Find Sin x and Tan x if Cos x=2/3 and Cot x >0. Evaluate without using calculator.​

Answers

Answer 1

\(\sqrt5\)Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = \(\sqrt5\)  / 3

Tan x = Sin x / Cos x = (\(\sqrt5\)  / 3) /  (2 / 3) =  \(\sqrt5\)  / 2


Related Questions

Eddie is reading a novel for English class. He has read 168 out of 480 pages. What percent of the book has he read?

Answers

Answer:

0.35%

Step-by-step explanation:

Find the equation of the horizontal line that contains the point (8,4). Express the equation using either the general form or the slope-intercept form of the equation of a line.

Answers

The equation of line containing vertices (8,4) is y = 4.

How do you express a line's equation in slope-intercept form?

Y = mx+b, where m is the slope and b is the y-intercept, is the formula for the slope-intercept form (the point where the line crosses the y-axis). Using y=mx+b to graph a line is typically simple. The standard form and the point-slope form are other formats for linear equations.

Equation of line in slope - intercept form is

y = mx + c

where m= slope

c = y - intercept

As it is given that equation of line is horizontal,

this implies

x = 0

y = m (0) + c

y = c

Now, the given coordinates are (8,4)

Slope of the equation equals 0 As the line is horizontal.

⇒ y = 0 (8) + 4

⇒ y = 4

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what is a number between 67 and 113 that is a multiple of 4,8,and 16?

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Question what is a number between 67 and 113 that is a multiple of 4,8,and 16?

Answer hey buddy your answer is

80,96 and 112

ihope i am right

so keep practicing

ok bye bye

and one more thing can you mark me as brainliest

The skid marks for a car involved in an accident measured 216ft. Use the formula s=24d−−−√ to find the speed, s, of the car before the brakes were applied.

Answers

The sοlutiοn οf the given prοblem οf unitary methοd cοmes οut tο be the vehicle's speed befοre tο using the brakes was rοughly 352.7256 mph.

The speed (cοmmοnly referred tο as v) οf an οbject is the magnitude οf the change οf its pοsitiοn οver time οr the magnitude οf the change οf its pοsitiοn per unit οf time; it is thus a scalar quantity.

The average speed οf an οbject in an interval οf time is the distance travelled by the οbject divided by the duratiοn οf the interval the instantaneοus speed is the limit οf the average speed as the duratiοn οf the time interval apprοaches zerο. Speed is nοt the same as velοcity.

Here,

The 216-fοοt length οf the car's skid marks is all that is presented tο us. The speed οf the car befοre the brakes were applied can be calculated using the fοrmula s = 24d(1/2), where s is the speed οf the car in miles per hοur (mph) and d is the length οf the skid marks in feet.

When we replace the specified value οf d, we οbtain:

=> s = 24√(216)

=> s = 24(14.6969)

=> s = 352.7256

Thus, the vehicle's speed befοre tο using the brakes was rοughly 352.7256 mph.

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PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! <3 NO LINKS PLEASEE.

PLEASE HELP THIS IS VERY IMPORTANT I'LL GIVE YOU BRAIN THING IF ITS CORRECT!! &lt;3 NO LINKS PLEASEE.

Answers

Answer and Step-By-Step Explanation:

The point shown is marked at (36,82), meaning that the panda is 36 months old and weighs 82 kilograms.  To plot the next point, just go up from 110 on the graph to 90 and mark a point.  (Sorry I tried to put an image but it was extremly blurry.)

write the slope - intercept equation of the line that passes through the point (6, "-1)" and has a slope of "-1/3"

Answers

Answer:

-1 = 1/3 * 6 - 3

Step-by-step explanation:

So if it goes through point (6, -1) and has a slope of -1/3, all of this is parts of the slope intercept equal, Y = mx - B. You have the slope, which is m in the equation, y = -1/3 x - b. you already have a y and x which are the points passed, -1 = -1/3 * 6 - b, but this can't equal y, so you must have did it wrong, the only way this could equal y is if the slope wasn't negative, and in that case it would be -1 = 1/3 * 6 - 3. Because 1/3 * 6 is 2 and then subract 3 and you get -1.

Answer:

y = - 1/3x + 1

Step-by-step explanation:

We need to find the equation of the line with:

Slope m = - 1/3Passes through the point (6, - 1)

The slope intercept form is:

y = mx + b

We have the slope, find the y-intercept by substituting the coordinates and slope values into equation above:

-1 = (-1/3)*6 + b- 1 = - 2 + bb = 2 - 1b = 1

The line is:

y = - 1/3x + 1

Triangles Q R S and X Y Z are shown. Angles Q S R and X Z Y are right angles. Angles Q R S and X Y Z are congruent. The length of Y Z is 9, the length of X Z is 12, and the length of hypotenuse X Y is 15.
Given △QRS ~ △XYZ, what is the value of tan(Q)?

