Given that sinФ = 8/17 and cos Ф < 0:

In which quadrant does the terminal side lie when it is placed in standard position?

What is the value of CosФ? CosФ =

What is the value of tanФ? TanФ =

Answers

Answer 1

Answer:

1) The terminal side lies in quadrant 2

2) cosФ = -15/17

3) tanФ = -8/15

Step-by-step explanation:

1) First, we should realize that since sinФ = 8/17, it is positive. Thus, Ф must be in quadrants 1 or 2. And since cosФ is negative, Ф must be in quadrant 2 because cos, sin, and tan are all positive in quadrant 1

2) Next, we must realize that the sides given are a 8-15-17 right triangle. And in this case, since sinФ = 8/17, cosФ should be 15/17. But since cosФ is negative, cosФ = -15/17

3) Lastly, tanФ is opposite/adjacent. Since opposite of Ф is 8 and adjacent of Ф is 15, then tanФ should be 8/15, but since Ф is in quadrant 2, then tanФ is -8/15


Related Questions

The president of a computer company must decide whether to place the company's new laptop on the market now or wait another year and continue with product testing.


The company's employees inform the president that if he releases the laptop now and no competitive devices enter the market, there will be a profit of $120,409.00; however, if he releases the laptop now and a competitive device enters the market, there will only be a small profit of $29,698.00. The company's employees also inform the president that if he waits another year and no competitive device enters the market, there will be a profit of $84,742.00; however, if he waits another year and a competitive device enters the market, there will be a loss of $59,396.00.


Suppose the company determines that there is a 22% chance that a competitive device will enter the market. What should the president do to maximize the expected profit over the next year?

Answers

Answer:

The president should release the new laptop now

Step-by-step explanation:

The profit if the new laptop is released now and no competitive device enters the market = $120,409.00

The profit if the new laptop is released now and a competitive device enters the market = $29,698

The profit if the new laptop is released in a years time and no competitive device enters the market = $84,742.00

The loss if the new laptop is released in a years time and a competitive device enters the market = $59,396.00

The chance that a competitive device will enter the market = 22%

∴ The chance that a competitive device will not enter the market = 1 - 22% = 78%

The expected increase in profit the company can make, compared to next year, if the new laptop is released and no competitive device enters the market = ($120,409.00 - $84,742.00) × 78% = $27,820.26

The expected increase in profit the company can make, compared to next year, if the new laptop is released and a competitive device enters the market = ($29,698.00 - $59,396.00)×0.22 = ($6,533.56) loss

Therefore, to maximize the expected profit over the next year, the president should release the new laptop now to make an expected profit of $27,820.26 over the next year.

A cylindrical water tower has a base radius of 9 ft and a height of 11 ft. How many gallons of paint would it take to paint the entire tank if one gallon covers 200 square feet? find the surface area and # of gallons

Answers

Answer:

200 gallongs

Step-by-step explanation:

Two actors were rated by 11 casting directors on their audition performance.
Joey was given the list of his 11 scores:
65, 70, 70, 80, 80, 85, 85, 85, 90, 90, 100
Drake was given his scores in the form of a box plot:

[picture above]

1. Which actor had better overall scores on their audition performance?

2. Which actor had greater variability in their scores?

Answers

Answer:

I belive drake had a better score and variblity.

Step-by-step explanation:

step and justification of root√3.5​

Answers

[tex] \large \boxed{ \boxed{ \sqrt{3.5} }}[/tex]

In this case, we are going to use the 'Babylonian method to get the square root of any positive number.We must define an error for the final result.Say, less than 0.01. In other words, we will try to find the value of the square root to at least 1 correct decimal places.

Step 1:

Divide the number (3.5) by 2 to get the first guess for the square root. first guess = 3.5 / 2 = 1.75.

Step 2:

Divide 3.5 by the result obtained in stepprevious. d = 3.5 / 1.75 = 2.Roll the arithmetic mean of (d) and the obtained valuein step 1: (2 +1.75) / 2 = 1.875 (new

approach).

Error = new guess - previous value = 1.75 1.875 = 0.125.0.125 0.01. As the error> accuracy, please repeat thist happened one more time.

