The arithmetic sequence is an=a1+(n-1)d.
For number 1 it would be an=6+5n-5 or an=5n+1.
For number 2, the next two terms would be 28 and 33.
Hope this helps you!
Answer:
12(1/4)
Step-by-step explanation:
5(1/2)+6(3/4)
Change to common denominator,
5(2/4)+6(3/4)
5+6=11 and (2/4) + (3/4) = 1 (1/4)
11 + 1 (1/4)= 12 (1/4)
Answer:
taking the square root of both sides of the equation
Step-by-step explanation:
I didnt do it sorry
Here's what you need to know in order to answer this:
1 gallon = 128 fl oz
and
1 day = 24 hours.
Use those facts to invent fractions equal to ' 1 '.
Then use those to change the units of the "11 fl oz per hour".
You can multiply them ... since their value is ' 1 ', they won't
change the value of the "11 fl oz per hour", only the units.
(11 fl oz/hr) x (24 hr/da) x (1 gal / 128 fl oz)
= (11 x 24 x 1 / 128) (fl-oz - hr - gal) / (hr - da - fl-oz)
= 2.0625 gal/da
9514 1404 393
Answer:
a) yes; 12/15/17 ~ 20/25/x; SAS
b) x = 28 1/3
Step-by-step explanation:
The left-side segments are in the ratio ...
top : bottom = 12 : 8 = 3 : 2
The right side segments are in the ratio ...
top : bottom = 15 : 10 = 3 : 2
These are the same ratio, and the angle at the peak is the same in both triangles, so the triangles are similar by the SAS postulate.
Normally, a similarity statement would identify the triangles by the labels on their vertices. Here, there are no such labels, so we choose to write the statement in terms of the side lengths, shortest to longest:
12/15/17 ~ 20/25/x
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The sides of similar triangles are proportional, so the ratio of longest to shortest sides will be the same in the two triangles. In the smaller triangle, the longest side is 17/12 times the length of the shortest side. The value of x will be 17/12 times the length of the shortest side in the larger triangle:
x = 17/12 · 20 = 340/12
x = 28 1/3