Find the exact value of the trigonometric function given that sinU=-7/25 and cosV=-4/5 (Both U and V are in Quadrant III)

sin(V-U)

cos(U-V)

Answers

Answer 1

cosU:-

[tex]\\ \rm\longmapsto \sqrt{1-sin^2U}=\sqrt{1-49/625}=24/25[/tex]

As U lies in Q3

cosU=-24/25

sinV

[tex]\\ \rm\longmapsto \sqrt{1-cos^2V}=\sqrt{1-16/25}=3/4[/tex]

As V lies in Q3

sinV=-3/5

So

sin(V-U)=sinVcosU-cosVsinU=(-3/5)(-24/25)-(-4/5)(-7/25)=72/125-28/125=72-28/125=44/125cos(U-V)=cosUcosV+sinUsinV=(-24/25)(-4/5)+(-7/25)(-3/5)=96/125+21/125=117/125

Related Questions

need help with math problem if do 5 star and brain point

Answers

Answer:

1. 7

2. 6

3. 35

Step-by-step explanation:

1. 35:60 = 7:12

2. ratio is 60:10 so 6:1 so 6

3. total number is 175.

ratio would be 175 :35 so 35:5

What is the volume of a cube whose edge measures 21 centimeters each

Answers

Question :-

What is the Volume of a Cube, whose Edge measures 21 cm each .

Answer :-

Volume of the Cube is 9261 cm³ .

[tex] \rule {180pt} {2pt} [/tex]

Given :-

Edge of the Cube = 21 cm

To Find :-

Volume of the Cube = ?

Solution :-

As per the provided information in the given question, we have been given that the Edge of the Cube is 21 cm . And, we have been asked to calculate the Volume of the Cube .

For calculating the Volume , we will use the Formula :-

Volume of Cube = ( edge )³

Therefore , by Substituting the given values in the above Formula :-

⇒ Volume = ( edge )³

⇒ Volume = ( 21 )³

⇒ Volume = 21 × 21 × 21

⇒ Volume = 441 × 21

⇒ Volume = 9261

Hence :-

Volume = 9261 cm³ .

[tex] \underline {\rule {180pt} {4pt}} [/tex]

Help pls help me with homework

Answers

What did you need help with which part

(b) The pizzeria sold 85 pizzas yesterday. Suppose the number of pizzas sold today was 60. Determine the percent increase or decrease in the pizzas sold, rounded to the nearest hundredth. Show your work.
_____________ % (Increase or decrease?)
PLEASE SHOW WORK thank you :D

Answers

Answer:

The difference is 21.21%

work shown below

Step-by-step explanation:

I'm going to first find the difference between both.

85-60=25

Now, we have to find 25% of 85

We don't have to use the formula, we can do this in our brain, like this -

We can see that 25% of 80 = 20, since 25 = 1/4, and 1/4 of 80 = 20, then, there is the 5 part left, how do we find that??? well, 25% of 5 = 1.25, since 1.25x5=5,

So hence, our answer is 21.25

Hi! 29.4118 (decrease) is your answer. My work's below!

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

Here's a formula for percentages I've used...

(Old # - New #  ) /Old # x 100

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

In this case, the old number is 85, and the new number (today's pizza number) is 60.

(85 - 60) / 85 x 100 =

(85 - 60 = 25)

25 / 85 = 0.29411764705

0.29411764705 x 100 =  29.411764705

Now, round it to the nearest hundredth.

29.4118  (decrease)

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

Good luck! :)

~pinetree

Find the s.....................

Answers

Answer:

AC = 8

Step-by-step explanation:

Area of kits is half the product of diagonals

[tex]Area\; of \;kite = \frac{d_1d_2}{2}\\\\36 = \frac{AC*BD}{2} \\\\36 = \frac{AC(6+3)}{2} \\\\36*2 =9AC[/tex]

AC = 72/9

AC = 8

Salma operates a ramen restaurant. Historically, half of customers order pork ramen, and the other half of customers are split evenly between chicken and vegetarian ramen. Salma modified the chicken and vegetarian recipes, and she wonders if customers' ordering habits will change. Here are results from a sample of 323232 orders after launching the new recipes along with a chi-square goodness-of-fit test:

Type of ramen Pork Chicken Vegetarian
Historical distribution 50% 25% 25%
Observed 15 4 13
Expected 16 8 8
Components 0.06 2 3.13
x^2 = 5.19, gl = 2
Valor p=0.075

What type of ramen contributed the most to the test statistic?

a. Pork ramen
b. Chicken remen
c. Vegetarian ramen

Answers

The type of ramen that contributed the most to the test statistic is C. Vegetarian ramen.

What is test statistic?

It should be noted that test statistic simply means a method in statistics that's is used to decide whether a data supports a hypothesis.

