Mathematics High School

If a ship travels north for 18 miles and east for 12 miles,
to the nearest tenth, approximately how far away is it
from it's starting point?

If A Ship Travels North For 18 Miles And East For 12 Miles,to The Nearest Tenth, Approximately How Far

Answers

Answer 1

Answer:

The ship is approximately 21.6 miles away from its starting point

Step-by-step explanation:

∵ The North and the East are perpendicular

→ That means the distance between the starting position and

   the ending position shows a hypotenuse of a right triangle which

   its legs are the distances due to North and East

∵ The ship travels north for 18 miles

∴ leg1 = 18 miles

∵ The ship travels east for 12 miles

∴ leg2 = 12 miles

→ By using Pythagoras Theorem

∵ (hypotenuse)² = (leg1)² + (leg2)²

∴ (hypotenuse)² = (18)² + (12)²

∴ (hypotenuse)² = 324 + 144

∴ (hypotenuse)² = 468

→ Take √  for both sides

∴ hypotenuse = 21.63330765

→ Approximate it to the nearest tenth

∴ hypotenuse = 21.6 miles

∵ The hypotenuse of the right triangle represents the distance from

   the starting position to the ending position

∴ The ship is approximately 21.6 miles away from its starting point

Related Questions

What is the correct justification for the indicated steps?

Step C:

Step D:

Step E:

Answers

Answer:

Step C: distributive property

Step D: Tringonometric Sum Identity

Step E: Factoring

Step-by-step explanation:

The correct justification for the indicated steps:

Step C: distributive property Step D: Tringonometric Sum Identity Step E: Factoring

Thus, the Proof of de Moivre's Theorem is distributive property, Tringonometric Sum Identity and factoring.

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1. Identificamos los coeficientes a, la b y la c
a = 1 ( está al lado de
2
)
b = -8 ( está al lado de X )
c = 7 (término independiente)

Answers

Answer:

I don't speak Spanish I'm Sorry

Uhm I need help.. If I threw a ball vertically at an initial speed of 34.5 m/s, how many seconds would it take to reach its maximum height?

Answers

Answer:

3.8 seconds to reach the maximum height

Hope I helped have a nice day!:)

Step-by-step explanation:

Erick ordered 4 new DVDs by mail. Each costs the same amount and there
was an additional $5 shipping charge that brought the total to $33.
What was the cost of one DVD?
mil Movin at Mayfair, Zal bought a drink for

Answers

Answer: $7 each

Step-by-step explanation: 33-5=28 28/4=7

Find the sum or difference.
(4y + 3) - (y – 2)
SHOW ALL THE WORK THAT YOU DID TO FIND THIS ANSWER for points!

Answers

Answer:

3y + 5

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Combining Like Terms

Step-by-step explanation:

Step 1: Define expression

(4y + 3) - (y - 2)

Step 2: Simplify

Distribute negative:                    4y + 3 - y + 2Combine like terms (y):               3y + 3 + 2Combine like terms (Z):              3y + 5

True or false: Sequences of rigid motions can be applied to any type of polygon.

Answers

Answer:true

Step-by-step explanation:

find the roots of the equation (t+1)2 +(t-8)2=45
a.-5,-2 b.3,4 c. 5,2 d. 2,-3​

Answers

t2 +2t+2+t2 _16t+64=45

2t2_14t+65=45

2t2_14t +20=0

(2t_4)(t_5)=0

t=2 t=5

answer is C.5,2

3. 432 is divisible by (1 point)
O only 2.
O only 3.
O2 and 3.

Answers

Answer:

Only two and Three!

Step-by-step explanation:

423 is divisible by the prime number two!

423 divided by 2 is 216

432 is also divisible by three!!

432 divided by three is 141

The number 432 is divisible by 2 and 3 both as its unit digit is even and the sum of the digits is 9.

What is the divisibility rule?

By the divisibility rule, we can determine whether numbers are divisible by some other numbers or not without dividing.

