A light house worker is tracking a boat that is 5 km south of her. She is also tracking a boat
that is 6 km from the tower located 70° east of north. To the nearest kilometer, how
far apart are the two boats?

A. 7 km
B. 9 km
C. 8 km
D. 16 kM

Answer:

A.5,683.0000

B. 1,289,293.0000

C.3,567,920.0000

Step-by-step explanation:

Answer: For 7 this is how to graph it

Answer:

28i^2 + 5ij - 12j^2

Step-by-step explanation:

(7i-4j)(4i+3j)

7i times 4i is 28i^2

7i times 3j is 21ij

-4j times 4i is -16ij

-4j times 3j is -12j^2

In equation it looks like this:

28i^2+21ij-16ij-12j^2

Simplify 21ij and -16ij

21ij-16ij is 5ij

So the answer is:

28i^2 + 5ij - 12j^2

Hope this helps!

Answer:

The answer is 16

Step-by-step explanation:

Answer:

n=18

Step-by-step explanation:

Answer:

y = 1.25x + 2

Step-by-step explanation:

Answer:

Step-by-step explanation:

( -4 , -3 ) ( 8 , 12 )

12 + 3   15 = 5

8 + 4    12 = 4

↑ slope = 5/4

↓ point slope form: y - y₁ = m ( x - x₁ )

y + 3 = 5/4 ( x + 4 )

y + 3 = 5/4x + 5

-3

y = 5/4x + 2

Answer:

0.6

Step-by-step explanation:

first you well have a 3 and then dived it by 5 and after you dived them to you well get the answer 0.6

Answer: 100

Step-by-step explanation:2*5 =10 then 10*10 is 100

Answer:

100

Step-by-step explanation:

so, here is how to work this problem out

2*5 = 10

10*10 = 100

Answer:

Points R, S, T, Q on circle O is given

and points are central arc

Step-by-step explanation:

Answer: Let me know if this helps.

Step-by-step explanation:

5(2t+3)=75     Distribute the 5 using multiplication. 5x2t and 5x3

10t+15=75      Subtract 15 because you need to get the t by itself.

10t = 60         Now divide by 10 to get t by itself. 10/10 and 60/10.

t = 6               Answer.

Answer:

t=6

Step-by-step explanation:

It's all about get t on one side of the equation, and so everything else on the other side of the equation.

The first thing we want to get rid of is the 5. The 5 is multiplied by (2t+3), so to get rid of it, we divide both sides by five (divide both sides since they must remain equal):

(5(2t+3))/5=75/5

2t+3=15

The next thing we can get rid of is the 3. Subtract 3 from both sides:

2t+3-3=15-3

2t=12

Now, we get rid of the 2. Divide both sides by 2:

2t/2=12/2

t=6

Answer:

1/3

Step-by-step explanation:

12/36 = 6/18 = 3/9 = 1/3

Answer:

subtract 2 from the product of 12 and y

Step-by-step explanation:

Answer:

$150

Step-by-step explanation:

$30 x 3 = 90

$20 x 3 = 60

90 + 60 = $150

hope this helps! (:

Answer:

36feet

Step-by-step explanation:

Since we are not asked what to find, we can as well find the maximum height reached by the rocket

At max height, velocity is zero

V = dy/dx = 0

dy/dx = -32x + 16

0 = -32x+16

32x = 16

x = 16/32

x = 0.5s

Get the maximum height

y = -16(0.5)^2+16(0.5) + 32

y = -4+8+32

y = 36feet

Hence the max height reached by the rocket is 36feet

Answer:

6000

Step-by-step explanation:

Answer:x+y = 6,000

0.025x-0.015y

Step-by-step explanation: did it on edge

Answer:

5/6 is about a 84%, and 84% of 15 questions is 12.6. so the teacher just made the grading simplified

Step-by-step explanation:

Answer:

Number line D is true

Step-by-step explanation:

Given

[tex]-3x + 1 < 7[/tex]

See attachment for number lines

Required

Which number line makes the inequality true

First, we solve for x in [tex]-3x + 1 < 7[/tex]

[tex]-3x < 7 - 1[/tex]

[tex]-3x < 6[/tex]

Divide through by -3

[tex]\frac{-3x}{-3} < \frac{6}{-3}[/tex]

[tex]x > -2[/tex]

The inequality means x is greater than -2.

This means that, the line must point to the right of -2 and the "greater than" means that the circle must be opened

Number line D is true

Answer:

1476 boys

Step-by-step explanation:

We are going to use ratio here:

6/7=x/1,722

so then we simplify

(1,722*6)/7 =

1476 boys

Answer:

(-2,0)

Step-by-step explanation:

(-2,0) is the midpoint I believe!

Hope that helps!

the mid point of AB is 1 and -1

Answer:

32%

Step-by-step explanation:

To find the percentage, we have to multiply 25 and 8 by 4.

25x4 = 100

8x4 = 32

So, 8 out of 25 is 32%.

Answer:

Rs 19 1/8

Step-by-step explanation:

Fromm the above question, we are told that:

The cost of 2/3 meters of rope = Rs 12 3/4

We are asked to calculate the cost per meter of rope.

Hence:

2/3 meters of rope = Rs 12 3/4

1 meter of rope = Rs x

Cross Multiply

2/3x = 1 × 12 3/4

x = 12 3/4 ÷ 2/3

x = 51/4 ÷ 2/3

x = 51/4 × 3/2

x = 153/8

x = Rs 19 1/8

Therefore, the Cost per meter of rope = Rs 19 1/8

Answer:

41 dollars

Step-by-step explanation:

3r+2.5p is the cost of roses and petunias, just  number of roses as r and petunias as p:

3(7) + 2.5(8)=

21+20=41 dollars

Answer:

hhhhs jjeguuw iiwhrbmeo

Answer:

The solution is -3.

The graph is attached.

Step-by-step explanation:

To solve, first subtract 2 from both sides to get [tex]5q\geq -15[/tex]. Now divide 5 from both sides to get [tex]q\geq -3[/tex].

The graph representing this is attached.

Hope it helps and is correct!

Answer:

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

Step-by-step explanation:

Find a common multiple of the denominators 3 and 8, which would be 24.  Convert the fractions:

7/8 x 3/3 = 21/24.

2/3 x 8/8 = 16/24

Add the two numerators = 37/24 or 1 13/24.  

1/24 of an hour is 2.5 minutes, so 13/24 is 32.5 minutes.

The answer is 1 13/24 hours or 1 hour, 32.5 minutes

Answer:

Length of tape required to wrap 12 presents is 48 centimeters.

Step-by-step explanation:

Length of tape required to wrap 7 presents = 28 centimeters

Length of tape required to wrap 1 present = [tex]\frac{28}{7}=4[/tex] centimeters

Therefore,

Length of tape required to wrap 12 presents = 12 × Length of tape required to wrap 1 present

= 12 × 4

= 48 centimeters

Answer:

K

Step-by-step explanation:

techincally, I don't know if I am right, but there is more than one answer. The boundries/restrictions of what length DF could be are 2.477 < x < 8.477