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3 years ago

It says to calculate the area of the sector and t round to the nearest hundredth and to use 3.14 for Pi

Mathematics

1 answer:

fenix001 [56]3 years ago

5 0

Answer:

Step-by-step explanation:

The formula for the area of a sector is

$A=\frac{\theta}{360}*\pi r^2$ where theta is the measure of the central angle (which is the same measure as that of the arc that is intercepted by the 2 radii formig the angle), and r is the radius.

For us, theta is 90 degrees and r is 20. Filling in the formula:

$A=\frac{90}{360}*(3.14)(20)^2$ which simplifies down a bit to

$A=\frac{1256}{4}$ so

A = 314 m squared

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Describe the 2 transformations that occur when the graph of f(x) =x −−√ is transformed to the graph of g(x) = 2x√ +3 .

Flauer [41]

Answer:

Dilation followed by Translation.

Step-by-step explanation:

We have the function $f(x)=\sqrt{x}$ .

The new transformed function is $g(x)=2\sqrt{x}+3$

Now, the transformation applied to f(x) to obtain g(x) are:

1. Dilation - it is the transformation that changes the size/shape of the figure. It is generally of the form kf(x) where k is constant.

Since, we are dilating the given function by 2 units, the new dilated function becomes $2\sqrt{x}$ .

2. Translation - it is the transformation that shifts the figure in any direction. When the function is shifted vertically, the general form becomes f(x)+k.

As, we see that the new dilated function is shifted 3 units upwards, the final translated function becomes $g(x)=2\sqrt{x}+3$ .

Hence, the transformations applied to obtain g(x) from f(x) are Dilation followed by Translation.

5 0

3 years ago

Keith mows lawns in his neighborhood. He charges a base rate of $15 per lawn and then charges $5 per hour, h, it takes him to mo

Bogdan [553]

Answer:

y * ((h * x) + 15)

Step-by-step explanation:

l (Lawns)

h = hours

x = number of hours

y = number of lawns

y * ((h * x) + 15)

7 0

3 years ago

Ann got 6.25 gallons of gas at $3.12 per gallon. how much did she pay

matrenka [14]

19 dollars and 5 cents

7 0

4 years ago

Please help it needs to be right

kodGreya [7K]

Answer:

C Infinitely Many Solutions

Step-by-step explanation:

i put the 2 equations into Desmos Graphing Calculator and they are the same line so it has infinitely many solutions.

5 0

3 years ago

Riley is saving up to buy a new television. She needs a total of $1,049.77. Riley has saved $200.79 already and earns $77.18 per

Xelga [282]

11 weeks are required for Riley to work to save enough money to buy the new television

<h3><u>Solution:</u></h3>

Given that Riley needs a total of $1,049.77

Riley has saved $200.79 already and earns $77.18 per week at her job

To find: Number of weeks Riley need to work to save enough money to buy the new television

Remaining amount needed = $1,049.77 - $200.79

Remaining amount needed = $ 848.98

Let "n" be the number of weeks Riley need to work to save enough money to buy the new television

Also she earns $77.18 per week at her job

1 week ⇒ $ 77.18

"n" weeks ⇒ $ 848.98

Therefore, by cross multiplication,

$n \times 77.18 = 1 \times 848.98\\\\n = \frac{848.98}{77.18}\\\\n = 11$

Therefore 11 weeks are required for her to work to save enough money to buy the new television

<h3><u>Method 2:</u></h3>

<em>Total amount = amount already saved + ($77.18 per week at her job)("n" weeks)</em>

1,049.77 = 200.79 + (77.18)(n)

1049.77 - 200.79 = 77.18n

848.98 = 77.18n

$n = \frac{848.98}{77.18}$

n = 11

Therefore 11 weeks are required for her to work to save enough money to buy the new television

5 0

4 years ago