From his home, Dan would have to walk due north to get to his friend Samuel's house and due east to get to his friend Cindy's house. It is 3 kilometers from Dan's house to Cindy's house and a straight-line distance of 5 kilometers from Samuel's house to Cindy's house. How far is Dan's house from Samuel's house?

Answers

Answer 1

The distance from Dan's house to Samuel's house is 4 km

The distance from Dan to Samuel house, Dan to Cindy house and Samuel to Cindy house forms a right angled triangle.

Distance from Dan to Samuel house = x, Distance from Dan to Cindy house = 3 km and Distance from Cindy to Samuel house = 5 km

Pythagoras theorem shows the relationship between the lengths of a right angled triangle.

Using Pythagoras theorem:

5² = x² + 3²

25 = x² + 9

x² = 16

x = 4 km

Hence the distance from Dan's house to Samuel's house is 4 km

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Related Questions

. Only 2% of a large population of 100-ohm gold-band resistors have resistances that exceed 105 ohms. a. For samples of size 100 from this population, describe the sampling distribution of the sample proportion of resistors that have resistances in excess of 105 ohms. b. What is the probabilit

Answers

Using the information given above, the sampling distribution of the sample proportion of 100-ohm gold-band is 2.

Sampling distribution of proportion, P = 2% = 0.02

Sample size, n = 100

The sampling distribution of the sample proportion can be calculated thus:

Distribution of sample proportion = np

Distribution of sample proportion = (100 × 0.02) = 2

Therefore, there is a probability that only 2 of the samples will have resistances exceeding 105 ohms.

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The price of a baseball card began at $5.00. A collector marked the price up 500% and is reselling the card online. What is the new sales price of the baseball card?

Answers

Answer:

25.00

Step-by-step explanation:

5.00 x 500% = 25

Which statement is true? 13/14=169/182 13/14<169/182 13/14>169/182
pls help me

Answers

Answer: 13/14 = 169/182

Step-by-step explanation:

If you do 13 x 182 = 2,366

And then do 14 x 169 = 2,366

Making both sides equal if you multiple the numerator by denominator using cross multiplication

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

What is Algebra?

Algebra is the study of mathematical symbols, while logic is the manipulation of those icons.

The product is another name for it. If the same thing, n, is delivered to m different people, we merely multiply them.

The fraction number is given below.

⇒ 13/14 and 169/182

Multiply the fraction number 13/14 by 13 in numerator and denominator. Then the expression is written as,

⇒ (13 x 13)/(14 x 13)

⇒ 196 / 182

The fraction number 13/14 is equal to the fraction number 169/182. Then the true statement is A.

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which is bigger? 36.2 or 36.12
which is bigger? 9.18 or 9.19
which is bigger? 7.6 or 7.60​

Answers

Answer:

36.20

9.19

7.6 and 7.60 are the same number

Step-by-step explanation:

which is bigger? 36.2 or 36.12   ------    36.2 is bigger

which is bigger? 9.18 or 9.19  ----------  9.19 is bigger

which is bigger? 7.6 or 7.60​   ----------   7.6 and 7.60 are the same

State any two types of natural vegetation?

Answers

Answer:

forest, tundra, and grasslands

Hello, please help me with this as well, but show me example how you worked it out?

33 + - 5

Answers

Answer: 28

Step-by-step explanation: A positive (+) and a negative (-) together make it a negative (-) which takes the positive away (+) making it 33 - 5 = 28

Answer:

28

Step-by-step explanation:

Subtract 33 - 5. You should get 28. But since the greater number is positive, the answer will be positive.

6/8 of a gallon of orange juice is left. Six thirsty people want an equal amount of orange juice. How much does each person get?

Answers

Answer:

they each get 1/8 of a gallon of orange juice

Step-by-step explanation:

Maggie noticed that her financial record is missing information. She recalls that on October 15th, she purchased gasoline in the amount of $32.51 and on October 16th, she and her friends went out for dinner, where she spent $25.62. Given this information, and the image below, determine her balance as of October 26th.A bank register. The balance on 10/25 was 170 dollars and 29 cents.a.$112.16b.$62.03c.$27.62d.$2.00

Answers

Based on the balance on her account on October 25th, we can calculate that her balance on October 26th was a. $112.16

Any expenses that we make from our bank account reduces our bank balance. This means that Maggie's buying of gasoline and the dinner she went on will reduce her account balance.

