Find the distance between (−7, 1) and (0, −6). Round your answer to the nearest tenth.

Answer:

x = 17[tex]\sqrt{3}[/tex]

y = 17

Step-by-step explanation:

You would need to use the following trigonometric functions cosine and sin.  Sin is used for the y-variable to get the answer and cosine is used for the x-variable to get the answer.  For this case, you would need to do 34 sin 30 for y and 34 cos 30 for x.  You should get 17 for y and 17 root 3 for x when you put it in the calculator.

The value of each variable are,

x = 17√3

y = 17

We have to give that,

A triangle is shown in the image.

Now, from the triangle we get;

cos 30° = x/34

Solve for x,

√3/2 = x/34

Cross multiply,

34√3 = 2 × x

2x = 34√3

x = 17√3

And, We get;

⇒ sin 30° = y/34

⇒ 1/2 = y/34

Cross multiply,

⇒ 34 = 2y

⇒ y = 17

Hence, the value of each variable is,

x = 17√3

y = 17

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Answer:

3b = 27

Step-by-step explanation:

They will each receive 9 books

Answer:

Hello,I don't think anyone can help you as your question is not there only the subquestions are. Kindly post the main question for assistance.

Regards

Answer:

a) x = 24

b) x = 20

Step-by-step explanation:

a) x÷3 - 2 = 6

+2 +2

x÷3 = 8

×3 ×3

8 × 3 = 24

x = 24

b) x÷5 + 1 = 5

-1 -1

x÷5 = 4

×5 ×5

4 × 5 = 20

x = 24

Answer:

both angles are acute

Step-by-step explanation:

Answer:

Between 3 and 3.5

Step-by-step explanation:

more than 9 and less than 16. 9 is closer to 10 making it c.

Answer:

He would need to walk the dog 6 more times because 8 times 11 is 88 and if he has already walked the dog 5 times you would subtract that from 11 to get 6. So the answer would be 6

Step-by-step explanation:

8·11= 88

11-5= 6

Answer:

the answer is b the solution is 6

Answer:

7.4 years

Step-by-step explanation:

This is a compound interest question, from the question, we know we are to find the time.

The formula for Time in compound interest =

t = ln(A/P) / n[ln(1 + r/n)]

Where:

A = Amount after time t = $4,020

P = Principle = Initial amount invested = $2700

r = Interest rate = 5.4% = 0.054

t = ??

n = compounding frequency = monthly = 12

t = ln(A/P) / n[ln(1 + r/n)]

t = In(4020/2700)/12[In(1 + 0.054/12)]

t = 7.388 years

Approximately = 7.4 years

Answer:

x = 1

Step-by-step explanation:

Rewrite the equation to get x/0.6 = 5/3, since the division sign is the same thing as a slash sign and that 1 2/3 is equivalent to 5/3.  Multiply 0.6 on both sides to get 1 as your final answer.

Answer:

1

Step-by-step explanation:

0.6 times 1 2/3 is 1. in that case, 1 divided by 0.6 is 1.66666666667, also known as 1 2/3 making x = 1

Answer:

16 lessons

Step-by-step explanation:

12 divided by .75 = 16

Answer:

16

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-7x-5= -10x-26

-7x= -10x-21

3x= -21

x=-7

Answer:

3x²y==

Step-by-step explanation:

Multiple the number

Answer: she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Step-by-step explanation:

Given : Distance run by Jasmine in [tex]\dfrac23[/tex] of an hour = [tex]4\dfrac56\text{ miles}=\dfrac{24+5}{6}\text{ miles}[/tex]

[tex]=\dfrac{29}{6}[/tex] miles

Distance run by Jasmine in 1 hour = [tex]\dfrac{29}{6}\times\dfrac{3}{2}=\dfrac{29}{4}[/tex] miles.

[tex]=6\dfrac{5}{4}[/tex]   miles.

Hence, she can run [tex]6\dfrac54[/tex] mile sin 1 hour.

Sell price = purchase price x Mark up

Sell price = 140 x 220%

Sell price = 140 x 2.2 = 308

Sell price = $308

Answer:

Step-by-step explanation:

1) Your number = x

2) Multiply it by 3 = 3x

3) Add 4 = 3x + 4

4) Square the result (quantity square) = (3x + 4)²

I hope this helps! I would really appreciate it if you would please mark me brainliest! Have a blessed day!

Answer:

___________________________________________________________

By finding the product of a point's x coordinate times the next point's y coordinate, then subtracting the y coordinate of the first point times the x coordinate of the second coordinate and dividing by two, you will find the area of the polygon.