In this case, the type of ramen that contributed the most to the test statistic is the vegetarian ramen based on the percentage allocated. There's also sufficient evidence to conclude that rte proportion changed.

Learn more about test statistic on:

https://brainly.com/question/4621112

Answer: Vegetarian ramen

Step-by-step explanation:

Whats the answer for 12.3 x 1.2 =

Answers

14.76

12.3

*

1.2. =14.76

Answer:

14.76

Step-by-step explanation:

12.3 x 1.2=

12.3

x 1.2

--------

  24.6

+123.0

---------

14.76

The final grade for a class is calculated by taking 75% of the
average test score and adding 25% of the score on the final exam. If all
scores are out of 100 and a student has a 76 test average, what score does
the student need on the final exam to have a final grade of at least 80?

Answers

Answer: I pretty sure the answer is 92!

Step-by-step explanation:

75% of the test score would be 76 x 0.75 = 57

80-57 = 23

They need 23 more points to get an 80

The 23 is 25% of the final exam grade so they would need to score a 23 x 4 = 92 on the final exam


answer: 92

Examine the two boxes.
Box A
Box B

How much greater is the surface area of Box A than Box B?

Answers

Answer:

Box A is greater than Box B by 34.

Step-by-step explanation:

First, you need to start with finding the surface area of every individual side   on Box A we have side A, B, and C. After finding the individual area for each side,  double each area because there is two of each side. This is the the same method you apply to Box B.

Then subtract the surface area of Box B from Box A.

Marcia wants to get a new car stereo. She researches the cost with a variety of local car stereo installers and places her findings in a stem-and-leaf plot

Answers

Answer:

I didn't understand properly, but if your question is what the median is, then it's $115.

Step-by-step explanation:

Don't have one sorry,

A house is on an 80,000 square foot lot. About how many acres is the lot?

Answers

Answer:

There

Step-by-step explanation:

mark me brainliest!!

Answer:

1.836 acres

Step-by-step explanation:

Kindly help me to solve.

Answers

Answer:

statement : ABCD is a parellogram reason: given

how many times can 64 go into 865?

Answers

How many times can 64 go into 865?

Answer: 12 times

Prove triangle congruence by SSS and SAS

Answers

Answer:

Step-by-step explanation:

Paul, Shawn and Tim have a box of marbles. Paul has 1/5 of the marbles. Shawn has 3/8 of the remainder and Tim has has the rest of the marbles. Tim has 84 marbles more than Paul. How many marbles are in the box?​

Answers

Answer:

374 marbles

Step-by-step explanation:

Paul (P) has 1/5 this was given

Shawn (S) has 3/8 this was given

That means Tim (T) must have 17/40 because 1/5 + 3/8 = 23/40 and 1- 23/40 = 17/40

Those are the fractional amounts each boy has. We can set up an equation based on the information in the problem to get the total number of marbles (M). Tim has 84 marbles more than Paul. Thus, Tim has a greater number of marbles. 84 more, to be exact. Our equation would then look like this:

P+84=T

Because we have three unknowns, we need three equations. Thus, we need two more, but we can get them from our fractions at the top.

We need to have a question where we find the total number of marbles.

We know that Paul has 1/5 of the marbles. We can use M to represent the total number of marbles.

P = (1/5)M

T= (17/40)M

We had this from before: P+84=T

If we substitute into the equation:

(1/5)M + 84 = (17/40)M

Now there is only one variable in the equation and we can solve for M.

For M, I got 1120/3 which simplifies to 373 and 1/3, since there cannot be 1/3 of a marble, we can round to 374. There are three hundred, seventy-four marbles in the box.

If you want to check the answer, you can put (1120/3) back in for M in the third equation and you will see that each side is equivalent.


6. One side of a rhombus is 14 inches long, and one diagonal of the rhombus is 15 inches
long. What is the area, in square inches, of the rhombus?

Answers

Answer:

3.31

Step-by-step explanation:

14ª1 is 718th 15/10 is equal to 15 and 10 tenths

The number of paintings Jurnee can make varies directly with the amount of time she spends making the paintings. She can make two paintings in 1/4 week. How many paintings can Jurnee make in three weeks?

Answers

Answer:

24 is the answer

Step-by-step explanation:

1/4x4=2 per 1/2 week she can make 4

1/2x4=8 per week

and 8x3=24 so 24 per week

I hope this helped :)

Determine if true:
1y+8y+10y=20y

Answers

Answer:

False

Step-by-step explanation:

1+8=9

9+10=19

1y+8y=9y

9y+10y=19y

19y=20y

The equations dont match.

Hence, the equation is false.

Answer:

False.

Step-by-step explanation:

1+8+10 is 19. 19 is not equal to 20.

