Mathematics High School

a boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

Answers

Answer 1

Answer:

56.3

6.6

Step-by-step explanation:

A Boat Traveled 19 Kilometers East And 53 Kilometers South, How Far From Its Starting Position Is It?A
Answer 2

Answer:

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?: √3170≈56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?: √44.19≈6.65 ft.

Step-by-step explanation:

For these questions, we will need to use the pythagorean theorem: a²+b²=c², where a and b are the legs of the right triangle and c is the hypotenuse.

A boat traveled 19 kilometers east and 53 kilometers south, how far from its starting position is it?

In this question, we are looking for the hypotenuse.

19 and 53 are the legs of the triangle, so we can plug it into the equation:

19²+53²=c²

361+2809=c²

3170=c²

√3170=c

56.30275304103699, or approximately 56.3 km.

A 25-foot ladder rest against a house at a point 24.1 feet above the ground. How far away from the house is the base of the ladder?​

25 is the hypotenuse since it is leaning sideways and is the longest side. 24.1 is one of the legs.

In this question, we are looking for one of the legs.

Let's plug it in: 24.1²+b²=25²

580.81+b²=625

Subtract 580.81 from both sides.

b²=44.19

b=√44.19

6.647555941848102, or approx. 6.65 ft.

Related Questions

What is the slope of the line on the graph?

Answers

Answer:

7

Step-by-step explanation:

Answer:

y = 2x - 4

Step-by-step explanation:

HELP I NEED HELP ASAP

The side length of a square is represented by the expression 10x-6 centimeters. The side length of the square is doubled and then reduced by 4 centimeters to create the side length of a new square. Which expression represents the area of the new square?

Answers

Answer:

D) 400x²-640x+256

Step-by-step explanation:

2(10x-6)-4=20x-16

(20x-16)(20x-16)=

400x²-640x+256

hehhhhhhhhhhhhhhhhh help? lol please

Answers

Answer:

1/3

Step-by-step explanation:

Answer:

Hey! so the answer is 1/3

Step-by-step explanation:

multiply 3/16 by 1/3 and 5/9 then add the sum of 1/3 and 5/9 together then add 1/6 to it simplify and you would get 1/3

Hoped I helped! Have a great day! I'm Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

1. Fatima draws a
Quadrilateral in the
coordinate plane with
the conditions shown.

Answers

Just plot it and solve by counting

please help! I have to turn it soon...

Answers

Answer:

I think the answer is 13. (Double check to make sure I'm correct)

A teacher bought packages of 6 pens in each package. Another teacher bought packages of 8 pens in each package. If the teachers ended up buying the same number of pens, what is the least number of pens they could have?

Answers

Answer:

The least number of pens they could have is 24 pens.

Step-by-step explanation:

6: 6, 12, 18, 24, 30, 36, 42, 48

8: 8, 16, 24, 32, 40, 48

Answer:

24 is my answer

i hop it helps you

Which set contains values of x that make the statement below TRUE?
70x< 42
A. O {7, 8, 9
B. O {1,4,8)
c. {2,3,5
D. (5, 7, 9)

Answers

Answer: the answer would be B

Step-by-step explanation:

I just had this question on my test and got it right :)

nvm

Question 1

Part A


Write a ratio of apples compared to all the fruit.


Enter the correct answers in the boxes.

Answers

Answer:Question 1

Part A

Step-by-step explanation:

There are 63 marbles in a leather bag. Some of the marbles are blue, some are green, some are clear, some are gold, and some are red. Based on experimental probability, there is a 1 in 7 chance of pulling out a blue marble. About how many blue marbles might be in the entire bag?




Group of answer choices

7 blue marbles

13 blue marbles

9 blue marbles

6 blue marbles

Answers

Answer:9

Step-by-step explanation:1/7 of 63 =9

Your father, at the age of 40, purchased a Whole Life insurance policy with a face value of $80,210. The permanent insurance amount for a Whole Life insurance policy for a healthy 40-year-old make is $27.17. Your father decided to terminate the policy at the age of 50. Use the following table to determine the cash value of the policy upon cancellation.
Please select the best answer from the choices provided
A. $561.47
B. $1,684.41
C. $3,609.45
D. $5.213.65

Answer:
D). $5,213.65

Answers

D is the answer to this

Answer:

D) 5,213.65

Step-by-step explanation:

The question.

