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olasank [31]
2 years ago
8

Use a calculator to find the angle measure to the nearest degree for cos-1 (0.5) 45 Pts!

Mathematics
2 answers:
umka2103 [35]2 years ago
8 0

Step-by-step explanation:

no calculator req

cos 60 is 0.5

so cos inverse of 0.5 os 60°

Amiraneli [1.4K]2 years ago
6 0

\\ \tt\hookrightarrow cos^{-1}(0.5)

\\ \tt\hookrightarrow cos^{-1}\left(\dfrac{1}{2}\right)

\\ \tt\hookrightarrow 60°

Fact about cosine(cos)

\\ \tt\hookrightarrow cos\theta=\dfrac{Base}{Hypotenuse}

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I am sorry, that is not enough information. You have to show us the graph.
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Read 2 more answers
Select all points that are on the line through 0,5
Rus_ich [418]

Answer:

Options (1), (3), and (4)

Step-by-step explanation:

Since, slope of a line passing through two points (x_1,y_1) and (x_2,y_2) is given by,

m = \frac{y_2-y_1}{x_2-x_1}

Therefore, slope of a line passing through (0, 5) and (2, 8) will be,

m = \frac{8-5}{2-0} = 1.5

Equation of line passing through (x', y') and slope 'm' is,

y - y' = m(x - x')

Therefore, equation of a line passing through (0, 5) and slope = 1.5,

y - 5 = 1.5(x - 0)

y = 1.5x + 5

Since, all the points which lie on this line will satisfy this equation.

For (4, 11),

11 = 1.5(4) + 5

11 = 11

Point (4, 11) lies on this line.

Point (5, 10)

10 = 1.5(5) + 5

10 = 7.5 + 5

10 = 12.5

But 10 ≠ 12.5

Therefore, (5, 10) doesn't line on the line.

Point (6, 14)

14 = 1.5(6) + 5

14 = 14

True.

Therefore, (6, 14) lies on the line.

Point (30, 50)

50 = 1.5(30) + 5

50 = 50

True.

Therefore, (30, 50) lies on the line.

Point (40, 60)

60 = 1.5(40) + 5

60 = 65

But 60 ≠ 65

Therefore, (40, 60) doesn't lie on the line.

Options (1), (3) and (4) and the correct options.

3 0
2 years ago
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x makes a linear pair with 120 degrees, so is supplementary:

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3 0
3 years ago
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
eduard

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.

6 0
3 years ago
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