Given cos = 7/25, where is an angle in standard position terminating in
quadrant IV, what is the value of tan ?

Answers

Answer 1

Answer:

tanΘ = - [tex]\frac{24}{7}[/tex]

Step-by-step explanation:

Given

cosΘ = [tex]\frac{7}{25}[/tex] = [tex]\frac{adjacent}{hypotenuse}[/tex]

The right triangle has sides 7, 24, 25 ← Pythagorean triplet

with adjacent = 7 and opposite = 24

Since position is in fourth quadrant then tanΘ < 0 , thus

tanΘ = - [tex]\frac{24}{7}[/tex]


Related Questions

Pippa has 18 puppies, 12 of the puppies have two ears. what is the percent of the puppies have two ears?

Answers

the percent is 66%
12/18 = 2/3 or 66%

Answer:

66.666% or 66.7% if rounded to the nearest one decimal place

Step-by-step explanation:

12÷18 × 100

Please Helppp :(((( A crew of highway workers paved 1/2 mile in 1/4 hour. If they work at the same rate, how much will they pave in one hour?

Answers

Answer:

120 miles is the answer

Factor: 9x^2 + 6x + 12x + 8 *
please help me

Answers

Answer & Step-by-step explanation:

9x² + 6x + 12x + 8

First, simplify the expression.

9x² + 18x + 8

Now that you have simplified the expression, you can start factoring it. First, you have 9x². You can factor into 3x and 3x because 3 times 3 is 9 and once you multiply x by x, you will get x².

(3x + )(3x + )

Now that we have this part of the factoring, we have to find the other part. We can do this by looking at our constant number. Constant meaning a number that does not have a variable beside it. So, in this case, our constant is 8. We can reduce 8 into 2 and 4 because 2 times 4 is 8.

(3x + 2)(3x + 4)

So, the factored form of 9x² + 6x + 12x + 8 is (3x + 2)(3x + 4)

Answer:

Step-by-step explanation:

what is causation in a scatter plot

Answers

Answer:

A scatter plot displays data about two variables as a set of points in the x y x y x y -plane and is a useful tool for determining if there is a correlation between the variables. Causation means that one event causes another event to occur. Causation can only be determined from an appropriately designed experiment.

Step-by-step explanation:

Example: Correlation between Ice cream sales and sunglasses sold. ... Causation takes a step further than correlation. It says any change in the value of one variable will cause a change in the value of another variable, which means one variable makes other to happen. It is also referred as cause and effect.

Find the areas of the trapezoids.

Answers

Rotate it 90 degrees so that the would be the top.

Area of a trapezoid = (top+ bottom)/2 x height.

Each line on the graph is 2 units.

Top = 2

Bottom = 8

Height = 6

Area = (2+8)/2x6 = 30square units

Same correct answer on top ! I got a similar answer to it

The hexagon has all sides the same length and opposite sides are parallel, but is not a rhombus. Why?!

Answers

Although the sides are equal, it isn't a rhombus because there is 6 sides and not 4.

Find the value of x in the quadrilateral below.

Answers

Answer:

120

Step-by-step explanation:

The sum of the degrees in any quadrilateral is 360. So add up all of the degrees you know and subtract it from 360 to get your answer.

120 + 60 + 60 = 240

360 - 240 = 120

another way you know that's easier is the angles that are diagonal are equal to one another, so since x is diagonal to 120, it is equal to 120.

a roofer leaned a 19 ft ladder against the house with the base of the ladder is 6 feet from the house, how high up the house does the ladder reach?​

Answers

5square root 13 or 18.027

4 yd 2 ft = _____ ft. Explain how you knew how to solve the problem.

Answers

Answer:

Square yard= 4        Square foot= 36

Step-by-step explanation:

Formula: Multiply the area value by 9

Answer: Square yard= 4        Square foot= 36

Hope this helps.