What is the value of x in the figure below?
70°
xo
115°
A 45°
B. 550
C. 57.59
D. 22.50

Answers

Answer:

A. 45°

Step-by-step explanation:

By exterior angle theorem:

x + 70° = 115°

x = 115° - 70°

x = 45°

Answer:

x= 45°

Step-by-step explanation:

triangles degrees all together are always 180°

x≠180°

a straight line is also 180°

180°-115°= 65°

70°+65°= 135°

180°-135°= 45°

> NEXT E Question 416 Sally and Bobby run every Saturday. The equation d = 5h represents Sally's running rate, where "d" is her distance run in miles and "h" is the number of hours spend running. The graph below represents Bobby's running rate. Bobby's Running у 12 10 8 Distance (mi) 6 1 2 3 4 Time (hr) Choose from the drop-down menu to complete the sentence.​

Answers

Answer: Sally

Step-by-step explanation:

The proof for the power property of logarithms appears in the table with an expression missing. Which expression is missing from the proof?

Answers

Hence option b is correct.

What is logarithmic function?

A function of the form is a logarithmic function. "y equals the log of x, base b" or "y equals the log, base b, of x" is how it's written. x > 0 and b > 0, b 1 in both versions. y is not restricted in any way.

How to solve?

Given image shows different types of logarithmic functions used in proof , but [tex]log b^{x-y}[/tex] is not used

Hence option b is correct.

Learn more about logarithmic functions  https://brainly.com/question/1695836

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Camille wants to become a pilot. A pilot needs to log at least 500 flying hours before earning a pilot's license. A photo of a small plane. Question 1 Part A Write an inequality to show the number of flying hours h Camille needs to get a license. Enter the correct answer in the box.

Answers

Answer:

h ≥ 500

Step-by-step explanation:

Number of flying hours required to earn a pilot license = atleast 500 hours

The number of flying hours, h Camille requires to get a license is thus :

h ≥ 500

Panzettis owner purchased 6 tables for $186.How much would 9 additional tables cost?

Answers

it would be 279 dollars
$186 divided by 6 equals 31
so 31 times 9 equals $279
$279 because 186 divided by 6 equals 31 then add the multiple of 9 and you get 279! :) hope i helped!

Two planes leave an airport at the same​ time, one flying​ east, the other flying west. The eastbound plane travels 130 mph slower. They are 3850 mi apart after 5 hr. Find the speed of each plane.

Answers

Answer:

Speed of the slower plane = 320 mph

Speed of the faster plane = 450 mph

Step-by-step explanation:

Let the speed of the slower plane = x mph

And the speed of the faster plane = y mph

Difference in their speeds = 130 mph

y - x = 130 --------(1)

Formula for the distance traveled = Speed × time

Distance traveled by the faster plane in 5 hours = 5y miles

Distance traveled by the slower plane in 5 hours = 5x miles

Total distance traveled by both the planes in 5 hours = 5(x + y) miles

5(x + y) = 3850

x + y = 770 ---------(2)

By adding equations (1) and (2)

2y = 900

y = 450 mph

From equation (2)

x = 770 - 450

x = 320 mph

what is 3,100,000,000 times 7

Answers

Answer:

21700000000

Hope this helps.

21700000000

Good luck!

The length of rectangle A is one third the length of rectangle B. If the length of rectangle B is 36 inches, what is the length of rectangle A in inches?

Answers

Answer:

The length of rectangle A is 12 in

36 / 3 = 12

Hope this helps.

Answer:

36 itdb36 i think ye sit is

Step-by-step explanation:

23. Describe the slopes of perpendicular lines

Answers

Answer:

The slopes of two perpendicular lines are negative reciprocals of each other. This means that if a line is perpendicular to a line that has slope m, then the slope of the line is -1 / m. For example, we found that the slope of the line y = (1/2)x + 3 is 1/2.

The slopes of perpendicular lines when multiplied together gives the product as -1.

What is the slope of straight line?

The slope of a straight line is the tangent of the angle formed by it with the positive x axis as the reference.

The negative slope indicates the rate of decrease while the positive shows the rate of increase.

Suppose the two perpendicular lines have equations as follows,

y = m₁x + c₁  and y = m₂x + c₂.

Suppose m₁ = tan θ

Then, m₂ = tan (90° + θ)

Apply the trigonometric identity to obtain,

m₂ = tan (90° + θ)  = -cot θ

Now, m₁ × m₂ = tan θ × -cot θ = -1

Thus, the products of slopes is -1.

Hence, the product of slopes of two perpendicular lines is -1.

To know more about slope click on,

https://brainly.com/question/3605446

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Compare the values 4 times 10^7 is _____ times as much as 4 times 10^3

ILL MARK BRAINLIEST

Answers

Answer:

10,000 times as much

Step-by-step explanation:

Hello
10k
times as much

R/3 =16 what is R ??????????????????

Answers

Answer:

48

Step-by-step explanation:

48/3=16 i did 3*16 to get 48  so do the opposite operation

hope this helps

Angel has read 16 of the 80 pages in his book. What percent of the book has he read?

Answers

Answer:

Hey! so the answer is 20%

Step-by-step explanation:

If you want to know what percent 16 is of 80, you simple divide 16 by 80, then take that number and move the decimal place two spaces to the right. That's your percentage!

Hoped this helped! Have a great day! Im Eve btw. Also consider marking this brainliest. Thank you in advanced if you do!✨

Use the to add a new slide to your presentation.

Answers

Answer:

Insert menu should be correct :)

Step-by-step explanation:

Please give brainliest :)

Use the Insert menu to add a new slide to your presentation

Given data ,

To add a new slide to your presentation, you can use the "Insert menu." Here's a step-by-step explanation of how to do it in Microsoft PowerPoint:

Open your presentation in PowerPoint.

Look for the menu bar at the top of the screen.

Click on the "Insert" tab in the menu bar.

In the "Slides" group, you will find various options for adding a new slide. The options may include "New Slide," "Blank Slide," or specific slide layouts like "Title Slide" or "Content Slide."

Click on the desired option to insert a new slide with the chosen layout into your presentation.

Using the "Insert menu" allows you to add a new slide with the appropriate layout and design that best suits your content and presentation needs

To learn more about powerpoint presentation click :

https://brainly.com/question/22438059

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The output is 4 less than twice the input

Answers

Answer:

2

because ans = 4. and input =half so,4/2 .=2

Answer:

(2xinput)-4=Output

Step-by-step explanation:

i think this is what ur looking for and have a good day :)

Fourteen percent of the town’s population is over the age of 65. If there are 320 residents over the age of 65, approximately what is the town’s population? *

Answers

Answer:

2286

Step-by-step explanation:

[tex]320 \div 1\% = 2286[/tex]

anyone know what this is?

Answers

Answer:

24

Step-by-step explanation:

h×b/2

height×base/2

6×8/2

Find the scale factor going from rectangle ABCD to rectangle UVWX.

Answers

Answer:

its 7

Step-by-step explanation:

7

What is the distance between the points (4, 5) and (-3, 5)

Answers

Answer:

Seven

Step-by-step explanation:

the difference between 4 and -3 is seven.

I believe the distance should be 7

teri is making ribbons to give to her friends. Her budget is limited, and she has some constraints on the number of bracelets she can make compared to the number of ribbons. She has drown a graph to represent the number of items she can make where x represent the number of ribbons and y represents the number of bracelets

Answers

Step-by-step explanation:

not a solution

(4,3) / (3,10)

solution

)4,-3)...........(2,10)

plzzz help me with and i will give u a brainliest

Answers

THE FIRST ANSWER is the answer
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