Step 3:

Divide 3.5 by the result obtained in the previous step. d = 3.5 / 1.875 = 1.8666666667.Roll the arithmetic mean of (d) and the value obtained in step 2: (1.8666666667 + 1.875) / 2 =1.8708333334 (new approximation).Error = new guess - previous value = 1.875 -1.8708333334 = 0.0041666666

0.0041666666 <0.01. Once the error <accuracy, stop the process and use 1.8708333334 as the final value for the square root.Then we can say that the square root of 3.5 is 1.87 with an error less than 0.01 (actually the error is 0.0041666666). This means that the first 2 decimal places are correct. Just for comparison, the returned value using the javascript function Math.sqrt (3.5) 'is 1.8708286933869707.

Note: There are other ways to calculate square root. This is just one of them.

[tex] \bold{brainlymentalmente}[/tex]

i need help with geometry

Answers

Answer:

Step-by-step explanation:

60+20=80

Answer:

Step-by-step explanation:

sorry but i,m not sure

Which of the x-values are solutions to the following inequality?
x <100
Choose all answers that apply:

Answers

Answer:

x=54

x=89

Step-by-step explanation:

I think it is the answer

A number X rounded to 2 decimal places is 7.42. Write down the error interval for X

Answers

Answer:

X = [7.415,7.419].

Step-by-step explanation:

The number is 7.42 so the thousandth place is from 5 to 9 and hundredth place is 1. i.e. 7.415, 7.416, 7.417, 7.418, 7.419. As 7.415 rounded to 2 decimal place is 7.42. The interval in x[7.415, 7.419].

Find the range. 15,18,13,17,15

Answers

The answer is 5. The biggest number - the smallest number (18-13=5)

WILL GIVE BRAINLY IF CORRECT!!! The box plot below represents some data set. What is the range of the data?

Answers

Answer:

75

Step-by-step explanation:

95-25 becasue range is the biggest-smalest=75

The triangle on the grid will be translated two units left. which shows the triangle translated 2 units left

Answers

Answer:

Take the coordinates of each vertex (corner point) and subtract 2 from the x-coordinate; leave the y-coordinate alone.

Step-by-step explanation:

Example: If one vertex is the point (5, 3), then it moves left 2 units to (3, 3).

If a vertex is at (-3, 1), then it moves 2 units left to (-5, 1).

Circle
Pls help
Due soonnnnnnn

Answers

Answer:

First we solve the radius and then we use the formula for finding the equation of circle.

Henry's paycheck was 3,200$. He spent 25% of his paycheck on rent and 0.37 of his paycheck on other expenses. How much money did henry have left?

Answers

Answer:

3,138

Step-by-step explanation:

hope this helps!

Find the vertex and symmetry for each problem.

y=3X^2+6X+1

y=2x^2-8x+3

y=x^2-10x+25

y=5(x+2)^2+1

y= -2x^2+8x+7

y=23x^2-7

y= -(x+1)^2

y=3x^2-24x+6

y=(x-5)^2+3

y=2.5x^2-15x+9

Answers

Solve the equation for

x

by finding

a

,

b

, and

c

of the quadratic then applying the quadratic formula.

Exact Form:

x

=

3

±

6

3

Decimal Form:

x

=

0.18350341

,

1.81649658

need help fast !!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

D. 18

Step-by-step explanation:

12.50 x 18 = 225

hope it helps :)

help please now!!!!!!!

Answers

The hight is about 113 ft

Im not sure about the second one sorry

Choose the missing prefix.
"One one-hundredth meter" means the same as
_____ meter. PLZZ GET IT RIGHT

Answers

Answer:

Centi :)

Step-by-step explanation:

Answer:

The person above me is correct.

Step-by-step explanation:

One one-hundredth meter is the same as 1 centimeter.

You make a bet on a horse race. There's a 10% chance of making $300 and a 5% chance of making $500. There's an 85% chance of losing $75. What's the expected value of this bet?

Answers

425 or 225 i think im not really sure

12 6x/3=5-9/2

i need help

Answers

The correct answer is 12

Answer:

x=1/4

Step-by-step explanation:

x=0.25

The equation y = 450x represents the number of miles alrplane traveled y ot x hours. The graph below shows the number miles a 5hour flight , after 2 hours which airplane had traveled the farther and by how much ? I need help

Answers

Answer:

y = 200x.....the airplane travels 8000 miles in 40 hrs

Step-by-step explanation:

Answer:

Airplane W by 100 miles

Step-by-step explanation:

Airplane Z

y = 450x

Distance travelled after 2 hours

y = 450(2)

y = 900 miles

------------------------

Airplane W

Distance travelled after 2 hours

Reading from the graph

1000 miles

----------------------

after 2 hours which airplane had traveled the farther

Airplane W

and by how much

1000 - 900 = 100

this true or false????????? ill give brainliest if right

Answers

Answer:

This is false.

