Check the picture below.
so.. notice, the box for the gift is really just a rectangular prism, which is really just 6 rectangles stacked up to each other at the edges.
the front and back are two 5x3 rectangles
the left and right are just two 3x7 rectangles
and the top and bottom are just two 5x7 rectangles
so, just get the area of each, sum them up, and that's the area of the rectangular prism and thus of the box, and that's how many in² she will need.
Answer: OPTION B.
Step-by-step explanation:
Given the endpoints of the diameter of the circle, we need to find the midpoint, which is the center of the circle.
The following formula is used to calculate the Midpoint:

Given the endpoints of the diameter of the circle:

We can identify that:

Then, we can substitute these values into the formula:

Therefore, the center of the circle is: 
Answer:
56°
Step-by-step explanation:
Since triangle ABD and triangle CBD are congruent (SAS), so you can divide m∠ABC by 2 to get the m∠ABD and m∠CBD, or 56°.
The first term of this series (a+1) is 1 and the common ratio (r) is -3.
Thus, the explicit formula is a_n = 1*(-3)^(n-1).
Must check this! suppose we try to calculate the 3rd term. Then n = 3.
a_3 = 1*(-3)^(3-1) = (-3)^2 = 9. This is correct.
Answer:
It takes 50 minutes to paint the whole box
Step-by-step explanation:
1. Write an equation using equal fractions to represent this situation. Use a box to represent the total time it takes to paint the bookcase.
Wilson paints 40% of a bookcase in 20 minutes.
For the total box
40% = 20 minutes
100% = x
40 × x = 100 × 20
x = 100 × 20/40
x = 50 minutes