Answer:
20x² - 8x + 14
General Formulas and Concepts:
<u>Algebra I</u>
Step-by-step explanation:
<u>Step 1: Define expression</u>
4x² - 7x - 24x² - 7x - 2 - (-3x - 8 - 3x - 8)
<u>Step 2: Simplify</u>
- Combine like terms (x²): -20x² - 7x - 7x - 2 - (-3x - 8 - 3x - 8)
- Combine like terms (x): -20x² - 14x - 2 - (-6x - 8 - 8)
- Combine like terms (Z): -20x² - 14x - 2 - (-6x - 16)
- Distribute negative: -20x² - 14x - 2 + 6x + 16
- Combine like terms (x): -20x² - 8x - 2 + 16
- Combine like terms (Z): -20x² - 8x + 14
Answer:
The area of the sector is 25.1327 cm²
Step-by-step explanation:
The area of a sector of circunference delimited by an angle in radians can be calculated by using the formula below:
area = (angle*r²)/2
area = [(4*pi/9)*(6)²]/2
area = [(4*pi/9)*36]/2
area = (144*pi/9)/2
area = 144*pi/18
area = 8*pi
area = 25.1327 cm²
The area of the sector is 25.1327 cm²
Answer:
Since there's no given exact measurement. I'll assume that the angle is by default 180 degrees.
If angle PQR measure 75 degrees.
then the measurement of angle SQR will be:
Angle PQR = 75
Angle SQR = 180 - 75 degrees
Angle SQR = 105 degree
Step-by-step explanation:
The number of ways to elect a Chair and a Vice Chair is 156.
<h3><u>Amount calculation</u></h3>
Given that the Board of directories has 13 members, to determine how many ways are there to elect a Chair and a Vice-Chair, the following calculation must be made:
As the rule does not affect, because in the two years that have elapsed a different election will be held, the number of ways to elect a Chair and a Vice Chair is 156.
Learn more about amount calculation in brainly.com/question/27258844
Answer:
Stan needs about 50 of the 39 cm x 39 cm tiles
or about 155 of the 18 cm x 27 cm tiles
Step-by-step explanation:
Since we are asked to consider only matters of area, we need to calculate first, the area of the patio:
Patio area = 3 m x 2.5 m = 7.5 m^2
Now we consider what surface (in square meters - m^2) each type of tiles cover:
a) for the 39 cm x 39 cm tiles: 0.39 m x 0.39 m = 0.1521 m^2
b) for the 18 cm x 27 cm tiles: 0.18 m x 0.27 m = 0.0486 m^2
Therefore, to cover the area of the patio, the number of tiles type "a" needed is given by the quotient:
7.5 m^2 / 0.1521 m^2 = 49.3096 (about 50 tiles)
while for type "b" tiles the quotient gives:
7.5 m^2 / 0.0486 m^2 = 154.32 (about 155 tiles)