Answer:
13:5, or 13 to 5.
Step-by-step explanation:
The 13-to-5 expression can be useful when answering questions about the ratio.
Figure 1,
When 1 unit = 1 cm
Perimeter = Boundary of the figure
= 3+3+6
= 12 cm
Area of one square = side * side
= 1*1
No. of squares in the figure = 6 squares
Area = Space occupied inside the figure
= 6 cm^2
Hope it helped :)
Answer:
Volume = 11 1/4 feet cubed
90 cubes can be added to fill the prism.
Step-by-step explanation:
(L)(W)(H) = volume
(2 1/2)(3)(1 1/2) = 11 1/4 ft cubed
1 cube is 1/2 a foot so 2 1/2 ft is 5 cubes, 3 ft is 6 cubes, and 1 1/2 ft is 3 cubes.
(5)(6)(3) = 90 cubes
Answer:
an = 115 + (n - 1) (-6)
a25 = - 29
Step-by-step explanation:
We use the definition for the nth term of an arithmetic sequence:
an = a1 + (n - 1) d
a5 = 91 = a1 + (5 - 1) d
91 = a1 + 4 d
a20 = 1 = a1 + (20 - 1) d = a1 + 19 d
1 = a1 + 19 d
now we subtract term by term one expression from the other
90 = 4 d - 19 d
90 = - 15 d
divide both sides by -15 to isolate d
d = 90 / (-15) = -6
Now we can calculate what a1 is using for example:
1 = a1 + 19 d
1 = a1 - 114
add 114 to both sides:
115 = a1
Then our general expression for the sequence is:
an = 115 + (n - 1) (-6)
We can now use it to calculate the value of a25:
a25 = 115 + (24) * (-6) = -29