Three-fifths
Three-fourths
Four-fifths

Answers

Answer:three-fourths

Step-by-step explanation:

because my dad said it was right

The data points show an item's value y (in dollars) at a time x (in years) after its purchase.Each figure has the same data points.However, each figure has a different curve fitting the data.The equation for each curve is also shown.Answer the questions that follow.

The data points show an item's value y (in dollars) at a time x (in years) after its purchase.Each figure

Answers

a) We can see that the line that best fit the data points is the one in Figure 1.

This is because it minimizes the distance between the data points and the model curve.

b) We can use the equation from Figure 1 for x = 11 to find the estimation from the model.

We can calculate it as:

\(\begin{gathered} y=51(1.13)^x \\ y=51(1.13)^{11} \\ y\approx51\cdot3.836 \\ y\approx195.63 \end{gathered}\)

Answer:

a) Figure 1

b) $195.63

I need some help!! I will try to give brainliest!!!

I need some help!! I will try to give brainliest!!!

Answers

67 degrees.


180-127=53
53+60=113
180-113= 67

In.a two - digit number, the units digit is twice the tens digit. If the number is doubled, it will be 12 more than the number reversed. Find the number

Answers

The number is 48.

Let's represent the two-digit number as 10x + y, where x is the tens digit and y is the units digit.

According to the given information, the units digit is twice the tens digit. So we have the equation:

y = 2x

If the number is doubled, it will be 12 more than the number reversed. When we double the number, we get 2(10x + y), and the number reversed is 10y + x.

Therefore, we can write the equation as:

2(10x + y) = 10y + x + 12

Simplifying this equation, we get:

20x + 2y = 10y + x + 12

19x = 8y + 12

19x - 8y = 12

We have two equations now:

y = 2x

19x - 8y = 12

Substituting the value of y from the first equation into the second equation, we get:

19x - 8(2x) = 12

19x - 16x = 12

3x = 12

x = 4

Now we can substitute the value of x back into the first equation to find y:

y = 2x

y = 2(4)

y = 8

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knowing that sin(60)=0.866, what is cos(30)

Answers

Answer:

knowing that sin(60)=0.866, what is cos(30)

Step-by-step explanation:

Cos 30 = 8.66

QRINC offered new employees a starting salary of $34,100 in 2013. What would a comparable starting salary have been in 2003?

Answers

Answer:

Table of Annual CPI values

2003-184.00            

2004-188.90

2005-195.3

2006-201.6

2007-207.342

2008-215.303

2009-214.537

2010-218.056

2011-224.939

2012-229.594

2013-232.957

2014-236.736

QRINC offered new employees a starting salary of $34,862 in 2013. What would a comparable starting salary have been in 2003?

Answer:

Step-by-step explanation:

From the question we are told that

CPI for 2003(index)=2003-184.00  

CPI for 2013(index)=2013-232.957  

Starting salary in 2013 at $34,862

Generally  comparable starting salary C is given as

 

 

Therefore C the comparable starting salary is givrn to be

 

 

Step-by-step explanation:

Four less than the product of a number (x)
and 5 is equal to 8 more than 2 added to
3 times the number. Which of these equa-
tions could be used to find the value of x?

Answers

Answer: The equation used to find the value of x is 5x - 4 = 3x + 10. The value of x is determined to be 7.

Step-by-step explanation:

Four less than the product of a number (x) and 5 = 5x - 4

8 more than 2 added to 3 times the number = 3x + 2 + 8 = 3x + 10

Four less than the product of a number (x) and 5 is equal to 8 more than 2 added to 3 times the number => 5x - 4 = 3x + 10

                                                         5x - 3x = 10 + 4

                                                         2x = 14

                                                         x = 14/2

                 therefore,                      x = 7

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The black graph is the graph of y=f(x). Choose the equation for the red graph plz help

The black graph is the graph of y=f(x). Choose the equation for the red graph plz help

Answers

Answer:

d

Step-by-step explanation:

See the attached image.

The black graph is the graph of y=f(x). Choose the equation for the red graph plz help

What are the names of a circle with H

What are the names of a circle with H

Answers

If the length of HJ is 7 unit then the length of EI is 14 unit.

What is a circle?

A circle is a shape consisting of all points in a plane that are given the same distance from a given point called the center.

