Answer:
a₄₂ = 107
Step-by-step explanation:
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Given a₂₇ = 66 , then
a₁ + 26d = 66 , that is
- 12 + 26d = 66 ( add 12 to both sides )
26d = 78 ( divide both sides by 26 )
d = 3
Then
a₄₂ = - 16 + (41 × 3) = - 12 + 123 = 111
Answer:
The Math Club must sell at least 50 pies to reach the goal
The graph in the attached figure
Step-by-step explanation:
Let
x-----> the number of sold pies
we know that
The inequality that represent the situation is
Solve for x
Divide by 4 both sides
The solution is the interval ------> [50,∞)
All positive whole numbers greater than or equal to 50
In a number line the solution is the shaded area at right of x=50 (close circle)
The Math Club must sell at least 50 pies to reach the goal
using a graphing tool
see the attached figure
The total surface area of any given net of a rectangular prism = area of each rectangular face.
<h3>What is the Total Surface Area of a Rectangular Prism?</h3>If we are given the net of a rectangular prism, the total surface area of the rectangular prism is the area of each rectangular face all summed together.
The image of the net of the rectangular prism is missing, however, let's assume the image attached below is the net of the prism.
Therefore, the total surface area of the rectangular prism = area of each rectangular face = 20 + 8 + 40 + 8 + 20 + 40 = 96 cm².
Learn more about the rectangular prism on:
