plss help me!!
A navy ship observes an illigal boat 'd' miles away to it's West. If the boat travels at a 'u' velocity towards the south , and it's given that the maximum velocity of the ship's canon is λu ( λ<1)
and the max range they can be shot at is 'v',
show that if λ^2 +(v/d)^2 <1 ,
1) that the illigal boat can avoid any harm caused by the navy ship.
( use relative velocity triangles and geometry)​

Answer:

[tex]M(-\dfrac{3}{2}, -2)[/tex]

Step-by-step explanation:

[tex]M(\dfrac{x_1 + x_2}{2}, \dfrac{y_1 + y_2}{2})[/tex]

[tex]M(\dfrac{-3 + 0}{2}, \dfrac{3 + (-7)}{2}) =[/tex]

[tex]= M(\dfrac{-3}{2}, \dfrac{-4}{2})[/tex]

[tex]= M(-\dfrac{3}{2}, -2)[/tex]

Answer:

Step-by-step explanation:

You didn't specify where the point P is so there are two posibilites:

1.

P₁Z is dividing angle OZQ

then:

      m∠P₁ZQ = m∠OZQ - m∠OZP₁ = 125° - 62° = 63°

2.

P₂Z is outside angle OZQ

then

    m∠P₂ZQ = 360° - (m∠OZQ + m∠OZP₂) = 360° - (125° + 62°) = 173°

The line crosses (1/2,0) and (0,4/7)

Let m be the slope of this line

● m = [0-(4/7)]/[(1/2)-0)]

● m = (-4/7)/(1/2)

● m = (-4×2)/7

● m = -8/7

So the slope of this line is -8/7

Answer:

875 ft³

Step-by-step explanation:

First, let's break it down into three different sections.

Starting with the cube on the bottom and then the rest of the Rectangular Prism.

The formula for Volume Cube  V = a³

The formula for Volume of Rectangular Prism:  V = lwh

From the picture we can see that the bottom is a cube with a lenght of 5 ft thus V = 5³ = 125 ft³

The second Rectangular Prism in the middle has a lenght of 20 ft (15 + 5), a width of 5 ft and a height of 5 ft. Use the formula above 20x5x5 = 500 ft³

The top  Rectangular Prism has a lenght & with of 5 ft and a height of 10 ft.

So again 5x5x10 = 250 ft³

Now all we need is to add them all together:

125 + 500 + 250 = 875 ft³

Answer:

e

Step-by-step explanation:

The 325.623 round to the nearest 10 is 325.6.

Rounding a number of means simplifying it while retaining its value close to what it was. The end output is less accurate but more usable. For instance, 73 rounded to the closest ten is 70, because 73 is closer to 70 than 80.

The tens' digit is the rule for rounding to the closest a hundred. If the number is five or more, round up. If the number is four or less, round down. Consider the number formed by the digits in the tens and one's columns when rounding to the nearest hundred.

To round to the next thousand, write down the multiple of 1000 closest to our number. The thousands' digit will either remain unchanged or rise by one.

Therefore, the nearest 10 is 325.6.

To learn more about round figures, refer to the link:

https://brainly.com/question/12342753

#SPJ2

Answer:

Step-by-step explanation:

When you divide it through diagonals, you will get two congruent triangles ( Side Side Side congruent - SSS)

Points are very important in geometry.

In fact, a point is the most basic figure in geometry.

A point has no size, only position.

Although it's basic, it's used all the time in geometry and it creates things.

For example, two points creates line segments.

Line segments are used in postulates and theorems.

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero. Yes it also matter because x axis go sideways and the y axis goes up and down. Hope this helps

Answer:

The intercepts of a graph are points at which the graph crosses the axes. The x-intercept is the point at which the graph crosses the x-axis. At this point, the y-coordinate is zero.

Step-by-step explanation:

Answer:

Made a number line for this.

Step-by-step explanation:

Answer:

C. is the answer

Step-by-step explanation:

answer:

1. 6a+12

2. 6c-8

3. 9c+7

4. -6c-5

5. 8-20k-8m

6. 6k+2

7. 2p

8. 7y+20

9. 3d-2f

10. 18a+4

11. 31f+6

12. 18k+6m-12

13. 4m

14. 2c

15. 6b+5

16. -2b+8a-1

17. f+3d-2

Hey! i just want to say that it's very easy when you just add variables with other same variable. for example, 2m+m. 2+1=3! and just pop the variable M in there. which equals 3m! super easy! right? hope this helped

Answer:

C.  The number 5/11 is a rational number because it is a repeating decimal.

Step-by-step explanation:

The importance of this question is to distinguish a rational number from an irrational number.

A rational number can be written as a ratio or a set of repeating decimals.

An irrational number cannot be written as a ratio and cannot be represented by repeating decimals.

So out of the four options you have, the first two, A and B, are false, C is true, and D is false since rationality doesn't have anything to do with signs.

Cheers.

Answer:

b. 8a-35s

Step-by-step explanation:

Answer:

C. 50 minutes

Step-by-step explanation:

each time, 50 people can aboard. to calculate how many times people aboard, divide 250 by 50, equals 5

each time to aboard takes 10 minutes, so multiply 5 by 10 equals 50minutes.

Answer:

Range is the answer you get when you subtract the lowest number in a set of numbers from the highest number in the same set.

Step-by-step explanation:

Example

What is the range of 2,6,10,5,7 and 9

lowest number=2

highest number=10

range=10-2

range=8

Answer:

Range is the difference between the highest number in the group and the lowest number so you subtract the highest number from the lowest to get the range.

Step-by-step explanation:

Answer:

11565 km

Step-by-step explanation:

The computation is shown below:

But before reaching the final solution first we need to do the following calculations

The angle lies between the Galapagos  and  Nauru is

= 90° + 166.50°

= 256.5°

Since the sum of angle is 360 degrees

So the major arc and the minor arc is

= 360° -  256.5°

= 103.50°

Now the angles lies between galapagos islands is

= 180°  - 90°

= 90°

And, between the naura island is

= 180°  - 166.50°

= 13.5°

Now the total of this two island is

= 90°  + 13.5°

= 103.5°

The length is

[tex]= \frac{\pi r }{180^{\circ}} \times \theta\\\\ = \frac{6,400\pi}{180^{\circ}} \times 103.5^{\circ}[/tex]

= 11565 km

Answer: [tex]w=\dfrac{V}{lh}[/tex]

Step-by-step explanation:

Given: The formula for the volume V of a rectangular prism is V = ℓwh, where ℓ represents the length, w represents the width, and h represents the height.

We rearrange this formula by dividing  ℓh both sides of the formula to get the new formula for the width of the rectangular prism, we get'

[tex]w=\dfrac{V}{lh}[/tex]

Hence, the new formula for the width of the rectangular prism. :

[tex]w=\dfrac{V}{lh}[/tex]

Answer:

domain is (0, 30)

Range is (1900, 2500)

Step-by-step explanation:

We are told that Jessica plans to decrease her calorie intake by 40 calories every 2 days for the next 30 days.

This means that the domain of this period is between 0 days to 30 days.

Thus, the domain is (0, 30)

Now,she plans decrease of 40 calories every 2 days. This amounts to an average of 20 calories a day.

Which means that in a month of 30 days, she would have decreased her daily calorie intake by; 20 × 30 = 600 calories.

Since she is currently on 2500 calories per day, it means that the new targeted daily intake is; 2500 - 600 = 1900 calories.

Thus, the range for this situation would be between 1900 calories and 2500 calories.

Range = (1900, 2500)

Answer:

She saves the same amount of money, it doesn't make sense to represent the amount saved and number of months with one constant rate.

Step-by-step explanation:

Because the se amount is saved every month, it makes ot linear, and then unnecessary to represent the amount saved and the number of months with one constant rate.

Answer:

50

Step-by-step explanation:

35 - 12 + 13 + 39 - 25 = 50

Answer:

i think its 0.43 but im not sure i hope this helps

Step-by-step explanation:

Answer:13/29

Step-by-step explanation:

\text{Fill out totals:}

Fill out totals:

Has a brother Does not have a brother Total

Has a sister 7 14 21

Does not have a sister 6 2 8

Total 13 16 29

\text{Number of students with a brother: 13}

Number of students with a brother: 13

\text{Number of students in the class: 29}

Number of students in the class: 29

\text{Probability: }\frac{13}{29}

Probability:  

29

13

​

Answer:

Step-by-step explanation:

1.7 is bigger than 1

2/3 is smaller than 1

Answer:

yea its false it should go 2/3 1 1.65 1.7

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

answer 10 10x10= 100 100/10=10

Answer:

B) 1820

Step-by-step explanation:

10% = 2600 ÷ 10 = 260

30% = 260 x 3 = 780

2600 - 780 = 1820

Hope this helps! :D

Answer:

26.6°

Step-by-step explanation:

The area of a triangle is given by (1/2) * (base) * (height). The two triangles share the same height, so in order for the shaded triangle to have twice the area, its base must be twice that of the non-shaded triangle.

The non-shaded triangle is a right triangle with two 45° angles, so it's an isoceles right triangle with a base equal to its height.

This means that the height of the shaded triangle is 1/2 of its base. Knowing that we can get the angle of ACB with:

tan⁻¹(1/2) ≈ 0.4636476 (in radians)

Convert to decimal angle:

0.4636476 * (180/π) ≈ 26.6°

Answer: $1,500

Step-by-step explanation:

Let x represent the total income.

20% of the total amount = 300   -->  0.20x =  300

                                                          ÷0.20     ÷0.20

                                                                   x = 1500

Answer:

The total income is $1,500.

Step-by-step explanation:

$300 / 20% = $15       [ budget percent x 15 = budget amount in dollars]

Housing:            10 x 15 = $150

Food:                  30 x 15 = $450

Fuel:                    15 x 15 = $225

Clothing:            20 x 15 = $300

Health:                15 x 15 = $225

Miscellaneous:   10 x 15 = $150

Total Income:   150+450+225+300+225+150 = $1500

Answer:

T = 100I/PR

Step-by-step explanation:

1) Original: I = PRT/100

2) Multiply both sides by 100: 100I = PRT

3) Divide both sides by PR: 100I/PR = T

Answer:

gr uf

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

area of a parallelogram : b x h (base x height)

since there are no measurements, we are looking at the squares

im assuming that the squares are 1x1 squares

hence, for the base of the parallelogram, we are counting the squares

i added the halves together and got the answer 2

then we need to take the height

which im also assuming is 1

b x h = 1 x 2

a = 2

sorry if this is wrong but the angle that it was taken at, is not very clear ; (

Answer:

  $125

Step-by-step explanation:

With a 20% off coupon, the price you pay is 80% of the marked price. If that amount is $100, you have ...

  $100 = 0.80p

  p = $100/0.80 = $125

The maximum price of the shoes you can buy is $125.

_____

Check

20% of $125 is -.20×$125 = $25. When that is subtracted, the price you pay is ...

  $125 -25 = $100

Answer:

$125

Step-by-step explanation:

let the maximum price be 'x'

[tex]x -( \frac{20}{100} \times x) = 100[/tex]

[tex]x - ( \frac{x}{5} ) = 100[/tex]

[tex] \frac{4x}{5} = 100[/tex]

[tex]4x = 500[/tex]

[tex]x = 125[/tex]

Answer:

C is a quotient

Step-by-step explanation:

quotient it the number you get from equally dividing a number