What is the surface area of a cone that has a radius of 5 units and a
height of 10 units? Use 3.14 for i and round your answer to the
nearest whole number.

Answers

Answer:

254 units^2

I took the test and got it correct.

The surface area of a cone that has a radius of 5 units and a

height of 10 units is 508.06 square units.

What is surface area?

Surface area is the total area of the exposed surfaces of a three-dimensional object. It is the sum of all the areas of the exposed faces of the object, including any curved surfaces. The formula to find the surface area of a cone is A=πr(r+√(h²+r²)).

Given that, radius of a cone is 5 units and the height of a cone is 10 units.

Surface area = 3.14×10(5+√(10²+5²)

= 508.06 square units

Therefore, the surface area of a cone that has a radius of 5 units and a

height of 10 units is 508.06 square units.

Learn more about the surface area of cone here:

https://brainly.com/question/23877107.

#SPJ2

HELPPP PLS SHOW WORK

Answers

Answer:

61

Step-by-step explanation:

1. let the unknown be x

2. using theorem of Pythagoras that states the hypotenuse will be equal to the sum of the other two sides we can determine that 75=14+X

3. this implies that X=75-14

4. therefore X= 61

Phil will be moving into a new apartment. If he lives alone, his rent will cost $400 per month. If he has a roommate, the total rent will be 30 percent more, but he will pay only half of it. How much money will Phil save on rent per month by having a roommate?

Answers

Answer:

$140

Step-by-step explanation:

Rent alone = 400

Rent with roommate = (400 + 30%) / 2
= (400 + 120) / 2

= 520 / 2

Rent with roommate = 260

400 - 260 = 140

You play basketball at your school’s indoor stadium. You have two payment options. Option A is to buy a membership card for $20 and pay $2 each time you go to the gym, t. Option B is to pay $4 each time you go. After how many trips to the gym will the costs be the same?

The costs are the same after
trips to the gym.

Answers

Answer:

10 times

Step-by-step explanation:

Let x be the amount of times you go to the gym

Option A would be 20+2x

Option B would be 4x


now the question is after how many trips would the cost be the same?


20+2x=4x

Solve the equation so

20=4x-2x

20=2x

X=10

It would take 10 times for the cost to be the same for both options

In quadrilateral ABCD, AB ||CD which additional peice of information is needed to determine that ABCD is a parallelogram

Answers

Answer:

BC||AD

Step-by-step explanation:

A parallelogram is said to be parallelogram iff it's opposite pairs of sides are parallel to each other.

Since one pair is parallel (given)

then another pair needs to be parallel.

Hence BC||AD

Is there any outliers? Explanation needed, if yes. If no, then I don’t need one. Thank you!

Answers

Answer:

No there are not any outliers

Write the equation of the transformed graph of tangent with period 4 that has
been shifted vertically up 3 units. (3 points)

Answers

Answer:

  g(x) = 3 + tan(πx/4)

Step-by-step explanation:

A tangent function has a period of π. In order to make it have a period of 4, it needs to be stretched horizontally by a factor of 4/π. A function is stretched horizontally by a factor of k by replacing x with x/k.

In order for the function to be shifted vertically up by 3 units, 3 must be added to the function value. That is, the transformed function becomes ...

  g(x) = tan(x/(4/π)) +3

  g(x) = tan(πx/4) +3


Find the constant rate of change for each linear function and interpret its meaning

Answers

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

[tex](\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}[/tex]

Solve for all missing sides and angles.

Answers

Answer:

Step-by-step explanation:

Sum of interior angles in a triangle is 180degree.

<B + 15degree + 45degree = 180degree

<B = 180 - 45 - 15 = 120 degree

By sine rule,

sin<B / AC = sin<C / AB = sin <A / BC

sin120degree / 200 = sin15degree / AB = sin45degree / BC

AB = 200*sin15degree/sin120degree

= 59.77

BC = 200*sin45degree/sin120degree

= 163.30

Maya has 760 carrots. 27% of them went rotten. What number of the carrots ARE'NT rotten?

Answers

Answer:

About 554 carrots aren't rotten.

Step-by-step explanation:

100% - 27% = 73%

73% = 0.73

760 x 0.73 = 554.80

Answer:

205.2 carrots went rotten

Step-by-step explanation:

27% of 760 = 205.2

I hope I'm not too late and that this helps!

If it does, please give me brainliest :)

A cab ride from your home to the airport cost $23.47. If you want to tip the cab driver close to 10 percent of the fare, how much should you tip?

Answers

Answer:

$2.35

Step-by-step explanation:

Multiply $23.47 by 10%

10% of $23.47 is $2.35

mathematics help ...

no links

Answers

Answer:

Ok ------------------

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