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Ksju [112]
3 years ago
10

Kyoko is reading a book by her favorite author. She read the first 20 pages in One-half of an hour. Reading at the same pace, Ky

oko wants to determine if she’ll have enough time to finish the book before she has to go to bed. Reading Time On a coordinate plane, a graph titled Reading Time has number of hours on the x-axis, and number of pages on the y-axis. A straight line goes through (0, 0), (0.5, 20), and (2, 80). According to the graph, which statement must be true? It will take her 2 hours to read 60 pages. It will take her 3 hours to read 120 pages. It will take her 4 hours to read 180 pages. It will take her 5 hours to read 210 pages.
Mathematics
1 answer:
eduard3 years ago
6 0

Answer:

It will take her 3 hours to read 120 pages.

Step-by-step explanation:

The number of pages read(y) after x hour can be modeled by a linear function in the following format:

y = ax + b

In which a is the number of pages read per hour and b is the initial number of pages read.

A straight line goes through (0, 0)

This means that when x = 0, y = 0

So

y = ax + b

0 = a*0 + b

b = 0

(0.5, 20)

When x = 0.5, y = 20

So

y = ax

20 = 0.5a

a = \frac{20}{0.5}

a = 40

The function in:

y(x) = 40x

According to the graph, which statement must be true?

It will take her 2 hours to read 60 pages.

y(2) = 40*2 = 80

Less than 2 hours for 60 pages, so this is false.

It will take her 3 hours to read 120 pages.

y(3) = 40*3 = 120

This statement is true.

It will take her 4 hours to read 180 pages.

y(4) = 40*4 = 160

More than 4 hours to read 180 pages. So false.

It will take her 5 hours to read 210 pages.

y(5) = 40*5 = 200

More than 5 hours to read 210 pages. So false.

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saul85 [17]

Answer:

(-4,9)

Step-by-step explanation:

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8 0
3 years ago
Need geometry help ASAP please!
tatiyna

Answer:

1. 121 π  unit²

2. 143°

3. 151 unit²

Step-by-step explanation:

1.

Area of a circle is given by the formula  A = πr²

where

A is the area,

r is the radius of the circle

From the given diagram, we can see that the radius is 11, hence the area will be:

A=\pi r^2\\A=\pi (11)^2\\A=121\pi

The answer is  121\pi units^2

2.

The unshaded secctor and the shaded sector equals the circle. We know that circle is 360°. The unshaded sector has an angle of 217°. So the shaded part will be 360 - 217 = 143°

The measure of the central angle of the shaded sector is 143°

3.

Area of a sector is given by the formula  A=\frac{\theta}{360}*\pi r^2

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\theta is the central angle of the sector (in our case it is 143°)

r is the radius (which is 11)

Plugging in all the info into the formula we have:

A=\frac{\theta}{360}*\pi r^2\\A=\frac{143}{360}*\pi (11)^2\\A=150.99

<em>rounding to the nearest whole number, it is </em>151 units^2

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Answer:

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