Answer:
see explanation
Step-by-step explanation:
The n th term of an AP is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
(1)
Given a₁ = 5 and a₄ =
, then
5 + 3d =
( subtract 5 from both sides )
3d = -
( divide both sides by 3 )
d = - ![\frac{1}{6}](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B6%7D)
add -
to each term
5,
,
, ![\frac{9}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B9%7D%7B2%7D)
(2)
Given a₁ = - 4 and a₆ = 6, then
- 4 + 5d = 6 ( add 4 to both sides )
5d = 10 ( divide both sides by 5 )
d = 2
Add 2 to each term
- 4, -2, 0, 2, 4, 6
(3)
Given a₂ = 38 and a₆ = - 22, then
a₁ + d = 38 → (1)
a₁ + 5d = - 22 → (2)
Subtract (1) from (2) term by term
4d = - 60 ( divide both sides by 4 )
d = - 15
Substitute d = - 15 into (1)
a₁ - 15 = 38 ( add 15 to both sides )
a₁ = 53
Thus
53, 38, 8, - 7, - 22
C {1, 9, 10, 15, 17}
Because 17 is greater than 12
Answer:
1.975 pints of white paint
Step-by-step explanation:
Let blue paint represents by 'b' and white paint represents by 'w'.
Then according to the question
b + w = 7.9 pints .......(1)
Amount of blue paint =
of the total amount
= ![\frac{3}{4}\times 7.9](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B4%7D%5Ctimes%207.9)
= 5.925 pints
Hence the amount of blue paint is 5.925 pints.
Now putting the value of 'b' in equation (1)
5.925 + w = 7.9
w = 7.9 - 5.925
w = 1.975 pints
Cathy used 1.975 pints of white paint to paint her bedroom.
Answer:
1
Step-by-step explanation:
in to three decimal places
r-value =1
Answer:
15 degrees
Step-by-step explanation:
x + 5x + 90 =180( sum angle of a triangle )
6x + 90 = 180
6x = 180 - 90
6x = 90
x = 90/6
x = 15 degrees