The house Trevor's family lives in has 6 66 people (including Trevor) and 3 33 bathrooms. In the past month, each person showere

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Triangle XYZ is an equilateral triangle, meaning the sector's central angle measures 120 degrees, which is equivalent to 2π/3 radians. To find the area of a sector corresponding to a central angle β, we use the formula A = (1/2)r²*β, where β is expressed in radians. For this sector, the area calculation is A = (1/2)*2²*(2π/3) = 4π/3 square units.

Answer:

960 individuals

Detailed explanation:

Given that each side of the basketball arena measures 20 ft by 30 ft, the area for one side would be calculated as 20ft * 30ft = 600ft².

As the arena’s four sides are all filled with people, the cumulative area will be 4*600 = 2400ft²

Each person occupies an area of 2.5ft², therefore, the total number of individuals present in the arena can be determined by dividing the total area encompassed by the four sides by the area each person occupies.

Total number of individuals in the arena = area of all four sides divided by area occupied by each person.

Total number of individuals in the arena = 2400/2.5

Thus, the result is 960 people.

Response:

Step-by-step explanation:

We create the right triangle as illustrated in the attached image.

Δ QRS

Here, R represents the right angle

Given

QR = 8

QS = 17

Using the Pythagorean Theorem, we can determine RS:

Currently, the Sine ratio is known as:

Where signifies the angle (in this case, angle Q)

The side opposite is RS (which measures 15)

While the hypotenuse is QS (which equals 17)

At this point,

This is the value of SinQ.

We don't require the angle, so we will conclude here.

Answer:

A. f(x) = 6x + 9

Step-by-step explanation:

The equation provided is:

y - 6x - 9 = 0

The requirement is to express this equation in function notation where x is the independent variable. This implies replacing y with f(x) and transferring the other components to the opposite side of the equation to achieve the desired format.

y - 6x - 9 = 0

y = 6x + 9

f(x) = 6x + 9

Thus, option A provides the correct response.