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3 years ago

Sport

Mathematics

1 answer:

Nikitich [7]3 years ago

7 0

Answer:

72 degree

Step-by-step explanation:

It is given that :

Sports Hours

Soccer 5

Jogging 20

Walking 10

Skiing 5

Football 10

50 hours

The total hour is given as 50 hours. Out of which walking is 10 hours.

Therefore, in degree the portion of walking will be :

$=\frac{10}{50} \times 360^\circ$

$=72^\circ$

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The shaded region in the graph represents the solutions of this system of linear inequalities:

kotegsom [21]

Answer:

$y$

$y\leq 2x+3$

Step-by-step explanation:

step 1

Find the equation of the solid line

From the graph take the points (0,3) and (4,11)

Find the slope

$m=(11-3)/(4-0)\\m=8/4=2$

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=2$

$b=3$ ----> the y-intercept is the point (0,3)

substitute

$y=2x+3$

therefore

The inequality is

$y\leq 2x+3$

step 2

Find the equation of the dashed line

The slope is given

$m=4$

From the graph take the y-intercept (0,-5)

The equation of the solid line in slope intercept form is equal to

$y=mx+b$

we have

$m=4$

$b=-5$

substitute

$y=4x-5$

therefore

The inequality is

$y$

because the shaded region is below the dashed line

therefore

The system of inequalities is

$y$

$y\leq 2x+3$

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3 years ago

Why will percent of change always be represented by a positive number?

Murljashka [212]

Percent of change will always be positive because the change is an absolute value. As we know, absolute value is always a positive value because you don't pay attention to the direction, only the distance is important.

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3 years ago

Does a polygon usually have more sides or angles?

Arisa [49]

Polygons include
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3 years ago

Read 2 more answers

The scale of a model train is 1 inch to 13.5 ft. One of the cars of the model train is 5inches long. What is the length in feet

aleksklad [387]

Answer:

The length of the actual train's car is 67.5 feet.

Step-by-step explanation:

Given:

The scale of a model train is 1 inch to 13.5 ft.

Now, to get the length of the actual car of the train.

Let the length of actual train's car be $x.$

And, the length of the car of model train = $5\ inches\ long.$

According to the scale of the model train, 1 inch is equivalent to 13.5 ft.

Thus, 5 inches is equivalent to $x.$

Now, to get the length of actual train's car using cross multiplication method:

$\frac{1}{13.5} =\frac{5}{x}$

By cross multiplying we get:

$x=67.5\ feet.$

Therefore, the length of the actual train's car is 67.5 feet.

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3 years ago

A store has 80 modems in its inventory, 30 coming from source a and the remainder from source

Mrrafil [7]

The number of defective modems in the inventory is 20%⋅ 30 + 8%⋅ 50 = 10 (out of 80). Note that the number of defectives in the inventory is fixed, i.e., we are not told that there is 1 8 probability that a modem in the inventory is defective, but rather that exactly 1 8 of all modems are defective. The probability that exactly two modems in a random sample of five are defective is = 0.102

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