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What is the measurement of b?

Answer:

She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started

Step-by-step explanation:

There is a relation between the three sides of the right triangle

∵ Jennifer bikes 7 miles south

∵ She turns to bike 13 miles east

∵ South and East are perpendicular

→ That means the distance from her start point to end point represents

   a hypotenuse of a right triangle, whose legs are 7 and 13

∴  (hypotenuse)² =  (leg1)² + (leg2)², where

∵ Leg1 = 7 miles

∵ leg 2 = 13 miles

∴ (hypotenuse)² =  (7)² + (13)²

∴ (hypotenuse)² = 49 + 169

∴ (hypotenuse)² = 218

→ Take √  for both sides

∴ hypotenuse = [tex]\sqrt{218}[/tex]

∴ hypotenuse ≅ 14.76482306

∴ She is about 14.765 miles ([tex]\sqrt{218}[/tex] miles) from where she started.

Answer:

364/27

Step-by-step explanation:

9, 3, 1, ... is a geometric sequence with common ratio r = 1/3.

The nth term is a1rn-1.

If a1rn-1 = 1/27, then 9(1/3)n-1 = 1/27

                                32(3-1)n-1 = 3-3

                                3231-n = 3-3

                                    33-n = 3-3

                                      3-n = -3

                                         n = 6

The sum, Sn, of the first n terms of a geometric sequence is given by Sn = a1(1 - rn) / (1 - r).

So, 9 + 3 + 1 + ... + 1/27 = S6 = 9(1 - (1/3)6) / (1 - 1/3)

                                              = 9(1 - 1/729) / (2/3)

                                              = (27/2)(728/729) = 364/27

Answer:

Inequality 1) y≤110−x; shade down

Inequality 2) y≥80− -2/3x; shade up

Possible solution: (40,60)​

*The drama club could sell 40 student tickets and 60 adult tickets.

Step-by-step explanation:

Hope I helped ;)

Solution is image 1.

One possible solution is = (0, 100).

Given that:

x represents the number of student  tickets sold and

y represents the number of adult tickets sold.

According to the question:

[tex]x+y\le110\\7x+10.50y\ge840[/tex]

Using a graphing calculator the graph is: image 1.

One possible solution is = (0, 100).

Learn more: https://brainly.com/question/15816805

Answer:

0.81

Step-by-step explanation:

Answer:

3700hours

154days

Step-by-step explanation:

Speed can be defined as the distance cover per time, it can be expressed as

Speed= distance/ time........eqn(1)

Given:

distance between two planets= 4.07×10^¹²

speed of light = 1.1×10^⁹ kilometres per hour

Time= ??

Then substitute the values into equation (1) we have

Speed= distance/ time

1.1×10^⁹ kilometres per hour= 4.07×10^¹²kilometre/ time

Cross multiply, we have

Time= (4.07×10^¹²kilometre) /(1.1×10^⁹ kilometres per hour)

Time= 3700hours.

To convert to day, we know that

60 minute= 1hour

24hour=1day

Time= (3700hour×1day)/24hour

Time= 154days approximately.

Hence, the time taken for light to travel from one of these planets to the other is 154days or 3700hours

Answer:

y=−6x+12

so A

Step-by-step explanation:

Answer:

Heath

I think

Step-by-step explanation:

Answer:

is it Heath?

Hope it helps!!!

Answer:

1 solution

Step-by-step explanation:

A solution to a system of linear equations is where the two lines meet. In this case, the system only intercepts each other once, therefore it only has 1 solution.

Answer:

x= 39

y= 123

Step-by-step explanation:

Please see the attached picture for the full solution.

Answer:0.75

Step-by-step explanation:

Answer:

3/4

Step-by-step explanation:

i like to turn them into improper fractions

4 and 1/2 is 9/2

6 is 6/1

to divide fractions, multiply by the reciprocal

6/1 flipped is 1/6

then multiply

9/2 x 1/6 = 9/12

simplify

3/4

18-4y=42

4y = 18-42

4y=-24

y = - 6

Answer:

18.27

Step-by-step explanation:

18.27

Answer: 18.28125

Step-by-step explanation:

Convert 37.5% to a decimal:

0.375

Multiply 48.72 by the decimal:

48.72(0.375)

18.28125

This can be rounded to 18.28 if you need.