We are given a circle with center H.

Therefore, the radius of the circle is found as; HJ

Then the Diameter is the line from one point in the circle to the other point through the center of the circle.

Diameter of the circle = EI

Since we know that One of the theorems of a circle states that the angles in the same segments or on the same chord are equal.

Then the name of the chord is FG.

If the length of HJ is 7 unit then the length of EI is;

EI = 2 HJ

EI = 14 unit.

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I need help pls and thank u

I need help pls and thank u

Answers

The diagram that best represents X' is letter C.

Explanation:

X' represents anything but X.

Because of this, the union of X and Y is not shaded in, as well as the X circle. Anything that doesn't include X should be shaded in green.  

Answer:

The answer is C, represents X' .

I need help pls and thank u

Find the surface area of the figure L=6 W=15 H=4
A. 154 m2
B. 308 m2
C. 203 m2
D. 357 m2

Answers

Answer:

Step-by-step explanation:

Given

L=6

W=15

H=4

Solution surface area of the figure=2(lb+bh+hl)

=2(6×15+15×4+4×6)

=2(90+60+24)

=2(174)

=348m^2

What is the simplified expression for 5 a b + 9 a b minus a b?

Answers

Answer:

\(=13ab\)

Step-by-step explanation:

\(5ab+9ab-ab\\\mathrm{Add\:similar\:elements:}\:5ab+9ab-ab=13ab\\=13ab\)

What is the length of side a?

Answers

Answer:

do provide the figure dude.

y=9/4×2

sketch the graph of f and f on the same set of axes

Answers

The graph of the function \(f(x) = (9/4)x^2\) is a symmetric upward-opening parabola.

The graph represents a parabola that opens upward. As x increases, the corresponding y-values increase, forming a curved shape. The vertex of the parabola is at the origin (0,0). The graph is symmetric with respect to the y-axis, meaning that the left and right sides of the parabola are mirror images of each other.The slope of the graph gradually increases as x moves away from the origin. The steepness of the curve becomes more pronounced, indicating a faster rate of increase in y-values for larger x-values.The graph does not intersect the x-axis, indicating that there are no real roots or solutions for the equation f(x) = 0. The y-intercept of the graph is at (0, 0), and the y-values increase indefinitely as x approaches positive or negative infinity.

Overall, the graph represents a quadratic function with a positive leading coefficient, resulting in an upward-opening parabolic curve. The graph has been attached.

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y=9/42sketch the graph of f and f on the same set of axes

A blueprint used a scale of 1.5 cm = 2 m to
represent a grain silo. If the height of the silo in
the drawing was 33 cm, how tall is the actual grain
silo?

Answers

Answer: The Silo is 44 meters tall

Step-by-step explanation:

To find the height of the silo, first you have to divide the drawing height (33cm) by 1.5 to get the unit rate. Then multiply the 22 by 2 to get 44 meters (The height of the silo)

HELP WILL GIVE BRAINLIEST IF CORRECT

HELP WILL GIVE BRAINLIEST IF CORRECT

Answers

C. 1 only because csc x is the only one that has asymptotes at npi

Val's whole-house central air conditioner uses 2,500 watts when running. Val runs the AC 5 hours per summer day. Electricity costs (12 cents)/(1 kilowatt-hour). How much does Val's AC cost to run for a summer month of 30 days?

Answers

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Quantity of electricity used in kilowatts is;

1000 watts = 1 kilowatts

2,500 watts = 2.5 kilowatts

Given that Number of hours Val runs AC per day = 5 hours

Number of days = 30 days

Cost of electricity = $0.18 kilowatts per hour

The Cost of Val’s AC to run for a summer month of 30 days can be calculated as;

= Quantity of electricity used × Number of hours Val runs AC per day × Number of days × Cost of electricity

= 2.5 × 5 × 30 × 0.18

= $67.5

The total cost to run Val’s AC costs for a summer month of 30 days will be $67.5.

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a circle has a radius of 9 inches. In inches, what is the length of the arc intercepted by central angle of 3.25 radians

Answers

Answer:

\(\boxed {\boxed {\sf 29.25 \ inches}}\)

Step-by-step explanation:

Since we are given the central angle in radians, we should use the following formula for the arc length.

\(s= \theta r\)

Where s is the arc length, θ is the angle in radians, and r is the radius.

We know this circle has a radius of 9 inches and the central angle is 3.25 radians.

θ= 3.25 r= 9 in

Substitute the values into the formula

\(s= (3.25)( 9 \ in)\)

Multiply.