Her new balance will therefore be:

= Beginning amount - Expenses

= 170.29 - 32.51 - 25.62

= $112.16

In conclusion, her balance on October 26th is $112.16

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Answer:

A $112.16

Step-by-step explanation:

(4-1/4+2/3)+(5+4/3-6/5)-(6+7/4+4/5)

Answers

Answer:

The answer is 1…

Step-by-step explanation:

Well you can elimate a lot of fractions right off the bat just multiply everything by 60/1.

the final result will be

(240+15+40)+ (300+90-72)- (360+105+24)

Now solve

240-15+40=265

300+90-72=318

360+105+24=513

265+268-489

265+268= 11

533-513=20

bleh i m not sure naymore

Can someone let me know how to work these out. I don’t want the answer i want the method please!!

Answers

Answer:

45: you want to multiply 1/7 by 49x and then multiply 1/7 by 7y

47: you want to multiply 1/8 by 8x and then multiply 1/8 by -16

49: you want to multiply 1/10 by 100x and then multiply 1/10 by 10y

Answer:

Step-by-step explanation:

factorization, is that how u call it? S: Im not good at english

49 = 7x7, right?

and

7 = 7 x 1

then (49x + 7y) = (7*7x + 7y) = 7(7x + 1y)

7*7x = 49x

7*1y = 7y

--------------------------------------------------------

1*7 -----> 7(7x + 1y)

              -------------

                    7

Simplify 7/7 = 1

answer = 7x +y

Jonathon is paid biweekly. His annual salary is $39,000. What is his biweekly salary? Include a $ in your answer.
plzzzzzzzzzzzzzzzz help me

Answers

There are 52 weeks in a year so divide 39,000 by 52 to find out weekly pay(750) then multiply that by 2 to find biweekly pay (1,500)

Answer: Jonathon gets paid $1,500 biweekly

Find last​ year's salary​ if, after a 5% pay​ raise, this​ year's salary is 35,175

Answers

Answer:

Step-by-step explanation:

x + 0.05x = 36225

x(1 + 0.05) = 36225

x*1.05 = 36225

by solving we find:

x = $34,500

angles a and b in both angles sets are ?

Answers

Answer:

1) b = 60°

2) a = 90°, b = 90°

Step-by-step explanation:

1) Angles on a straight line add to 180° so 180 - 120 is 60°

2) The two lines are perpendicular (meet at right angles) so both angles are 90°

Hope this helps!

Transpose for = + working out too ​

Answers

Answer:Music in a major key can be transposed to any other major key; music in a minor key can be transposed to any other minor key. (Changing a piece from minor to major or vice-versa requires many more changes than simple transposition.) A piece will also sound higher or lower once it is transposed.

Step-by-step explanation:

Please do help.Thanks :)​

Answers

There your answer hope it help you

Find the missing side of each triangle. Leave your answer in simplest radical form.
(Please show ur work)

Answers

Answer:

[tex]x = 2\sqrt{55}[/tex]  

Step-by-step explanation:

Given the values for the leg and hypotenuse:

a (leg) = 6 cm

c (hypotenuse) = 16 cm

Use the Pythagorean Theorem to find the value of the other leg, x:

[tex]x = \sqrt{c^{2} - a^{2} }[/tex]

[tex]x = \sqrt{16^{2} - 6^{2} }[/tex]

[tex]x = 2\sqrt{55}[/tex]  

Answer:

Your answer is [tex]\sqrt{220}[/tex] or 14.8323969...

Step-by-step explanation:

[tex]A^{2} +B^{2} =C^{2} \\x^{2} + 6^{2} =16^{2}[/tex]

[tex]x^{2} =16^{2} -6^{2} \\[/tex]

[tex]x^{2}[/tex] = 256 - 36

x = [tex]\sqrt{220}[/tex]

George walked 6 miles in 2 hours.

What was his average walking rate in miles per hour?

2 miles per hour

3 miles per hour

4 miles per hour

Answers

Answer:

3 miles per hour

Step-by-step explanation:

Well, what we do in these situations is simple. We divide.

So this George guy, he walks six miles in 2 hours.

I think to myself, "Okay, so that's 6 divided by 2."

So, we get 3.

#It'sNotRocketScience

if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

What is Ratio?

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given,

George walked 6 miles in 2 hours.

We need to find his average walking rate in miles per hour

Let x be the average walking rate in miles per hour

Let us form an equation

miles/hour----->6/2=x/1

3=x

So the value of x is 3

Hence if George walked 6 miles in 2 hours. Then his average walking rate in miles per hour is 3 miles per hour

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what is the sum of the first 30 even numbers i added them all up and got 300 but lots of people are getting diffrent answers some how?

Answers

the horses name was friday

I need help for 5 questions and need a answer for them appreciate them

Answers

Answer:

Step-by-step explanation:

The pictures is where my question is someone please answer it.

