Answer:
1) 1023
2) 8
Step-by-step explanation:
1)
Given:
and 
Then, the next table can be computed (only the first terms are explicitely shown)
n 
1 1
2
3
3
7
4 15
5 31
6 63
7 127
8 255
9 511
10 1023
2)
Given

Then, the next table can be computed
n 
1
-1
2
0
3
3
4
8
Answer:
x = 11.25
Step-by-step explanation:
Two adjacent angles on a line are supplementary.
That means their measures add to 180°.
Add the measures of angle 1 and angle 2 and set the sum equal to 180.
Then solve for x.
m<1 + m<2 = 180°
x + 15x = 180
16x = 180
x = 11.25
Answer:
a=−2
Step-by-step explanation:
Let's solve your equation step-by-step.
3a−6=−12
Step 1: Add 6 to both sides.
3a−6+6=−12+6
3a=−6
Step 2: Divide both sides by 3.
3a
/3
=
−6
/3
a=−2
Answer: Surface area = 392 in²
Step-by-step explanation:
It is divided into different sections as shown in the attached photo to aid explanation.
Looking at the attached photo
Area of A = 6 × 6 = 36 in²
Area of B = 4 × 10 = 40 in²
Area of the face containing A and B = 36 + 40 = 76 in²
Since the face is the same on the opposite end,
Area of the opposite end of AB = 76 in²
Area o C = 6 × 4 = 24 in²
Area of D = 6 × 6 = 36 in²
Area of E = 6 × 6 = 36 in²
Area of F = 6 × 4 = 24 in²
Area of base G = 10 × 6 = 60 in²
Area of back H = 6 × 10 = 60 in²
The surface area is the sum of all the faces of the given solid.
Therefore,
Surface area = 76 + 76 + 24 + 36 + 36 + 24 + 60 + 60 = 392 square inches