C
given x² + 16x = 41
to complete the square on this equation
since the coefficient of the x² term is 1
add (half the coefficient of the x-term )² to both sides
x² + 2(8)x + 64 = 41+ 64
(x + 8 )² = 105 → C
Answer:
Step-by-step explanation:
<u>Given:</u>
- The base is a pentagon
- The faces are triangles
<u>According the the given, the figure is a pentagonal pyramid, because:</u>
- It has 5-sides base and triangle faces
- Prizm has rectangle faces
- Hexagon is 6- sides
- Square is 4- sided
Correct choice is B
Answer:
4.09
Step-by-step explanation:
4.09 is your answer because all you need to do is add 3.34 and 0.75.
0.75 + 3.34 = 4.09
Answer:
Equation: y = 1.5x + 8, where y = total cost and represents the dependent variable and x = the number of miles and represents the independent variable.
Step-by-step explanation:
The relationship between the total cost and the number of miles driven is a linear equation. That means that the rate of change is the same regardless of the number of miles driven. After the initial flat fee of $8, the rate is $1.50 per mile. So, in order to calculate the total cost of the trip, you will need to multiply the rate ($1.50) by the number of miles and then add the initial fee of $8. In this relationship, the total cost ('y') is the dependent variable, because it is dependent on the number of miles driven. The number of miles ('x') is independent because it is the cause of the total.
Answer:
(b) 19.6 square feet
Step-by-step explanation:
The area of a circle is given by the formula ...
A = πr²
If the diameter is 5 feet, the radius is 2.5 feet, so the area is ...
A = (3.14)(2.5 ft)² ≈ 19.625 ft² ≈ 19.6 ft²
The area of a base circle is about 19.6 square feet.