We know a number is divisible by 2 if its unit digit is even and a number is divisible by 3 if the sum of the digits is divisible by 3.

Given number is 432 unit digits even, therefore, it is divisible by 2,

and the sum of the digits is 9 so it is also divisible by 3.

learn more about divisibility rules here :

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(b) Factorize: x2 - 49

Answers

Answer:

(x+7)(x-7)

Step-by-step explanation:

This one has the standard shape of a²-b², therefore its factorization is (a+b)(a-b).

Answer:

(x-7)(x+7)

Step-by-step explanation:

x^2 = x * x

-49 = -7 * 7

(x-7)(x+7)

The area of a door is 3024 square inches. If the length of the door is 48 inches longer than the width of the door, what is the width of the door?​

Answers

Answer:

The width of the door is 36 inches

Step-by-step explanation:

The given parameters are;

The given area of the door = 3024 in.²

The length of the door = 48 + The width of the door

Let W represent the width of the door

Therefore, we have;

The length of the door = 48 + W

The area of the door = The length of the door × The width of the door

∴ By substitution, the area of the door = 3024 = W × (48 + W)

3024 = W × (48 + W) = 48·W + W²

48·W + W² = 3024

∴ 48·W + W² - 3024 = 0

Rearranging, we get;

W² + 48·W - 3024 = 0

By trial and error, we have;

(W + 84)×(W - 36) = 0

Therefore, given that the width of the door is a natural number, we have;

The width of the door, W = 36 inches

7 – d > 10 SHOW ALL WORK

Answers

Answer:

d < -3

Step-by-step explanation:

7 - d > 10

(-7)      (-7)

-d > 3

(dived both sides by -1, when dividing or multiplying both sides by a negative number the inequality sign changes)

d < -3

If 15% of x equals 20% of y, what percentage of x is y?

Answers

Answer:

Step-by-step explanation:15 % of x = 20%of y , 15 x =20 y , x÷y =20 ÷15 , let x =15 and y = 20 , y has 3÷4 amount of x ,

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

Answers

Answer: the representative sample contained more adults than children

Step-by-step explanation:

The options are:

a. The representative sample contained all 200 tourists.

b. The representative sample contained more adults than children.

c. The representative sample contained more children than adults.

d. The representative sample contained an equal number of adults and children.

Number of adults = 150

Number of children = 50

Total = 150 + 50 = 200

Probability of choosing an adult = 150/200 = 0.75

Probability of choosing a child = 50/200 = 0.25

The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.

Answer:

A group of tourists is determining the order in which to visit national landmarks in Washington, DC. The group contains 200 people. Of those people, 150 are adults, and 50 are children. A random sample of tourists in the group is chosen. Surveying the random sample produced a representative sample of the population. Which was most likely true of the representative sample?

the representative sample contained more adults than children

Step-by-step explanation:

The options are:

a. The representative sample contained all 200 tourists.

b. The representative sample contained more adults than children.

c. The representative sample contained more children than adults.

d. The representative sample contained an equal number of adults and children.

Number of adults = 150

Number of children = 50

Total = 150 + 50 = 200

Probability of choosing an adult = 150/200 = 0.75

Probability of choosing a child = 50/200 = 0.25

The above shows that the representative sample contained more adults than children. This can be seen in the explanation above as number of adults is thrice that of children.

Brian and Colin are marking exam papers. Each set takes Brian 40 minutes and Colin 1 hour. Express the times Brian and Colin take as a ratio.
Give your answer in its simplest form.

Answers

Answer:

2:3 in the simplest form

Step-by-step explanation:

40/60

2/3=2:3

Answer
2:3 in simplest form

Explanation: 40/60 in simplified form is 2:3

Use the Properties of Equality to solve each equation
A - 6 = 19

A. 25

B.13

C.-13

D. -25

Answers

a-6=19
+6 +6
a= 25

the answer is A. 25

Answer:

A-6 =19

A= 19+6

A= 25

how to find
range
mode
median
mean

Answers

Answer:

- Mode-The most repetitive number! - Median:The number in the MIDDLE when they are IN ORDER! - Mean- The AVERAGE OF ALL NUMBERS: You add up all the numbers then you divide it by the TOTAL NUMBER of NUMBERS! - Range - THE BIGGEST minus the Smallest!

branliest?

