Answer:
The answer is "25".
Step-by-step explanation:
Please find the graph in the attachment.
Calculating the triangle two other sides:
let
Answer:
V = 381 in³
Step-by-step explanation:
The figure is composed of a rectangular prism and a triangular prism.
The volume (V) of the complete figure is
V = volume of rectangular prism + volume of triangular prism
= (16 × 7 × 3 ) + ( × 3 × 5 × 6 )
= 336 + 45
= 381 in³
Answer:
740
Step-by-step explanation:
The n th term of an arithmetic series is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₃ = 7 and a₇ = (3 × 7) + 2 = 21 + 2 = 23 , then
a₁ + 2d = 7 → (1)
a₁ + 6d = 23 → (2)
Subtract (1) from (2) term by term
4d = 16 ( divide both sides by 4 )
d = 4
Substitute d = 4 into (1)
a₁ + 2(4) = 7
a₁ + 8 = 7 ( subtract 8 from both sides )
a₁ = - 1
The sum to n terms of an arithmetic series is
= [ 2a₁ + (n - 1)d ] , thus
= [ (2 × - 1) + (19 × 4) ]
= 10(- 2 + 76) = 10 × 74 = 740
Answer:
-3 is the answer.
Step-by-step explanation:
=2(-1+3)-7
=2(2)-7
=4-7
=-3
Hope it will help you :)