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2 years ago

URGENT PLZ HELP VERY VERY URGENT HELP PLEASE I BEG CORRECT ANSWER PLZ

Mathematics

1 answer:

rusak2 [61]2 years ago

6 0

Answer:

<u>Given is the piecewise function</u>

<h3>The first interval</h3>

<u>Domain:</u>

x ≤ -2

<u>The function</u>

y = 1

<h3>The second interval</h3>

<u>Domain</u>

-2 < x ≤ 0

<u>The function</u>

The slope is m = (0 - (-4))/(0 - (-2)) = 4/2 = 2
The y-intercept is 0
y = 2x

<h3>The third interval</h3>

<u>Domain</u>

x > 0

<u>The function</u>

The slope is m = (0 - 2)/(4 - 0) = - 1/2
The y-intercept is 2
y = -1/2x + 2

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A movie theater has a 24-foot-high screen located 6 feet above your eye level. If you sit x feet back from the screen, your vi

pantera1 [17]

Answer:

The viewing angles are as follows:

For x=5 feet, θ = 0.529 radians

For x=10 feet, θ = 0.708 radians

For x=15 feet, θ = 0.726 radians

For x=20 feet, θ = 0.691 radians

For x=25 feet, θ = 0.640 radians

Step-by-step explanation:

The viewing angle is given as:

θ = tan⁻¹(30/x) - tan⁻¹ (6/x)

where x is the distance between you and the screen.

The question is asking us to find the viewing angle θ at various distances. The distance value needs to be substituted in the above equation in place of x. So,

θ = tan⁻¹(30/5) - tan⁻¹ (6/5)

= 1.4056 - 0.8761

θ = 0.529 radians

<u>For x = 10 feet:</u>

θ = tan⁻¹(30/10) - tan⁻¹ (6/10)

= 1.249 - 0.540

θ = 0.708 radians

<u>For x = 15 feet:</u>

θ = tan⁻¹(30/15) - tan⁻¹ (6/15)

= 1.107 - 0.380

θ = 0.726 radians

<u>For x = 20 feet:</u>

θ = tan⁻¹(30/20) - tan⁻¹ (6/20)

= 0.983 - 0.291

θ = 0.691 radians

<u>For x = 25 feet:</u>

θ = tan⁻¹(30/25) - tan⁻¹ (6/25)

= 0.876 - 0.235

θ = 0.640 radians

5 0

2 years ago

a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in

damaskus [11]

the area of the piece of land that is not part of the garden is $28,486ft^2$ .

<u>Step-by-step explanation:</u>

Here we have , a piece of land 120 ft by 240 ft contains a circular garden. surrounding the garden, there is a circular fence that is 20 ft in diameter. We need to find what is the area of the piece of land that is not part of the garden . Let's find out:

Let's calculate area of land and circular garden , and in order to find the area of the piece of land that is not part of the garden we will subtract area of circular garden from land !

Area of Land:

Area of land is given by

⇒ $length(width)$

⇒ $120(240)$

⇒ $28,880ft^2$

Area of Garden:

Area of circular garden given by

⇒ $\pi r^2$

⇒ $\pi (\frac{D}{2})^2$

⇒ $\pi (\frac{20}{2})^2$

⇒ $\pi (10)^2$

⇒ $100\pi$

⇒ $100(3.14)$

⇒ $314ft^2$

Hence , the area of the piece of land that is not part of the garden is 28,880-314 = 28,486 . Therefore , the area of the piece of land that is not part of the garden is $28,486ft^2$ .

8 0

2 years ago

9-3 divided by 4+2•12+6 divided by 2•3

Dimas [21]

Answer:

1/34

Step-by-step explanation:

9-3= 6

(4+2x12+6)=34

6/34= 3/17 which is .1764......

3/17 divide by (2x3)= 1/34

6 0

3 years ago

Read 2 more answers

Two phone companies, Unitel and Cellberry, offer different cell phone data plans. Unitel's plan charges $19.95 per month and $14

scoundrel [369]

For The First Question a Part Do You Need a Graph ?

6 0

2 years ago

Seema deposited $800 in a saving account earning 2.88% compounded annually. To the nearest cent, how much will she have in 16 ye

ehidna [41]

Answer:

1260.04

Step-by-step explanation:

The formula for compound interest is:

A = P(1+ $\frac{r}{n}$ $)^{nt}$ where A is the final amount, P is the initial principal balance, r is the interest rate, n is the number of times interest applied per time period and t is the number of time periods elapsed. Since the deposit was compounded annually, just like the interest, we can omit the n in the equation.

Applying the formula to question:

800(1+ $\frac{2.88}{100}$ $)^{16}$ = 1260.04 (rounded off to nearest cent since it's money)

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3 years ago