Step-by-step explanation:

Answer:

RANGE = Highest number - lowest numberMODE = Total number of numberMEDIAN = {(n+1)÷2}th valueMEAN = €x/N

help will mark brainlist

Answers

Does this allow multiple attempts ?

PLEASE HELP!!!!! PLEASE LOOK AT MY DOCUMENT AND HELP ME!!! I AM NOT UNDERSTANDING THIS AND I NEED TO GET MY GRADE UP!!

Answers

i do not see a picture sorry cant help

formulae for perimeter of a rhombus​

Answers

Answer:

perimeter= 4a

a= sides

five less than the product of seven and a number is the same as 13

Answers

Answer:

Step-by-step explanation:5-7+13

Jasmine sells bracelets at a local jewelry store in South Dekalb Mall. She has 1,190 purple beads and 2,125 pink beads. Each bracelet can hold 85 beads, how many bracelets can she make

Answers

Answer:

39

Step-by-step explanation:

1190 + 2125 = 3315 (number of beads)

3315/85 = 36 (number of bracelets jasmine can make)

After taking typing lessons for three months, Johanna can type 285 words in five minutes. How many words can she type in 13 minutes?

Answers

Answer:

Hello,

-First find the unit rate, 285 divided by 5

since she can type 285 words in 5 minutes

the unit rate is 57 words per minute

-now multiply that by 13

57 times 13

741 words in 13 minutes

-Hope this helps

Write 360.124 in expanded and exponential form both

Answers

Step-by-step explanation:

Expanded 300+60+.1+.02+.004

exponential you can't have on if you don't have an exponent

360.124 in expanded and exponential form :
300+60+1/10+2/100+4/1000

Which expression could you write to show how to multiply 9 x 856 using place vale and expanded form.

Answers

9X800) + (9X50) + (9X6)

Which is the equation of the same line as y = 3x - 8?
A. 3x - 2y = 8
B.-3x - 2y = -8
C. 6x - y = 16
D. 6r - 2y = 16

Answers

Answer:

letter c. 6x-y=16

Step-by-step explanation:

Hamid has gained weight.
He now weighs 88kg, whish is higher than his normal weight
What is Hamid's normal weight?

Answers

The situation we have to find is how much weight Hamid has gained. There is no number so I’m just going to teach u how to find the original weight. So basically you have to subtract the weight that is gained from the current weight which will give you the answer to the normal weight.
Current weight-weight gained=normal weight
For example if he gained 5 kg
88-5=83 so his normal weight is 83kg

Solve v+8<3 or -8v-40 .

Answers

The answer is:

v < -5 or v > 5

Hope this helps ✨❤️

Identify a set of parallel and a set of perpendicular lines in this image.

Please helppp

Answers

It's the third one. Soshsiksbdbd

Answer:

The third answer choice

Step-by-step explanation:

The two parallel lines are BF and CG the perpendicular are AD and BF because the first sets are side by side and the second sets cross each other at a certain point.

how do i do xy=4
2x-y+2=0
i'm solving by substition

Answers

so I think the answer is very difficult ask to someone else

Step-by-step explanation:

xy=4

2x-y+2=0

Is it x+y=4 or x-y=4? I can help you solve in comments.

At noon, the temperature was 5 degrees Celsius. By late afternoon, it has risen 6 degrees Celsius. What was the temperature late in the afternoon?

Answers

Answer:

11 degress celcius

Step-by-step explanation:

there was an  original 5 but it increased by 6

5 + 6 = 11

11 degrees celcuis

Answer:

11 degrees Celsius

Step-by-step explanation:

5+6=11

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