Find m ABC. Need help

Answers

Answer:

<ABC = 30°

Step-by-step explanation:

<ABC + <CBD = 90 [Complementary angles add up to 90°]

x+7+2x+14 = 90

3x + 21 = 90

3x = 90-21

3x = 69

Dividing both sides by 3

x = 23

Now

<ABC = 23+7

<ABC = 30°

Answer:

30 degrees

Step-by-step explanation:

ms kazenas has 4 pounds of cake mix which she discovers is only 25 of the cake mix she needs to make a whole cake how many more pounds of cake mix does ms kazenas need

Answers

Answer:

Step-by-step explanation:

entire cake = x

4 lbs of cake mix on hand = 25% of x

4 = 0.25x

x = 0.25/4

x = 16 lbs

She will need 16-4 = 12 lbs more

Lower quartile of 6 8 10 12 14 15 15 20

Answers

Answer: The lower quartile is 6

Step-by-step explanation: To find the lower quartile of a set of data, we can find the median of the data and then find the median of the first half. This strategy is similar to dividing a cake into halves, and then dividing one of the halves in half so that you end up with a quarter of the cake.

If a stack of 45 coins fits snugly in the coin wrapper shown, how thick is 1 coin?
coin
wrapper
d=21.17 mm V=28,470 mm

Answers

Answer:

1.797 mm

Step-by-step explanation:

The key to solving this problem is finding the length of the coin wrapper, or "height" of the cylinder.

The volume of a cylinder equation is:

V = hπr^2

- We want to find h

- We are given diameter and we will want the radius so we divide

21.17/2 = 10.585

r = 10.585

So to find h we manipulate the equation by dividing both sides by pi and r^2

resulting in the following:

h = [tex]\frac{V}{\pi r^2}[/tex]

now substitute given values and we get

h = [tex]\frac{28470}{\pi10.585^{2} }[/tex] = 80.883

Now to find the thickness of a single coin we divide the length of the sleeve (h) by the number of coins in the sleeve (45).

Thickness = 80.883/45 = 1.797 mm

Michael bought a stereo on sale for 20% off the regular price. The regular price of the stereo was $180. What was the sale price of the stereo?

Answers

Answer:

144

Step-by-step explanation:

Take the original price and multiply by the discount

180* 20%

180 *.20

36

Subtract this from the original price

180-36 =144

The sale price is 144

Cards for Candy Two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy. How many individual games had they played?

Answers

Answer:

6 games

Step-by-step explanation:

if one lady had 3 pieces of candy, that means she must have gotten them from the other lady. And since the other lady had only won 3 games, that means that she must have lost an additional 3, so she had to give her candy to the other lady.

The number of individual games they played is 6 games.

How many games did they play?

Given the cards for Candy two ladies played cards for candy; the winner received one piece per game from the loser. When it was time for one of the ladies to go home, one lady had won three games, while the other lady had a profit of three pieces of candy.

If one woman had three candies, it is obvious that she must have obtained them from the other woman. She had to give her candy to the other lady because she had only won three games, implying that she must have lost three more.

Therefore, the number of individual games they played is 6 games.

To know more about logic games follow

https://brainly.com/question/3596820

#SPJ2

lim(x,0) sqrtx+11 -sqrt11/x

Answers

Answer:

=11x=qrst/x

Step-by-step explanation:

Answer:

c. 1/2sqrt11

Step-by-step explanation:

edge

A vendor charges $24 for a souvenir. What is the demand function

Answers

Answer:

depends on the tax, value, and some other factors (i think)

Step-by-step explanation:

For which acute angle are the sine of the angle and cosine of the angle equal?

Answers

Answer:

∠45°

Step-by-step explanation:

When looking at a unit circle, the only acute angle (an angle between

0° and 90°) that consists of an equal sine and cosine is 45°. This is because:

[tex]sin 45 = \frac{\sqrt{2} }{2}[/tex]

[tex]cos45 = \frac{\sqrt{2} }{2}[/tex]

45° is the only acute angle that contains an equal sine and cosine.

Answer:

45 degrees

Step-by-step explanation:

Since Sin(90-x) = Cos(x), we can find that the angle at which 90-x=x is 45 degrees. This corresponds to [tex]\frac{\pi }{4}[/tex] radians

Given g(x)=-x-2, find g(1)

Answers

Answer:

G(x)=−12x2−2x

Step-by-step explanation:

HELP PLS !!
In the figure, AB || CD and
m<1 = 120°
What is m25?
Enter your answer in the box.

Answers

Answer:

i think 180 not positive

Step-by-step explanation:

HELP PLEASEEEEE

Urgent ​

Answers

Answer:

The answer is b.

Step-by-step explanation:

If the for is filled than it is included

Complete the square please.