___________________________________________________________

Answer:

A or B

Step-by-step explanation:

sry if im wrong-happy new year!

Answer:

0

Step-by-step explanation:

Eg:

-5*0=0

-1*0=0

Answer:

SRT

Step-by-step explanation:

Answer:

obtuse angle

Step-by-step explanation:

a L is a right angle, a right angle is 90 degrees.  if the angle is more then 90 degrees and looks like its being stretched it is obtuse. and if it is smaller then 90% and looks like it is being squashed it an acute angle.

Answer:

answer is 3

because first we add 4+2=6

the sum of the line is 6 then we will got

x+3=6

x=6-3

x=3

Step-by-step explanation:

hope my answer is helpful to you

plz mark me as brainlist

Answer:

P

Step-by-step explanation:

p is the ans

Answer:

Given:

Principal= $5,000

After 3 years, Amount= $7,100

After 8 years, Amount= $10,350

Step-by-step explanation:

Interest after 3 years= $7,100- $5,000

                                   =$2,100

Interest in last 5 years= $10,350- $7,100

                                    =$ 3,250

Difference between first 3 years and last 5 years= $3,250- $2,100

                                                                                 =$1,150

Amount= Principal*[tex](1+r/100)^{t}[/tex]

10,350=5000[tex](1+r/100)^{8}[/tex]

[tex]\frac{10350}{5000}[/tex]=[tex](1+r/100)^{8}[/tex]

2.07=[tex](1+r/100)^{8}[/tex]

[tex]2.07^{1/8}[/tex]=1+[tex]\frac{r}{100}[/tex]

1.095-1=[tex]\frac{r}{100}[/tex]

0.095*100=r

r=9.5%

Average rate=[tex]\frac{5000*9.5*1}{100}[/tex]

                    =$475

Answer:

drop down 1 a slower rate per year

drop down 2 670

Step-by-step explanation:

as in three years you get $7100

you take that and subtract it by your starting amount (5000)

7100-5000= 2100

then divide 2100 by the number of years (3)

to get your annual rate of 700$

then you take the 8 year total and subtract it from your 3 year total

10350-7100= 3250

Then divide that by 5 because that how many years it has been

to get the annual rate of 650

making the 5 year rate slower.

The to find the average rate over all 8 year you take 10350 and subtract it from your starting number 5000

10350-5000= 5350

then take 5350 and divide it by the number of years (8)

you then get you average rate of 668.75

668.75=670

Hope this helps!

Answer:

15 centimeters

Step-by-step explanation:

Ratio of Mr. Thompson rectangle = length : width

= 5 : 2

Audrey plans to draw a rectangle with a width of 6 centimeters.

Ratio of Audrey rectangle = length : width

= x centimeters : 6 centimeters

Equate the two ratios to find the value of x

5 : 2 = x : 6

Cross product

5 * 6 = 2 * x

30 = 2x

Divide both sides by 2

x = 30 / 2

= 15

x = 15 centimeters

Audrey's rectangle should have a length of 15 centimeters

Answer:

15

Step-by-step explanation:

Answer:

First/Top graph.

Step-by-step explanation:

First, we need to solve the inequality for n:

-6n + 5 < 11 (Given)

-6n < 6 (Subtracted 5 on both sides)

n > -1 (Divided -6 on both sides)

NOTE: Whenever you multiply or divide by a negative number when dealing with inequalities, the sign switches.

Now that we know that n > -1, we need to look for a graph that has an open circle on the point -1 and goes in the right direction.

Therefore, the first graph is the correct answer.

Answer:

5358

Step-by-step explanation:

The equation modeling the population growth of a small town is given as:

P(t)=30000(1.02)^t

When t = 2

P(2) = 30000(1.02)^2

P(2) = 31212

When t = 10

P(10) = 30000(1.02)^10

P(10) = 36569.8326

The approximate population change that occurs between 2 years from now and 10 years from now is calculated as:

= P(10) - P(2)

= 36569.83259984272 − 31212

= 5357.8325998

Approximately ≈ 5358

Answer:

The midpoint of PR is;

(a + b, c)

Step-by-step explanation:

Here, we want to get the coordinates of the midpoint of PR

To get these, we make use of the midpoint formula

Mathematically, that will be;

(x,y) = (x1+y1)/2, (x2+y2)/2

(x1,y1) = (0,0)

(x2,y2) = (2a+2b, 2c)

The midpoint is thus;

(2a+2b)/2 , 2c/2

= (a + b, c )

Answer:

(a+b, c)

Step-by-step explanation:

Smile because it's correct for Acellus

Answer:

e represent a fraction happy to help