The third term is 9
t(3)=2(3)+3
6+3 = 9
Answer:
B. 7.9 in^2
Step-by-step explanation:
Part I.
Finding the fraction of the circle that is the sector
To start, let’s find the fraction of the circle that the sector covers. Since the measure of the central angle is 36, we get 36/360 or 1/10 of the circle.
Part II.
Finding the area of the Circle
The area of a circle is pi*r^2. Since r=5, then the area is 25pi.
Part III.
Finding the area of the sector.
Since the sector is 1/10 of the circle, its area is 1/10 of the circle’s area. So the area of the sector is 25/10*pi or (5/2)pi. This is approximately 7.9 in^2.
Answer:
x = -6
Step-by-step explanation:
Simplifying
3(1.5x + 9) = 0
Reorder the terms:
3(9 + 1.5x) = 0
(9 * 3 + 1.5x * 3) = 0
(27 + 4.5x) = 0
Solving
27 + 4.5x = 0
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Add '-27' to each side of the equation.
27 + -27 + 4.5x = 0 + -27
Combine like terms: 27 + -27 = 0
0 + 4.5x = 0 + -27
4.5x = 0 + -27
Combine like terms: 0 + -27 = -27
4.5x = -27
Divide each side by '4.5'.
x = -6
Simplifying
x = -6
The unknown scale factor above is calculated by dividing the true value of the length of the banner by the length in the photograph. If we take the first dimension that is 8 inches only in photograph but 12 feet in the banner.
scale factor = (12 ft)(12 inches/ 1 ft) ÷ 8 inches
scale factor = 18
Therefore, the scale factor is 18:1. The answer to this item is letter D.
Answer: -6 2/3, square root of 36, 6.4..., 71/11
Step-by-step explanation:
Turn the fractions into decimals for more understanding and solve for the square root of 36, 6.4... stays the same