Hope this helps!

Answer:

30 degrees

Step-by-step explanation:

A full turn is 360 degrees. The question asks for a twelfth of a turn, so all you need to do is divide 360 by 12! 360/12=30...30 is your answer!

Hope this helps you out...have an amazing day c:

Answer:

[tex]x = 3[/tex]

Step-by-step explanation:

Simply divide both sides of the equation by 6 and it'll be the answer.

Answer:

B.) x > -1 and x ≤ 4

Step-by-step explanation:

Hope this helps!

Answer: That the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.

Step-by-step explanation:

In this case, x represents the number of years after the year 2000.

Then we can think that x = 0, represents the year 2000 itself.

Now, remember that the y-intercept is the value of y when we have x = 0.

Then the y-intercept gives information about the average price of a 1-bedroom apartment in the year 2000.

The information that we can conclude with this is that the average price of a 1-bedroom apartment in New York in the year 2000 was around $800.

Answer:

Factor form: (2x-5)(2x+5)

If you olny simplify: 8x-25

Step-by-step explanation:

Answer:

$24

Step-by-step explanation:

James

Allowance per week = $6

He spends = $4

Balance = $6 - $4 = $2

Mike

Allowance per week = $7

He spends = $3

Balance = $7 - $3 = $4

Their mother's birthday is in 4 weeks

how much money can they save together in that time to buy her present?

James savings per week × 4 weeks

= $2 × 4

= $8

Mike's savings per week × 4 weeks

= $4 × 4

= $16

Total amount James and Mike can save together = $8 + $16

= $24

Answer:

It is 5 units to the right and 2 units down

if it helps look at the picture ^

Answer:

5 units Right and 2 units down

Step-by-step explanation:

I took he test and got it correct

Answer:

I think the integers are -19 and -20.

Step-by-step explanation:

Hope this helps!

Answer:

Simple Interest = (Time * Rate * Principal) / 100

=> SI = 3 * 5 * 800 / 100

=> SI = 15 * 8

=> SI = Rs. 150

Hence, her interest after 3 years at a rate of 5 percent = Rs. 150

If my answer helped, kindly mark me as the brainliest!!

Thank You!!

Answer:

y=4x+1

Step-by-step explanation:

I’m guessing the equation needed to be in the y=Mx+b form. If so, m is your slope and b is your y-intercept.

Answer:

y - 1 = 4 ( x - 0 )

Step-by-step explanation:

point slope form

Answer:

There were 4 adults; including Mr. Torres

Step-by-step explanation:

- Each row in the stadium had 9 seats

- Mr. Torres sat by himself; he sat on a row with nobody else (no students, no adults)

- The arrangement of the students and the adults who sat with them on same row is:   A  S  S  S  A  S  S  S  A

              1   2  3  4  5  6  7  8  9

since 1 adult sat at each end of a/the row and each group of 3 students was seated between 2 adults.

So the total number of adults that were present = 3 + 1 = 4

Answer:

mark above answer BRILLIANT

Answer:

16 units squared

Step-by-step explanation:

shbajabdhskan

Answer:

10

Step-by-step explanation:

Answer:

7.2 units

Step-by-step explanation:

Estimate and Guess

We know that it cannot be 2.9 units long, because it slanted is 6 units long. The closest value to that is 7.2 units.

Answer: 7.2 units

Answer:

21+3x

Step-by-step explanation:

multiply the 3 by everything inside the parentheses

Answer:

Step-by-step explanation:

given data

let the total charge be y

and let the number of pound be n

also let the charge per pound be p

we know that the expression for the total charges is given as

y=2+np

given that

y=$38

n=9

the expression the charges is now

38=2+9p

solving for p we have

38-2=9p

36=9p

p=36/9

p=4

therefore she is charged $4 per pound