Answers

Answer:

(x-3)^2 + (y+2)^2 = 9^2

Step-by-step explanation:

x^2 -6x+y^2+4y-68 = 0

Complete the square

x^2 -6x+y^2+4y-68+68 = 0+68

x^2 -6x+y^2+4y = 68

Find the term to add for x

-6 /2 = -3  -3^2 = 9

Find the term to add for y

4/2 =2  2^2 = 4

Add 9 and 4

x^2 -6x+9+y^2+4y+4 = 68+9+4

(x-3)^2 + (y+2)^2 = 81

(x-3)^2 + (y+2)^2 = 9^2

The standard form is

(x-h)^2 + (y-k)^2 = r^2 where (h,k) is the center and r is the radius

Which fraction is equivalent to 20%? - 1/20 - 2/20 - 4/20 - 5/20

Answers

Answer:

c

Step-by-step explanation:

[tex]\frac{20}{100} = \frac{1}{5} \\\frac{4}{20} = \frac{1}{5}[/tex]

Answer:

4/20

Step-by-step explanation:

4/20=1/5=20%

PLEASE HELP ASAP PLEASE PLEASE PLEASE



If you have one apple, and someone gives you three more apples, how many apples do you have? __4__ This is the same idea as adding variables. x+3x = ______. The exponent ​does not ​change when adding.

However, when you multiply, you _____________ the exponents. For example x · x · x · =___ Simplifying Negative Exponents : 2^-3 = 1 = 1/8

Write an example for each rule:

Answers

Answer:

First blank- 4x

Second blank- combine

Third blank- X

Hope this helps :3

(Write feedback if incorrect)

Transforma adjectivele:gustos,curat,luminoasa,inalta in substantive,apoi in verbe.Alcatuieste enunturi cu fiecare notiune care a rezultat.

Repede,va rog! :((

Answers

Answer:

To solve this problem, we need to transform the adjectives below to verbs.

Yummy : SavorClean : To cleanShiny : To shine

We can form the following sentences:

My siste savors the meal, and she thinks is yummy.I clean my apartment every single day, it's so clean.The sun shines all day, it's a shiny object.

Fatima is on the track team. One day at practice, it took her 19 minutes to run 2 miles. Select the expression that gives this as a unit rate.

Answers

Answer:

Fatima's unit rate is 9.5 minutes per mile.

Step-by-step explanation:

To compute the one unit value of a variable divide the total values of n variables by n.

It is provided that it took Fatima 19 minutes to run 2 miles.

Then the unit rate at which Fatima runs is:

[tex]\text{Unit Rate}=\frac{19}{2}[/tex]

                [tex]=9.5[/tex]

Thus, Fatima's unit rate is 9.5 minutes per mile.

Joshua owns a trucking company. For every truck that goes out, Joshua must pay the driver $25 per hour of driving and also has an expense of $2 per mile driven for gas and maintenance. On one particular day, the driver drove an average of 50 miles per hour and Joshua's total expenses for the driver, gas and truck maintenance were $625. Write a system of equations that could be used to determine the number of hours the driver worked and the number of miles the truck drove. Define the variables that you use to write the system.

Answers

Let h= the number of hours the driver drove

Let m= the number of miles driven

25h+2m=625

m=50h

System of equations are 25x + 2y = 625 and y = 50x

Where x represents number of hour of driving and y represent number of mile driven for gas and maintenance.

Since, Joshua pay the driver $25 per hour of driving

So for x hours pay  $ 25x

And also has an expense of $2 per mile driven for gas and maintenance

So for y miles pay $ 2y

Thus, for the driver drove an average of 50 miles per hour

Equation is,  y = 50 x

And since, Joshua's total expenses for the driver, gas and truck maintenance were $625.

So equation is,  25x + 2y = 625

Learn more:

https://brainly.in/question/28501670

a triangle has two sides of lengths 8and 10 what value could the length of the third side be

Answers

It could be between 18 and 2.

Can somebody please explain number 15 and number 18 to me, I'm begging you I cannot do this to save my life I've been trying to do it for an hour now

Answers

Hey there! I’m happy to help!

NUMBER 15
To solve this problem we want to round to the nearest millionth. We cannot actually write out the entire number because it goes on forever, but we can expand long enough so we can round it the millions place.