Step-by-step explanation:

Hope this helps!!

9514 1404 393

Answer:

  False

Step-by-step explanation:

A relation is a function if and only if there is exactly one output for each input. Any relation map with two or more arrows coming from any input is NOT a function.

Here, the input "2" has two outputs, 4 and 5, so this map does not show a functional relationship.

4x + 11y = -3 and -6x = 18y - 6 (substitution method)

Answers

Answer:

-3 + -6= -9

because there is answer given

What is 1+1 equal? Oh my I am so rich in points I can just spend my way to having someone answer it for me!

Answers

Answer:

x=2

Step-by-step explanation:

1 is = 100%, or 10/10, 1/1, and 1.00

if we have a double of 1, we would double, now 1 and 1=200% 20/10, 2/1, 2.00

turning these franction into whole numbers we will now have

[tex]2\frac{0}{10}[/tex][tex]2\frac{0}{1}[/tex]

so now we have our answer, which is 2

now lets learn 1+1 as pi-

600 students were going on a field trip.
Lunches had to be prepared for them.
Altogether what was the TOTAL number of food and drink items used if each student received:
3 juices
2 pieces of fruit
2 burritos
2 bags of Doritos
1 milk

Answers

Answer:

6,000 total items

Step-by-step explanation:

3*600=1800   (total juice)

2*600=1200   (total fruit)

2*600=1200   (total burritos)

2*600=1200   (total doritos)

1*600=600     (total milk)

1800+1200+1200+1200+600=6000

Please please help with this no links

Answers

Answer:

B. corresponding angles are congruent

The product of -5/7 and -2/5 is​

Answers

Answer:

2/7

Step-by-step explanation:

Answer:

Asnwer:3/2 you divide and simplify you get 6/4 then you divide and there is your answer!! :)

Family vacationers were surveyed at a rest area in the Marion County Test Ares, 1-75

Southbound. The families were asked about what and how they primarily listen to music in

their family cars while on the road,

How many families listened to pop music on the radio?

Answers

Answer:

84

Step-by-step explanation:

From the table Given, the number of families who listen to pop music on radio could be obtained by taking n(pop n radio) ; that is the intersection of pop and radio on the table, this value is 84.

Therefore, the number of families who listen to pop music on radio is 84

Can someone help me with this

Answers

E and F are common factors. 1 goes into 2 and 24 and 2 goes i to 2 and 24.

ITS FOR A TEST PLS HELP
Alyssa is trying to pick out an outfit for the first day of school. She can choose
from 4 pairs of pants, 8 t-shirts, 8 sweaters or hoodies, and 5 pairs of shoes.
How many different outfits does Alyssa have to choose from?

Answers

She can choose from 1280 outfits

4x8x8x5 = 1280

The number of different outfits is 1280

How to determine the number of different outfits?

From the question, we have the following parameters that can be used in our computation:

8 pairs of pants, 6 t-shirts, 6 sweaters or hoodies, and 2 pairs of shoes

The number of different outfits is equal to the products of the count of each apparel.

This is represented as;

Different outfits = Pants * T-shirts * Sweaters or hoodies * Pairs of shoes

Substitute the known values in the above equation;

Different outfits = 4 x 8 x 8 x 5

Evaluate;

Different outfits = 1280

Hence, there are 1280 different outfits

Read more about combination at;

brainly.com/question/11732255

#SPJ2

Which alternative is the NEGATIVE reciprocal of -1/8?*
A-8
B. -1/8
C. 1/8
D. 8

Answers

Answer:

Reciprocal simply means... swap the denominator for the Numerator...

Now negative Reciprocal now means... Swap the denominator by the numerator and Multiply by -1

So

1/-8 becomes

-(-8/1)

=8.

Option D

Use the bar graph below to answer the following question.
What is the difference in height between the two tallest girls?

1 inch
2 inches
3 inches
4 inches

Answers

1 inch or 2. Count the lines between the two tallest girls.
3 inches
subtract tallest to second tallest = 3
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