At a sale, coats were sold for $17 each. If the coats originally cost $20 each, what percentage of its original price was a coat sold for?

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: 320.48

Step-by-step explanation: Calculator work (:

Answer:

320.486486

Step-by-step explanation:

Not entirely sure if this is correct.

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:

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:

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:

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

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Answer:

3/8

Step-by-step explanation:

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:

18.65

Step-by-step explanation:

Answer: (75, 135)

Step-by-step explanation:

Because the empirical rule is 3 standard deviations of the mean you would add and subtract to get your desired interval.

In this case our mean is 105 and our deviation is 10.

What you would do is add 10 to 105, 3 times to find your greatest number and the you would subtract 10 from 105, 3 times to get your lowest number.

105 + 10 + 10 + 10 = 135

105 - 10 - 10 - 10 = 75

Answer: (75, 135)

Answer:

Step-by-step explanation:

The answer is 85,125

Answer:

(-1 , 2)

Step-by-step explanation:

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:

7

Step-by-step explanation:

Answer:

4 and 1

Step-by-step explanation:

theyre beside each other

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:

2x² + 2x +3x +3= 2x² + 5x + 3

Answer:

Tn=a(n-1)d

T50=261(50-1)-5

T50=12784

Answer: hey mate i have you answer

Step-by-step explanation: Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Answer:

Sample Response: If the data is collected in a biased manner, the graph could be skewed. Also, if the number of observations is too small, the graph can be skewed. To ensure the data is not skewed, collect a large representative unbiased sample

Step-by-step explanation:

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:

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:

37.7 (approx.)

Step-by-step explanation:

The radius of the biggest circle is 3+2=5. And so the area is [tex]\pi (5)^2 = 78.54[/tex]. In the same way, the area of the two small circles are [tex]\pi (3)^2 = 28.27[/tex] and [tex]\pi (2)^2 = 12.57[/tex]

So, the area of shaded region = Area of the biggest circle - (area of small two circles)

[tex]= 78.54 - (28.27 + 12.57)\\37.7 (approx.)[/tex]

Answer: ur answer would be (1,5)

Step-by-step explanation:

Hope this helps! Have a good day! :)

Answer:

Really?

Step-by-step explanation:

Answer:

Ik

Step-by-step explanation:

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:

|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:

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.

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