One million has six zeroes. This means that a millionth is six decimal places over (0.000001 is one millionth). Same goes for other base ten numbers (100 has two zeroes, one hundredth is two decimal places over)

We see that there is a line over the 45 in our decimal. This means that after this 45 it is going to go 4545454545.... forever. We want to round to the nearest millionth. However, when you round, you need the next digit over. Let’s expand our to the ten millionth (seven digits.)
6.2145454............
Now, we look at our millionths place. The next place over is four. Therefore, we round down. Therefore, the answer is D) 6.214545

QUESTION 18
Solving questions like this is very simple. With proportions (two equal ratios of fractions) the product of the diagonal sides are equal. So, you just multiply the two numbers that are diagonal from each other and then divide it by the other number and you have your x. If you want, I can explain to you more why this works.

7(2/7)=2
2/2 1/4= 8/9

Therefore, the answer is 8/9.

I hope this has been helpful! If you need anymore help please ask! :D

Help. Will give brainliest

Answers

Area A = 5*3 = 15
Area B = 6*2 = 12
Area A > Area B
Area = length*width

Answer:

The rectangle (A) has the largest area.

Step-by-step explanation:

To work out the area of the rectangle you have to multiply the width with the height.

A: 3 squares tall, and 5 squares wide. We have to multiply 3 with 5 which equals 15.

B: 2 squares tall, and 6 squares wide. We have to multiply 2 with 6 which equals 12.

The highest answer or area is 15. Which is Rectangle A.

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Geese Company utilizes the dollar-value LIFO retail inventory method. Its cost-to-retail percentage is 60% based on beginning inventory and 64% based on current-period purchases. The company determined that beginning inventory at retail was $200,000 and that ending inventory at current-year retail prices was $250,000. The current-year price index is 1.10. Rounding to the nearest dollar, ending inventory at base-year retail prices would be _______. In converting 10 pounds to ounces, what unit (omit the number) would youplace in the numerator of your ratio? Use the plural form in your answer.Remember that there are 16 ounces in 1 pound. at which value(s) of x does the graph of the function f(x) have a vertical asymptote? According to this passage, which statement best summarizes the role of social relationships and mental health ? Please answer correctly !!!!!!!!! Will mark brianliest !!!!!!!!!!!!! In Seaton Park school, 60% of the boys play baseball and 24% of the boys play baseball and football. What percentage of those that play baseball also play football? Choose EVERY true proportion.AB - DEOAB - ACAB - BOBDACBCDE Male birds of paradise are known to sometimes dance and throw feathers over their body when females are present. This behavior is the bird of paradise's method of _______. How long does it take for sedimentary rock to melt into magma Cotton On Ltd. currently has the following capital structure: Debt: $3,500,000 par value of outstanding bond that pays annually 10% coupon rate with an annual before-tax yield to maturity of 12%. The bond issue has face value of $1,000 and will mature in 20 years. Ordinary shares: $5,500,000 book value of outstanding ordinary shares. Nominal value of each share is $100. The firm plan just paid a $8.50 dividend per share. The firm is maintaining 4% annual growth rate in dividends, which is expected to continue indefinitely. Preferred shares: 45,000 outstanding preferred shares with face value of $100, paying fixed dividend rate of 12%. The firm's marginal tax rate is 30%. Required: a) Calculate the current price of the corporate bond? (4 marks) b) Calculate the current price of the ordinary share if the average return of the shares in the same industry is 9%? (3 marks) c) Calculate the current price of the preferred share if the average return of the shares in the same industry is 10% (3 marks) Which of the following does the graph show? Starting with $5,000, you invest in an account that pays 2% APR, compounded quarterly, and plan to leave the money there and not touch it for at least 12 years. How much MORE money would you have after 12 years if the interest had been compounded continuously instead? Round to the nearest cent. 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The steep trails and rocky terrain made the hike a real bear. Which statement about this sentence is true? The sentence gives an example of connotation, because it uses the word bear to suggest that the hike was extremely difficult. The sentence gives an example of connotation, because it uses the literal meaning of the word bear. The sentence gives an example of denotation, because it uses the word bear to suggest that the hike was extremely difficult. The sentence gives an example of denotation, because it uses the literal meaning of the word Consider the system of inequalities and its graph. y 0.75x y 3x 2 On a coordinate plane, 2 solid straight lines are shown. The first line has a negative slope and goes through (negative 8, 6) and (0, 0). Everything below the line is shaded. The second line has a positive slope and goes through (negative 2, negative 8) and (2, 4). Everything to the right of the line is shaded. 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