All categories

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 :

<u>Sports </u> <u>Hours</u>

Soccer 5

Jogging 20

Walking 10

Skiing 5

Football <u> 10 </u>

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 :

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

$=72^\circ$

You might be interested in

•allie's walking rate is 2 meters per second Allie's house is 200 meters from the fountain

Alborosie

$r=\frac{d}{t}\ \ \to\ \ t=\frac{d}{r}\\\\t=\frac{200}{2}=100s\\\\It\ will\ take\ 100\ seconds$

7 0

3 years ago

Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1

IceJOKER [234]

Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

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

Here we have , $cosxtanx - 2 cos^2 x=-1$ . Let's solve :

⇒ $cosxtanx - 2 cos^2 x=-1$

⇒ $cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1$

⇒ $sinx = 2 cos^2 x-1$

⇒ $sinx = 2 (1-sin^2x)-1$

⇒ $sinx = 1-2sin^2x$

⇒ $2sin^2x+sinx-1=0$

By quadratic formula :

⇒ $sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}$

⇒ $sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}$

⇒ $sinx = \frac{-1 \pm3}{4}$

⇒ $sinx = \frac{1}{2} , sinx =-1$

⇒ $sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}$

⇒ $x=\frac{\pi}{6} , x=\frac{3\pi}{2}$

But at $x=\frac{3\pi}{2}$ we have equation undefined as $cos\frac{3\pi}{2}=0$ . Hence only solution is :

⇒ $x=\frac{\pi}{6}$

Since , $sin(\pi -x)=sinx$

⇒ $x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}$

Now , General Solution is given by :

⇒ $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$

Therefore , Solution to equation $cosxtanx - 2 cos^2 x=-1$ for all real values of x is $x=2k\pi + \frac{\pi}{6} , x=2k\pi + \frac{5\pi}{6}$ .

3 0

3 years ago

Which of the following statements about least squares regression analysis is true?

Lemur [1.5K]

The statements about least squares regression analysis is true are I and III.

<h3>What is meant by regression analysis?</h3>

The statistical technique of regression analysis demonstrates the link between two or more variables. The method evaluates the relationship between a dependent variable and independent factors, and is frequently presented as a graph.

You can anticipate the effects of the independent variable on the dependent one by creating a regression analysis. For instance, we can claim that a linear regression model can adequately account for age and height.

Here,

From the given information in the question:

The statements I and III are correct.

And the statements are:

A point with a large residual is an outlier and the removal of an influential point from the data set could change the value of the correlation coefficient.

So, the statements I and III are correct for the given information in the question.

To know more about regression analysis, visit:

brainly.com/question/28298210

#SPJ1

7 0

1 year ago

When should you use slope intercept form

makkiz [27]

Answer:

If given the slope and a point, use the point-slope form.

If given the slope and the y-intercept, use the slope-intercept form.

4 0

3 years ago

If Cody makes 10$ an hour at his after school job, how many hours will it take him to earn 150?

mixas84 [53]

Answer:

15 hours

Step-by-step explanation:

150 divided by 10 equals 15

7 0

3 years ago

Read 2 more answers