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Aliun [14]
3 years ago
13

Cos(x)= 40/41 and x lies in Q4. Find sin(x)

Mathematics
2 answers:
V125BC [204]3 years ago
5 0

Answer:

sinx =-9/41

Step-by-step explanation:

cos x= adjacent/hypotenuse = 40/41

sin x = opposite/ hypotenuse = x/41

how do we find o? pythagorean theorem

o²=41² -40²

0= + or - 9

Now is 9 negative or positive?

well since the graph is in quadrant 4, according to CAST Rule, Sin will always be negative

therefore o =-9

sinx = -9/41

notka56 [123]3 years ago
4 0

Step-by-step explanation:

\sin(x)  =  \sqrt{1 -  {cos}^{2}x }

\sin(x ) =   \sqrt{1 -  { (\frac{40}{41} )}^{2} }

\sin(x)  =  \sqrt{ \frac{1681 - 1600}{1681} }  =  \sqrt{ \frac{81}{1681} }

sin(x)=±9/41

As x lies in Quadrant 4 , sin(x) = -9/41

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2(x2 + 5) − 3(x + 1) + 3
mestny [16]

Answer:

2x^2  -3x +10

Step-by-step explanation:

2(x^2 + 5) − 3(x + 1) + 3

Distribute

2x^2 +10 -3x -3 +3

Combine like terms

2x^2    -3x    +10 -3+3

2x^2  -3x +10

7 0
3 years ago
Unit 3, Lesson 7
aksik [14]

Answer:

Find the complete table in attached file.

Step-by-step explanation:

Find the Incomplete table in attached file

Given:

A car travels 55 miles per hour for 2 hours.

So the speed of the car 55 miles per hour is constant for 2 hours.

Using speed  formula.

Speed=\frac{distance}{time}

Second row.

From the second row of the table time = \frac{1}{2}=0.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{0.5}

distance = 55\times 0.5

distance = 27.5\ mi

Third row.

From the third row of the table time =1\frac{1}{2}=\frac{3}{2} = 1.5\ sec and speed is constant speed = 55\ mi/hr, so we need to find only distance.

Speed=\frac{distance}{time}

55=\frac{distance}{1.5}

distance = 55\times 1.5

distance = 82.5\ mi

Fourth row.

From the fourth row of the table distance =110\ miles and speed is constant speed = 55\ mi/hr, so we need to find time.

Speed=\frac{distance}{time}

time=\frac{distance}{speed}

time=\frac{110}{55}

time = 2\ sec

Therefore we complete the table from the above calculation.

8 0
3 years ago
An introductory psychology class with n=44 students has 9 freshman males, 15 freshman females, 8 sophomore males, and 12 sophomo
andrezito [222]

Answer:

0.61

Step-by-step explanation:

Pr (female) =  total number of females(n')/Total number of students(n)

Where P(female) = probability of selectinga female

Pr(female) = n'/n................. Equation 1

Given: n = 44 students, n' = 15+12 = 27 females

Substitute into equation 1

Pr(female) = 27/44

Pr(female) = 0.61.

Hence the probability of selecting a female is 0.61

3 0
3 years ago
A car rental company rents cars for x dollars per day plus y dollars for each mile driven. Carlos rented a car for 4 days, drove
topjm [15]

Answer:

x = $20/day, y = $0.35/mile

Step-by-step explanation:

x = $/day, y = $/mile

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4 0
2 years ago
What are the square roots of 144 over 256
stepladder [879]
Minus 12 over 16 and 12 over 16 

There you go!
8 0
3 years ago
Read 2 more answers
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