points directly north and the length of this vector is 2 units. It's the distance from (0,0) to (0,2).
When rotating 270 degrees counterclockwise, we'll turn to the left or westward direction (90 degrees so far) then at some point aim directly south (180 degrees so far) and finally ultimately end up pointing directly east (after getting to 270). So that's how we go from (0,2) to (2,0).
If you were to go clockwise, then everything flips and you'll ultimately end up pointing directly west. The length of the vector stays the same the whole time.
Answer:
3 years
Step-by-step explanation:
By simple interest formula:
