Answer & Step-by-step explanation:
In order to solve this problem, it's important that we look at the tiles and the the signs that are in front of them. The top row of tiles represents our first expression and the bottom row of tiles represents our second equation.
The two large tiles are positive so they are going to be positive in our equation.
(x² ) - (-x² )
The four blue rectangle tiles are also positive, so they are going to be positive in our equation. The two red rectangle tiles are negative, so they are going to be negative in out equation.
(x² + 4x) - (-x² + 2x)
The two red square tiles are negative, so they are going to be negative in our equation. The four blue square tiles are positive, so they are going to be positive in our equation.
(x² + 4x - 2) - (-x² + 2x - 4)
So, your answer is going to be letter choice C.
Answer: 23 degrees
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Explanation:
Using the inscribed angle theorem we can connect the central angle ABC and the inscribed angle ADC. The reason why is because they both cut off the minor arc AC
Angle ABC is given to be 46 degrees, the formula we use is shown below
central angle = 2*(inscribed angle)
angle ABC = 2*(angle ADC)
46 = 2*(angle ADC)
46/2 = 2*(angle ADC)/2 ... divide both sides by 2
23 = angle ADC
angle ADC = 23 degrees
Answer:
P(x)=0.025x+100
Step-by-step explanation:
The 0.025 is 2.5% as a decimal. Then, the +100 is for the base pay amount Hailey receives.
The pool can hold 65.84 ft³ of water
<u>Explanation:</u>
Given:
Shape of pool = octagonal
Base area of the pool = 22 ft²
Depth of the pool = 3 feet
Volume, V = ?
We know:
Area of octagon = 2 ( 1 + √2) a²
22 ft² = 2 ( 1 + √2 ) a²

a² = 
a² = 4.55
a = 2.132 ft
Side length of the octagon is 2.132 ft
We know:
Volume of octagon = 

Therefore, the pool can hold 65.84 ft³ of water