Answer: the term number is 38
Step-by-step explanation:
Let the number of the term be x
The value of the xth term = 488
In an arithmetic sequence, the terms differ by a common difference, d. This means that the difference between two consecutive terms, d is constant.
The formula for the nth term is
Tn = a + (n-1)d
Where
Tn = the nth term of the arithmetic sequence
a = the first term of the arithmetic sequence.
d = common difference.
From the information given,
a = 7
d = 13
We are looking for the xth term.
Tx = 488 = 7 + (x-1)13
488 = 7 + 13x - 13
Collecting like terms on the left hand side and right hand side of the equation,
13x = 488 -7 + 13
13x = 494
x = 38
The value of the 38th term is 488.
Answer:
603.2 meters
Step-by-step explanation:
circle - the outside of the walk in this case. This circle has a
diameter of 22 + 8 m, therefore a radius of 15m. The inner circle
has a diameter of 22m - as given - a radius of 11m.
You subtract the area of the inner circle from that of the larger circle.
Answer:
the 3rd one. the rest are randomized.
Step-by-step explanation:
Answer:
(2,3)
Step-by-step explanation:
Rotation through 90 clockwise gives the expression
<em>(</em><em> </em><em>x</em><em> </em><em>,</em><em> </em><em>y</em><em> </em><em>)</em><em>_</em><em>_</em><em>_</em><em> </em><em>(</em><em> </em><em>y</em><em> </em><em>,</em><em>-</em><em> </em><em>x</em><em> </em><em>)</em>
<em>so</em><em> </em><em>whe</em><em>n</em><em> </em><em>you</em><em> </em><em>pu</em><em>t</em><em> </em><em>the</em><em> </em><em>poin</em><em>ts</em><em> </em><em>-</em><em>3</em><em> </em><em>,</em><em>2</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>relat</em><em>ion </em><em>,</em><em> </em><em>it</em><em> </em><em>becom</em><em>es</em>
( -3 , 2 ) ___ ( 2, - -3 )
= ( x, y ) __ ( 2, 3 ). meaning when you rotate -3,2 through 90 clockwise you will get the image ( 2 ,3 )
