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Answer:

[tex]20\:\mathrm{miles}[/tex]

Step-by-step explanation:

After travelling two hours, the two cruise ships form a triangle. One of the legs  of this triangle will be the distance Cruise A travelled, and another will be the distance Cruise B travelled. We can find the distance they travel using:

[tex]s=\frac{d}{t}, d=s\cdot t[/tex]

Cruise A is travelling at 18 miles per hour for 2 hours. Therefore, Cruise A has travelled:

[tex]d=s\cdot t=18\cdot 2=36\:\mathrm{miles}[/tex]

Cruise B is travelling at 15 miles per hour for 2 hours. Therefore, Cruise B has travelled:

[tex]d=s\cdot t=15\cdot 2=30\:\mathrm{miles}[/tex]

Because we are given the angle between these legs, we can use the Law of Cosines to find the third leg. The Law of Cosines is given by:

[tex]c^2=a^2+b^2-2ab\cos C[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are interchangeable. Let [tex]c[/tex] represent the distance between the two cruises. We have:

[tex]c^2=36^2+30^2-2\cdot36\cdot30\cdot \cos 35^{\circ},\\c^2=426.63,\\c\approx \fbox{$20\:\mathrm{miles}$}[/tex](one significant figure).

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Answer:

  20.7 miles

Step-by-step explanation:

The distance that A travels in the same direction as B is ...

  (18 mi/h)(2 h)cos(35°) = 29.489 mi

So, the difference in distances in that direction is ...

  (15 mi/h)(2 h) -29.489 mi = 0.511 mi

__

The distance A travels in the direction perpendicular to B is ...

  (18 mi/h)(2 h)sin(35°) = 20.649 mi

So, the straight-line distance between the ships is the hypotenuse of the right triangle with these distances as legs:

  AB = √(0.511² +20.649²) = √426.632 . . . miles

  AB = 20.655 miles ≈ 20.7 miles . . . separation after 2 hours

Answer:

the answer is 18. There are 18 ways to arrange the cars.

Answer:show me

Step-by-step explanation:

Answer:

x=56

Step-by-step explanation:

16 x 7= x * 2

[tex]x=\frac{16 x7}{2}[/tex]

x=56

Hope this helps :)

Answer: c

Step-by-step explanation: if there is no y then its just x=-2

Answer:

c

Step-by-step explanation:

m=y/x and in this case the graph doesn't cross y so ot is valued 0

Answer:

150.88 cm²

Step-by-step explanation:

A rectangular prism also known as cuboid is a three dimensional object with six rectangular faces and eight vertices. It is a prism because it has the same cross section along the length. It is called a rectangular prism because its cross section is rectangular.

The opposite faces of a rectangular prism are equal to each other.

The total surface area (TSA) of a rectangular prism is:

TSA = 2(wl + wh + lh)

where w is the width of the base, l is the length of the base and h is the height of the prism.

From the question, we can see that:

w = 5 cm, l = 7.4 cm and h = 3.1 cm. therefore:

TSA = 2(wl + wh + lh) = 2[(5 * 7.4) + (5 * 3.1) + (7.4 * 3.1)] = 2(37 + 15.5 + 22.94)

TSA = 2(75.44)

TSA = 150.88 cm²

Answer:

B,C, D

Step-by-step explanation:

Answer:900

Step-by-step explanation:

Rena deposits 900 into the account

Answer:

Step-by-step explanation:

Graph attached represents the relation between amount of oil left in the leaky oil tanker and time.

a). Gradient of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

                                      = [tex]\frac{(160-120)}{(0-8)}[/tex]

                                      = -5

    A-intercept = 160

b). Linear equation to represent the given relation in the graph will be,

  A = (-5)t + 160

c). At t = 15 minutes,

   A = (-5)(15) + 160

   A = -75 + 160

   A = 85 liters

d). This model is applicable till the container gets fully emptied.

   For A = 0,

   0 = -5t + 160

   t = [tex]\frac{160}{5}[/tex]

   t = 32 minutes

   Therefore, this model is reasonable up to t = 32 minutes.

Answer:

Step-by-step explanation:

thx for the points

Answer:

R(t) = 10 + 0.50t

Step-by-step explanation:

Answer:

8x²+7x+14

Step-by-step explanation:

4x²+4x²= 8x²

9x-2x= 7x

14=14

8x²+7x+14

hope it helps! please mark me brainliest

thank you! have a good day ahead

Answer:

$48,000

Step-by-step explanation:

Step one:

given data

Principal= $12,800

rate= 12.5%

time = 3 years

Required

The Interest

Step two

SImple interest= PRT/100

substitute

SI= 12800*12.5*3/100

SI=480000/100

SI=$48,000

Answer:

C

Step-by-step explanation:

Answer:

The answer is A :)

brainliest pls

Answer:

function 2

Step-by-step explanation:

Answer:

Function 2

Step-by-step explanation:

Answer:

[tex]\frac{1}{r^{10} }[/tex]

Step-by-step explanation:

Using the rule of exponents

[tex]\frac{a^{m} }{a^{n} }[/tex] ( with n > m )

= [tex]\frac{1}{a^{(n-m)} }[/tex]

Then

[tex]\frac{r^{2} }{r^{12} }[/tex]

= [tex]\frac{1}{r^{(12-2)} }[/tex]

= [tex]\frac{1}{r^{10} }[/tex]

Answer:

7.  x = 5

8. x = 2, y = 6

9. x = 21, y = 39

Step-by-step explanation:

For a parallelogram, the lengths across intersection are equal.

