Answer:
- diagram is below
- 6, 11, 16, 21
- s[n] = s[n-1] +5
- 26, 31, 36
Step-by-step explanation:
a) See below for the next diagram in sequence.
__
b) The numbers of straws in each diagram are ...
6, 11, 16, 21, ...
__
c) Each term is 5 more than the previous one, so the recursive rule for the number of straws is ...
s[1] = 6
s[n] = s[n-1] +5
__
d) The next three terms of the sequence are ...
..., 26, 31, 36, ...
Answer:
(x^2+y)x^3 y^5
Step-by-step explanation:
(x^2 + y)x^4 y^3 / x y^2
(x^2 + y)x^4 - 1 y^3 * y^2
(x^2 + 7)x^3 y^3 * y^2
(x^2 + y)x^3 y^3 +^2
(x^2 + y)x^3 y^5
The common ratio between terms is 3, so the sequence has general 
-th term
for 
. The term exceeds 7000 when
which means the first time 
exceeds 7000 occurs when 
. Indeed,
while the previous term would have been
Answer:
38.7°
Step-by-step explanation:
We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where
SOA stands for
Sin Ф = opposite side/hypotenuses side
CAH stands for
Cosine Ф = adjacent side/hypotenuses side
TOA stands for
Tangent Ф = opposite side/adjacent side
The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.
Considering the triangle with respect to angle x, 8cm is the opposite side, 10cm is the adjacent side
hence
Tan x = 8/10
Tan x = 0.8
x = tan -1 0.8
= 38.7°
I think the mean of variable a is 4
