Simplify. Write your answer without parentheses

Answer: [tex]\dfrac{6\sqrt{2}+\sqrt{7}}{12},\ \dfrac{-3-2\sqrt{14}}{12}[/tex]

Step-by-step explanation:

Given

x and y is in the fourth quadrant

[tex]\sin x=-\dfrac{1}{3}\\\\\cos y=\dfrac{3}{4}[/tex]

we know,

[tex]\cos (x-y)=\cos x\cos y+\sin x\sin y\\\sin (x+y)=\sin x\cos y+\cos x\sin y[/tex]

using  [tex]\sin ^2\theta +\cos^2 \theta =1[/tex]

[tex]\Rightarrow \cos x=\dfrac{2\sqrt{2}}{3}\\\\\Rightarrow \sin y=-\dfrac{\sqrt{7}}{4}[/tex]

[tex]\Rightarrow \cos(x-y)=(\dfrac{2\sqrt{2}}{3})\times (\dfrac{3}{4})+(-\dfrac{1}{3})\times (-\dfrac{\sqrt{7}}{4})=\dfrac{6\sqrt{2}+\sqrt{7}}{12}\\\\\\\Rightarrow \sin (x+y)=(-\dfrac{1}{3})\times \dfrac{3}{4}+\dfrac{2\sqrt{2}}{3}\times (\dfrac{-\sqrt{7}}{4})=\dfrac{-3-2\sqrt{14}}{12}[/tex]

Answer:

3.142 × 4.5 (half of 9) (squared) , 4.5squared = 63.62 = 64m

Answer: ur answer would be (1,5)

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

|x-5|=2

Step-by-step explanation:

1- Find the mid value between the given numbers 3 and 7

(3+7)/2= 10/2 = 5

2- Find the difference btween the mid value (5) and any of the two given numbers (3 or 7). Use the absolute value for the difference.

|5-3|= 2 or |7-5|=2

3- Arrange the absolute equation like this:

|x-mid value from step 1|= absolute difference from step 2

|x-5|=2

4- Double check the answer with the given values 3 and 7 using our equation |x-5|=2

|3-5|=2 correct

|7-5|=2 correct

Answer:

I got- 18.2

Step-by-step explanation:

I have this on a exam im working on right now.

The perimeter of the hexagon is 12 + 2√5 + √2

The distance between two points of a line is given as:

Distance = [tex]\sqrt{(c - a)^2 + (d - b)^2}[/tex]

Where (a, b) an (c, d) are the two points.

We have,

Hexagon PQRSTU.

Vertices.

P = (–1, 0)
Q = (–1, 3)

R = (1, 4)

S = (2, 5)

T = (4, 4)

U = (4, 0)

Now,

We can make 6 lines.

PQ, QR, RS, ST, TU, and PU

We find the distance between each line.

PQ = [tex]\sqrt{(-1 + 1)^2 + (3 - 0)^2}[/tex] = 3

QR = [tex]\sqrt{(1 + 1)^2 + (4 - 3)^2}[/tex] = √5

RS = [tex]\sqrt{(2 - 1)^2 + (5 - 4)^2}[/tex] = √2

ST = [tex]\sqrt{(4 - 2)^2 + (4 - 5)^2}[/tex] = √5

TU = [tex]\sqrt{(4 - 4)^2 + (0 - 4)^2}[/tex] = 4

PU = [tex]\sqrt{(4 + 1)^2 + (0 - 0)^2}[/tex] = 5

Now,

The perimeter of the hexagon.

= 3 + √5 + √2 + √5 + 4 + 5

= 12 + 2√5 + √2

Thus,

The perimeter of the hexagon is 12 + 2√5 + √2

Learn more about distance of a line here:

https://brainly.com/question/14645718

#SPJ6

Answer:

38

Step-by-step explanation:

Just substitute it. The equation becomes

70 - 4(8)

70 - 32 = 38

Answer:

38

Step-by-step explanation:

70 - 4a =

70 - 4*8=

70 - 32= 38

Answer:

Step-by-step explanation:

Two lines are perpendicular if and only if the product of their slopes is . In other words, the slope of a line that is perpendicular to a given line is the negative reciprocal of that slope. Thus, for a line with a given slope of 3, the line perpendicular to that slope must be the negative reciprocal of 3, or .

Answer:

Its 2x + 0.

Step-by-step explanation:

This is because, the 2 represents the slope or rate of change and the 0 represents the initial value/y-intercept, since the snow started at 0 inches.

Answer:

Really?

Step-by-step explanation:

Answer:

Ik

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Answer:

4 and 1

Step-by-step explanation:

theyre beside each other

Answer:

1/2

Step-by-step explanation:

As you probably know 10 is double the size/amount of 5, but instead of just putting 2 you would put 1/2. That is because it is a scale factor of a scale drawing, which is not the same size and is supposed to be smaller because you can't draw a house on a paper that would fit it literally ;)

Hope this helps!