7. For a parallelogram, the lengths across intersection are equal.

So that,

3x = 4x - 5

4x - 3x = 5

 x = 5

8. For a parallelogram, the lengths across intersection are equal.

So that,

2x = 4

x = [tex]\frac{4}{2}[/tex]

x = 2

and

y - 1 = 2y -7

7 - 1 = 2y - y

y = 6

x = 2, y = 6

9. For a parallelogram, opposite angles have equal value.

Thus,

3x = (4x - 21)

3x = 4x - 21

x = 21

and

3y = (y + 78)

3y = y + 78

3y - y = 78

2y = 78

y = [tex]\frac{78}{2}[/tex]

  = 39

y = 39

x = 21, y = 39

Answer:

6

Step-by-step explanation:

Coefficient: A number before the variable such as 4 in 4x.

When there is more than one term with coefficient the leading coefficient is always the one that is in the term with the highest exponent:

2x^5 and 6x^8

^8 is bigger than ^5, so that's the leading coefficient.

Answer:

-1

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Step-by-step explanation:

Step 1: Define

2(3x - 1) ≥ 4x - 6

Step 2: Solve for x

Here we see that any value x greater than or equal to -2 would work as a solution.

Answer:

UY = 14

Step-by-step explanation:

In the given figure

∵ TUV is a triangle

∵ UZ, VX, and TW are medians

∵ UZ ∩ VX ∩ TW at point Y

∴ Y is the point of intersection of the 3 medians

→ By using the 2nd rule above

∵ The point Y divide UZ at the ratio of 2: 1 from the vertex U

∴ UY: YZ = 2: 1

∴ [tex]\frac{UY}{YZ}[/tex] = [tex]\frac{2}{1}[/tex]

→ By using cross multiplication

∵ UY × 1 = YZ × 2

∴ UY = 2YZ

∵ UZ = UY + YZ

∴ UZ = 2 + 1 = 3 parts

∵ UY = 2 parts

∴ [tex]\frac{UY}{UZ}[/tex] = [tex]\frac{2}{3}[/tex]

→ Multiply both sides by UZ

∴ UY =  [tex]\frac{2}{3}[/tex] UZ

∵ UZ = 21

∴ UY =  [tex]\frac{2}{3}[/tex] (21)

∴ UY = 14

Answer: 3x60=180x2=360+6/2=83 but you have to factor that she will sometimes fly backwards . Then after you that into count the answer is (2x6=42=54) now that you take "x" and turn it to 6 yoy get (5,4)

Step-by-step explanation:

The two ordered pairs are (0.05, 0.1) and (0.1, 0.2).

The graph is shown below.

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

y = 4x

y = number of miles

x = number of hours

4 miles per hour.

Now,

The rate is 2 miles per hour.

This means,

y = 2x

Now,

x = 3 minutes = 3/60 hour = 1/20 hour = 0.05 hour

y = 2 x 1/20 = 1/10 miles = 0.1 miles

The ordered pair is (0.05, 0.1)

x = 6 minutes = 6/60 hour = 1/10 hour = 0.1 hour

y = 2 x 1/10 = 1/5 miles = 0.2 miles

The ordered pair is (0.1, 0.2)

Thus,

The ordered pairs are (0.05, 0.1) and (0.1, 0.2).

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

Answer:

1.5x ≤ 60

Step-by-step explanation:

He wants to run no more than 60 minutes a day

No more than means Less than or equal to with the inequality sign of ≤

Each lap = 1.5 minutes.

The greatest number of laps Peter could run = x

Therefore, the inequality that best represents the situation and represents x, the greatest number of laps Peter could run in a day

1.5 × x ≤ 60 minutes

= 1.5x ≤ 60

Solving for x

1.5x ≤ 60

x ≤ 60/1.5

x ≤ 40 laps

Hence, the Greatest number of laps = x that he can run is 40 laps

Answer:

x = 30, -30

Step-by-step explanation:

Answer:

B now give me brain

Answer:

8

Step-by-step explanation:

1/2(12)=6

Answer:

8

Step-by-step explanation:

1/2(8+4)=6

Answer:

h = -19.4

Step-by-step explanation:

1. Take the constant on the left side of the equation by changing the positive to a negative ---> h = -9.7 -9.7

2. Solve the right side, and you have yuor answer. ---> h = -19.4

• Solution:-

➪ 5 - x - 3 = 0

➪ 5 - 3 - x = 0

➪ 2 - x = 0

➪ 2 = x

Hence, x = 2

Now,

✯ 3x²

➪ 3 × (2)²

➪ 3 × 4

Therefore, 3x² will be = 12.