\(s= 29.25 \ in\)

The arc length is 29.25 inches.

The assets and liabilities of a doctor are listed below.
Home Value $589,674
Mortgage $99,408
Credit Card Balance $8,057
Owned Work Equipment $51,797
Car Value $61,182
Investments $59,090
Personal Loan $76,348


What is the total value of the doctor's capital assets?
A) $51,797
B) $61,182
C) $589,674
D) $702,653

Answers

As a result, none of the suggested solutions are the correct one. The doctor's total capital assets $761,743.

What are assets?

Assets are resources that belong to a person or a business, have value, and can be utilized to make money. Cash, investments, real estate, equipment, and inventory are a few examples of assets.

Assets are split into two groups in accounting: current assets and non-current assets. In contrast to non-current assets, which cannot be turned into cash in a year or less, current assets can be changed into cash in a year or less.

The capital assets of the doctor are:

- $589,674 for the home

- Work equipment owned: $51,797

- Vehicle Cost: $61,182

$59,090 was invested.

The value of all the capital assets owned by the doctor is:

$589,674 + $51,797 + $61,182 + $59,090

value of all the capital assets  = **$761,743

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How much does each piece cost individually?

How much does each piece cost individually?

Answers

Answer:

500 for sofa

Step-by-step explanation:

3^4 x 10^6
What is the answer ??

Answers

81000000 is the answer

What is the difference in length between the longest and shortest carrots?

What is the difference in length between the longest and shortest carrots?

Answers

11 centimeters is the difference in length between the longest and shortest carrots

To find the difference in length between the longest and shortest carrots, we need to determine the maximum and minimum values from the given data set.

The given lengths of the carrots are:

15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 20, 18, 20, 22, 21, 20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 11, 21, 18, 20.

To find the maximum length, we look for the highest value in the data set, which is 22 centimeters.

To find the minimum length, we look for the lowest value in the data set, which is 11 centimeters.

The difference between the longest and shortest carrots can be calculated by subtracting the minimum length from the maximum length:

22 cm - 11 cm = 11 cm.

Therefore, the difference in length between the longest and shortest carrots is 11 centimeters.

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Question-

The length in centimeters (to the nearest centimeter) of 30 carrots are given as follows: -

15, 22, 21, 20, 22, 15, 15, 20, 20, 15, 20, 18, 20, 22, 21, 20, 21, 18, 21, 18, 20, 18, 21, 18, 22, 20, 11, 21, 18, 20.

Arrange the data given above in a table using tally marks and answer the following questions.

Which lengths of the carrots occur a maximum number of times and a minimum number of times?

a punch bowl has a capacity of 8 quarts. a recipe fills the bowl 3/4 full.how many quarts does the recipe make

Answers

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

An unitary method is what?

This common convenience, already-existing variables, or all important elements from the original Diocesan customizable survey that followed a particular event methodology can all be used to achieve the goal. If it does, there will be another chance to get in touch with the entity. If it doesn't, each of the crucial elements of a term proof outcome will surely be lost.

Here,

The quantity of punch produced by the recipe is:

If the punch bowl has an 8-quart capacity and the recipe fills it 3/4 full.

=> 6 pints =  8 * 3/4.

The formula yields 6 quarts of punch as a result.

Therefore , the solution of the given problem of unitary method comes out to be yields 6 quarts of punch as a result.

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Write the line equation passing through (-4,-1) and parallel to y=-1/2x+1

Answers

Answer:

\(y=-\dfrac{1}{2}x-3\)

Step-by-step explanation:

\(\boxed{\begin{minipage}{5.8 cm}\underline{Point-slope form of a linear equation}\\\\$y-y_1=m(x-x_1)$\\\\where:\\ \phantom{ww}$\bullet$ $m$ is the slope. \\ \phantom{ww}$\bullet$ $(x_1,y_1)$ is a point on the line.\\\end{minipage}}\)

Given equation:

\(y=-\dfrac{1}{2}x+1\)

Parallel lines have the same slope.

Therefore, the slope of the line parallel to the given equation is:

\(m=-\dfrac{1}{2}\)

Substitute the found slope and given point (-4, -1) into the point-slope formula:

\(\implies y-(-1)=-\dfrac{1}{2}(x-(-4))\)

\(\implies y+1=-\dfrac{1}{2}(x+4)\)

\(\implies y+1=-\dfrac{1}{2}x-2\)

\(\implies y=-\dfrac{1}{2}x-3\)

Therefore, the equation of the line passing through (-4, -1) and parallel to the given equation is:

\(\boxed{y=-\dfrac{1}{2}x-3}\)

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