Answer:

It would be around 48 so D

Answer:

D - 48

Step-by-step explanation:

Only Answer Closest... look at where the others are and see where ten is and where the y value would be in the point.

Answer: 320.48

Step-by-step explanation: Calculator work (:

Answer:

320.486486

Step-by-step explanation:

Not entirely sure if this is correct.

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer:

Step-by-step explanation:

We have r = 0.97

Same applies to negative side

Correct choice is

To explain it in very simple way, consider a linear equation:

Number of text messages is the linear function of the data plan. r = 0.97 shows this relationship is almost a perfect line with positive slope.

- There is a strong positive linear correlation between the size of a cell phone data plan and the number of text messages sent is your answer

Answer:

2

Step-by-step explanation:

okay so imagine this, you have one cookie and you get another cookie. how many cookies do you have now? 2

Answer:

hmmmmm....

it should be 2 but i'm not sure cuz this question was pretty hard.

Answer: 1 1/2, 3/2, or 1.5

Step-by-step explanation: Convert expression into unproper fractions, 13/6, and 9/2. Then by changing 13/6 into a denominator with 2, you multiply and it equals 1 1/2.

Answer:

(-1 , 2)

Step-by-step explanation:

Answer:

The answer is 122

Step-by-step explanation: 0.25 is the constant proportionality in this equation .

let meh know if you need more answers ✨✨

Answer:

1222

Step-by-step explanation:

Answer:

4 more hours

Step-by-step explanation:

First, you know that Citlali is traveling 60 miles per hour so he travels 60 miles every hour. He has already traveled 120 miles so you subtract 120 from 360 because that is the amount of miles Citlali now has to travel. Then, you know that she travels 60 miles per hour so the equation will be 60x=240. Then, you divide 60 in both sides and get x=4. Therefore, it will take four more hours until he arrives at California.

Hope this helps

Answer: 12,503 people

Step-by-step explanation:

This is an exponential decrease so to find the population in 8 years you have to use a future value formula:

= Amount * (1 + rate) ^ number of years

= 15,000 ( 1 + (-2.25%)) ⁸

= 15,000 * (1 - 2.25%)⁸

= 12,503.32

= 12,503 people

Answer: [tex]35,000\ cm^3[/tex]

Step-by-step explanation:

Given

The earring box has a volume of [tex]a=5\ cm[/tex]

It is packed and loaded in the container which has 4 layers and each layer has  7 rows and 10 columns

We can say that each layer can hold [tex]7\times 10=70\ \text{boxes}[/tex]

The volume of each earring box is

[tex]V_o=a^3=5^3\\V_o=125\ cm^3[/tex]

Four layers can hold [tex]4\times 70=280\ \text{boxes}[/tex]

the container can hold 280 boxes

[tex]\therefore \text{Volume of container is}\ V=280V_o\\\Rightarrow V=280\times 125=35000\ cm^3[/tex]

Answer:

3/8

Step-by-step explanation:

Answer:

the answer is 320

Step-by-step explanation:

just did the instruction

Answer:

320

Step-by-step explanation:

To find the volume, you multiply length times width times height, which is 3x1x2, which equals six. Whereas the basic formula for the area of a rectangular shape is length × width, the basic formula for volume is length × width × height.

Wow look at my full percent battery

Answer:

The most convenient option for Logan is A, since he will pay a lower amount than if he chose option B.

Step-by-step explanation:

Given that Logan is taking a loan out to buy a $ 4000 right for his wife, and he has two finance options, Option A, which gives a five year loan with a% 7 interest rate compounded quarterly, and Option B, which gives an eight year loan with a 5.5% interest rate compounded annually, to determine which option should be chosen, the following calculation must be performed:

Option A:

X = 4,000 (1 + 0.07 / 3) ^ 5x3

X = 5,653.49

Option B:

X = 4,000 (1 + 5.5 / 1) ^ 8x1

X = 6,138.75

Thus, the most convenient option for Logan is A, since he will pay a lower amount than if he chose option B.

Answer:

628.57CM²

Step-by-step explanation:

20/2=10

VOLUME OF CYLINDER=PIR^2H

22/7*10*10*2=628.57

Answer:

5. x= 13 y= 18.4

6.

Step-by-step explanation:

question 5:

tan45=x/13

multiply both sides by 13 to get x by its self.

end up with 13×tan45 so put that in the calculator to get x

then you do cos45= 13/y

multiply by y on both sides.

end up with y×cos45=13

divide the cos45 by both sides

put 13/cos45 to get y

question 6:

sin30=4/x

multiply x on both sides

end with x×sin30 =4

divide sin30 on both sides

put 4/sin30 in a calculator to get x

same thing again but with tan30 ahaha

Answer:

153.86 and 75.36

Step-by-step explanation:

The first circle (orange one) has a circumference of 153.86 while the other circle has a circumference of 75.36.