Answer:
The second option is the correct answer
The sequence is : 0, -1, -6, -31, -156
Step-by-step explanation:
It is given that,
The recursive formula , an = 5a(n-1) - 1 and a1 = 0
<u>To find a2, a3, a4, a5
</u>
a2 = 5a1 -1 = 5x0 - 1 = -1
a3 = 5a2 - 1 = (5x -1 ) - 1 = - 5 - 1 = -6
a4 = 5a3 - 1 =(5x -6) - 1 = -30 - 1= -31
a5 = 5a4 - 1 = (5 x -31 ) - 1 = -155 -1 = -156
Therefore the resulting sequence is
0, -1, -6, -31 ,-156
Answer:
A. 55°
Step-by-step explanation:
Complementary angles are angles that add up to give us 90°.
Since <A and <B are complementary angles, it implies that:
m<A + m<B = 90°
If m<A = 35°, therefore:
35° + m<B = 90°
Subtract 35° from each side
m<B = 90° - 35°
m<B = 55°
Answer:
394.9 cm
Step-by-step explanation:
The formula for a cone's surface area is A = π r ( r + √r^2 + h^2 ).
r = radius
h = height
The Pythagorean theorem, a^2 + b^2 = c^2, will be needed to find the height.
Plug in the values.
a(unknown)^2 + 6^2 = 15^2
A + 36 = 255
255 - 36 = 189
√189 ≈ 13.7
Surface area formula, plug in the values.
A = 3.14 × 6 ( 6 + √6^2 + 13.7^2 )
*PEMDAS*
A = 3.14 × 6 ( 6 + √36 + 187.69 )
A = 3.14 × 6 ( 6 + √223.69 )
A = 3.14 × 6 ( 6 + 14.95 )
A = 3.14 × 6 ( 20.96 )
A = 3.14 × 125.76
A = 394.8864
*round to nearest tenth*
A = 394.9 cm
Hope this helps! :)
Yesterday.
Exp: if you make the denominators equal, 5/6 becomes 10/12 which is more than 7/12
