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2 years ago

PLZ HELP IM MARKING BRAINLIEST

Mathematics

1 answer:

Andreyy892 years ago

4 0

Answer:

Step-by-step explanation:

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If a point c is inside

Klio2033 [76]

What are you asking?

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3 years ago

What is cos theta when sin theta = sqrt 2/3

Fittoniya [83]

Answer:

Value of cosθ is ±√7/3 .

Step-by-step explanation:

According to the Question , value of :

$\red{\implies sin\theta = \dfrac{\sqrt2}{3}}$

And , we know the identity of sine and cosine as ,

$\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }$

Using , this identity we have ;

$\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}$

Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :

$\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}$

3 0

2 years ago

What is the area of the following circle

shtirl [24]

Answer: 25 pi

Step-by-step explanation:

7 0

2 years ago

Formula One race cars can reach speeds of approximately 100 meters per second. What is this speed in meters per minute?

WARRIOR [948]

Set up multiplication/division of ratios to cancel out units you don't need for the final answer and introduce those that you do.

We have m/s and we want m/min so

(100m/s)(60s/min)=6000m/min

5 0

3 years ago

A meteorologist who sampled 4 thunderstorms found that the average speed at which they traveled across a certain state was 16 mi

DENIUS [597]

Answer:

The 90 % confidence interval for the mean population is (11.176 ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

Step-by-step explanation:

Mean = x`= 16 miles per hour

standard deviation =s= 4.1 miles per hour

n= 4

$\frac{s}{\sqrt n}$ = 4.1/√4= 4.1/2= 2.05

1-α= 0.9

degrees of freedom =n-1= df= 3

∈ ( estimator t with 90 % and df= 3 from t - table ) 2.353

Using Students' t - test

x`±∈ * $\frac{s}{\sqrt n}$

Putting values

16 ± 2.353 * 2.05

= 16 + 4.82365

20.824 ; 11.176

The 90 % confidence interval for the mean population is (11.176 ; 20.824 )

Rounding to at least two decimal places would give 11.18 , 20.83

4 0

2 years ago

Read 2 more answers