Answers

Answer:

functions: first one, third one, fifth one, seventh one, eigth one

the rest are not function

Step-by-step explanation:

if it is a function it either passes the line test or it doesnt have two outputs

The diagonals of a rhombus measure 16 cm and 30 cm .find its perimeter ( in easy way)?

Answers

Answer:

68 cm

Step-by-step explanation:

Let ABCD be a rhombus, all sides of the rhombus have equal length and its diagonal AC and BD are intersecting each other at a point O.

As we know that the diagonals in the rhombus bisect each other at 90°.

So, AO can be written as (AC/2)  

= 16/2  

= 8 cm

And, DO can be written as (BD/2)

= 30/2  

= 15 cm

Then, consider the triangle AOD and apply Pythagoras theorem,  

AD2 = AO2 + DO2

AD2 = 82 + 152

AD2 = 64 + 225

AD2 = 289

AD = √289

AD = 17 cm

Hence, the length of each side of the rhombus is 17 cm

Now,

The perimeter of rhombus = 4 × side of the rhombus

= 4 × 17

= 68 cm

Therefore, the perimeter of the rhombus is 68 cm.

9sin(2x) sin (x) = 9cos(x)

Answers

Answer:

[tex] \sin(2x) = 2 \sin(x) \cos(x) \\ 9( 2 \sin(x) \cos(x) ) \sin(x) = 9 \cos(x) \\ 18 { \sin}^{2} (x)9 \cos(x) - 9 \cos(x) = 0 \\ 9 \cos(x) (2{ \sin}^{2} (x) - 1) = 0 \\ 9 \cos(x) = 0 \: or \: 2{ \sin}^{2} (x) - 1 = 0 \\ \sin(x) = \pm \frac{1}{ \sqrt{2} } \\ \cos(x) = 0 \\ x = { \cos}^{ - 1} (0) \\ x = \frac{ \pi}{2} = 90 \degree \\ x = \frac{ \pi}{2} + 2\pi \: n \: \forall \: n \: \in \: \Z \\ = 90 \degree + 360\degree\: n \: \forall \: n \: \in \: \Z \\ = \pm\frac{ \pi}{4} \pm2\pi \: n \: \forall \: n \: \in \: \Z \\ x = \pm45\degree \pm 360\degree\: n \: \forall \: n \: \in \: \Z[/tex]

Find the range of data set 10, 18, 21, 28, 12, 20

Answers

Answer:

range 18

Step-by-step explanation:

Answer:

18

Step-by-step explanation:

1. The range of a data set is the difference between the largest and smallest number. In this case, the largest number is 28, and the smallest number is 10.

[tex]28 - 10[/tex] [tex]18[/tex]

Therefore, the range is 18.

Write the equation parallel to y=−1/4x (meaning with a slope of −1/4) but passing through the point (−12,1).

Answers

Answer: y=1/4x+4

Step-by-step explanation:

Parallel means the new equation will have the same slope.

y= 1/4x+b

We don't know the b value yet but we can plug in coordinates to solve. We can use the one provided since it has to be a value of this equation.

1= 1/4(-12)+b

1= -3+b

b= 4

y=1/4x+4

Kelly runs a distance of 100 metres in a time of 10.52 seconds.
The distance of 100 metres was measured to the nearest metre.

The time of 10.52 seconds was measured to the nearest hundredth of a second.

(a) Write down the upper bound for the distance of 100 metres.

Answers

The upper bound means the highest number that you can round up to the nearest unit, in this case meters. So the upper bound for the distance of 100 meters is 100.4 meters.

Answer:

bye

Step-by-step explanation:

This week a pack of tomato plants cost $25 next week the plants on sale for 15% off Larissa wants to know the price of the tomato plants if she buys them next week

Answers

Step-by-step explanation:

15%25$

[tex] \frac{15}{100} \times 25[/tex]

[tex] \frac{375}{100} [/tex]

=3.75

25-3.75=21.25$

How to solve this question ????
Help me please

Answers

You make them to improper fractions then you find a greatest common factor and then go from there
7
-
38 I think I could be wronged

complete the table to summarize what you know about each rocket.

Answers

need more information. need to see the table

Find the area of the credit card. 2 1/4 in and 3 1/3 in

Answers

Answer:

Step-by-step explanation:

A= W*L

A= 31/3*21/4

A=10.3*5.25

A=54.075cm^2

Answer:

7 1/2in^2

Step-by-step explanation:

LxW=A

2 1/4 x 3 1/3 = A

A = 7 1/2

The formula C = f1 relates the speed (C), frequency (f), and the wave (d) of light.
Choose from the drop down lists to complete the sentence:

Answers

Answer:

Step-by-step explanation:

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