MATHEMATICS HIGH SCHOOL

MULTIPLE CHOICE, PLS HELP!!θ lies in Quadrant II .

sinθ=4/7

What is the exact value of cosθ in simplified form?

Answers

Answer 1

Answer:

We know that : Sin²θ + Cos²θ = 1

Given : Sinθ $\bf{= (4)/(7)}$

$\bf{\implies ((4)/(7))^2 + Cos^2(\theta) = 1}$

$\bf{\implies Cos^2(\theta) = 1 - (16)/(49)}$

$\bf{\implies Cos^2(\theta) =((49 - 16)/(49))}$

$\bf{\implies Cos^2(\theta) =((33)/(49))}$

$\bf{\implies Cos(\theta) = (\pm)((√(33))/(7))}$

Given : θ lies in Quadrant II

We know that : Cosθ is Negative in Quadrant II

$\bf{\implies Cos(\theta) = (-)((√(33))/(7))}$

Option 3 is the Answer

Related Questions

Select the correct answer.The function f(x) is given by the table of values.x 1 2 3 4f(x) 1 8 27 64If f(x) is shifted 4 units up to obtain g(x), which table of values represents the function g(x)?x 5 6 7 8g(x) 5 12 31 68x 1 2 3 4g(x) 5 12 31 68x 5 6 7 8g(x) 1 8 27 64x 1 2 3 4g(x) 4 32 108 256
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For which equation x=5 be a solution ?a. 3 x +6=21b. 12 - 2 x =13c. 7+6 x+27d. 4 x - 7=27

What is the square root of 53

Answers

7.2 is the square root of 53

A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of $12.00. Alyssa thinks that her school is more fashion conscious and spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. Which of the following is the correct z-statistic for this situation?

Answers

To calculate the z-statistic, we must first calculate the standard error.

Standard error is standard deviation divided by the square root of the population. In this case, it is equal to 2.68.

The z-score is defined the distance from the sample to the population mean in units of standard error.

z = (195 – 208)/2.68 = -4.86

Answer:

The answer is B

Step-by-step explanation:

edge 2020

There are chickens and pigs in a farm yard? There are 68 feet and 23 tails in the farm yard. How many chickens and how many pigs does grandma have?

Answers

You have animals with 4 legs, and animals with 2 legs. Both animals only have one tail. So, given that they only have one tail, there are only 23 animals in the farmyard.
Now, the equation would be,
$(68)/(x) =23$
$68=23x$
$(68)/(23) =x$

Answer:

12 chickens and 11 pigs

Step-by-step explanation:

We know that...

Chickens have 2 feet and 1 tail.

Pigs have 4 feet and 1 tail.

Let c represent chickens.

Let p represent pigs.

We need to create two equations. One for feet, and one for tails.

Tails:

Because each animal has 1 tail, we can say that the number of pigs, (p) plus the number of chickens, (c) must equal 23. So...

c + p = 23

Feet:

Because each chicken has two feet, and each pig has 4 feet, we can say that 2 times the number of chickens, (c) plus 4 times the number of pigs, (p) needs to equal 68. So...

2c + 4p = 68

Now we have two equations.

2c + 4p = 68

and

c + p = 23

We can use the substitution method to find c and p. The substitution method involves solving for one of the variables with one of the equations, then placing it into the other equation, so that you only have one variable to solve for, which you can do with simple algebra.

Solve for c

c + p = 23

c = 23 - p

Add that to the other equation.

2c + 4p = 68

2(23 - p) + 4p = 68

Solve for p

46 - 2p + 4p = 68

46 + 2p = 68

2p = 22

p = 11

Now that we know p, we can plug that into one of the equations to find c.

c + p = 23

c + (11) = 23

c = 12

Now we have c and p.

There are 12 chickens and 11 pigs on the farm.

Determine the principal P that must be invested at rate r = 7%, compounded monthly, so that $500,000 will be available for retirement in t = 19 years. (Round your answer to the nearest cent.)P = $

Answers

19 years = 228 months
if i si the rate per month (1+i)^12 = 1,07 => 1 + i = 12√1,07 = 1,00565
500 000 = (1,00565)^(228).x => x = 500 000/3,616 = $138 254,16

15. Angle AOD has what measurement according to the protractor?

Answers

Answer:

90 degrees

Step-by-step explanation:

We can see in the attachment that AOD extends from 0 degrees to 90 degrees, creating a 90 degree or right angle.

Hope this helps! :)

think of a number. double the number, subtract 6 from the result and divide answer by 2. the quotient will be 20. what is the number? show you solution pls.

Answers

Let x = the unknown number. (2x - 6) divided 2 = 20
Multiply both sides of the equation by 2
2x - 6 = 40 then add 6 to both sides,
2x = 46 divide both sides by 2
x = 23

Final answer:

To find the number, we need to work backwards from the given quotient of 20. Double the number, subtract 6, and divide the result by 2 to get the number.